Gaussian RSI | NAL1. Overview
Gaussian RSI | NAL is a smoothed momentum-regime indicator built around an RSI engine filtered through a Gaussian weighting model. Instead of plotting raw RSI, the indicator applies Gaussian smoothing to reduce noise and create a cleaner momentum line.
The signal is then refined with an optional Gaussian confluence filter. This adds a second smoothing layer that acts as a directional confirmation structure, helping separate stronger momentum regimes from weaker internal fluctuations.
2. Calculation
The indicator starts by calculating RSI from the selected source. This creates the base momentum reading used by the rest of the model.
The RSI is then passed through a Gaussian filter. The Gaussian filter weights the lookback window using a bell-curve style distribution, creating a smoother momentum line while still preserving directional movement.
A second Gaussian filter can also be applied as a confluence line. This creates a slower reference layer for the Gaussian RSI, allowing the indicator to judge whether the current RSI structure is aligned with its own smoothed trend.
The bullish condition requires the Gaussian RSI to move above the upper threshold. When confluence is enabled, the Gaussian RSI must also be above the Gaussian confluence line.
The bearish condition requires the Gaussian RSI to move below the lower threshold. When confluence is enabled, the Gaussian RSI must also be below the Gaussian confluence line.
The final state holds its previous direction when neither condition is active. This creates a cleaner regime output instead of constantly flipping to neutral between threshold zones.
3. Key Features
Gaussian-smoothed RSI momentum engine.
Optional Gaussian confluence filter.
Upper and lower threshold-based regime detection.
State-based candle coloring and RSI coloring.
Glow-style RSI plot, regime fills, confluence line, and transition labels.
Designed to reduce raw RSI noise while preserving momentum structure.
4. Use
Gaussian RSI is designed to identify when momentum begins shifting into a stronger bullish or bearish regime. A move above the upper threshold reflects bullish momentum pressure, while a move below the lower threshold reflects bearish momentum pressure.
The confluence filter adds an additional layer of structure by requiring the Gaussian RSI to align with its own smoother reference line. This can help separate cleaner momentum expansions from weaker internal movement.
This indicator is best used as a specialized momentum module within a complete strategy framework. Its role is to isolate a refined RSI-based momentum layer, where the full value comes from how the signal is integrated into a broader process for regime, timing, and execution.
Indicator
Median Gaussian Trend | NAL1. Overview
Median Gaussian Trend | NAL is an adaptive trend-band indicator built from a median price baseline, Gaussian smoothing, and Gaussian-weighted volatility bands.
The indicator is designed to filter raw price movement into a smoother directional structure. Instead of using a simple moving average or standard deviation channel, it first compresses price through a median calculation, then applies Gaussian smoothing to create a cleaner baseline. Around that baseline, it builds adaptive upper and lower bands using Gaussian-weighted deviation.
The result is a robust, smooth trend regime tool that identifies when price breaks outside its filtered volatility structure.
2. Calculation
The indicator starts by calculating a median of the selected source. This helps reduce noise by focusing on the central value of recent price action instead of reacting directly to every candle.
That median value is then passed through a Gaussian filter. The Gaussian filter gives more structured weighting to the lookback window, producing a smoother baseline while still preserving directional movement.
The indicator then calculates a Gaussian-weighted deviation around the smoothed median baseline. This creates a custom volatility measurement that is more aligned with the filtered baseline rather than raw price alone.
The upper and lower bands are then built around the Gaussian-smoothed median. The script allows separate upper and lower multipliers, which lets the band structure be asymmetric if needed.
upper = median_base + sd_range * sd_mul
lower = median_base - sd_range * sd_mulb
A bullish state triggers when price closes above the upper band. A bearish state triggers when price closes below the lower band. When price remains inside the bands, the previous regime is held.
3. Key Features
Median-based price filtering.
Gaussian-smoothed baseline.
Gaussian-weighted volatility deviation.
Adaptive upper and lower trend bands.
Separate upper and lower band multipliers.
State-based candle coloring, band coloring, glow effect, and directional fills.
4. Use
Median Gaussian Trend is designed to identify when price escapes its smoothed median-volatility structure. A close above the upper band reflects bullish expansion, while a close below the lower band reflects bearish expansion.
The median component helps reduce noisy price behavior, while the Gaussian smoothing and deviation engine create a more refined trend envelope. This makes the indicator useful for reading directional structure without relying on a raw moving average channel.
This indicator is best used as a specialized module within a complete strategy framework. Its role is to isolate a filtered volatility-trend layer of price behavior, where the real value comes from how the signal is integrated into a broader process for regime, timing, and execution.
Indicator
Entropy VZO [Alpha Extract]A sophisticated volume-flow and market-information oscillator that combines pressure-weighted volume, statistical normalization, directional entropy, fractal efficiency, Gaussian smoothing, and signal-line analysis into one complete momentum framework. Entropy VZO is designed to measure whether bullish or bearish price movement is supported by meaningful volume while adapting its sensitivity to the quality and organization of current market structure.
Unlike a conventional oscillator displayed in a separate pane, Entropy VZO projects its momentum structure directly onto price using an ATR-scaled anchor. This provides a clear overlay of volume momentum, signal direction, histogram expansion, threshold zones, and dynamic pulse activity without separating the analysis from the underlying chart.
🔶 Pressure-Weighted Volume Flow Engine
Calculates directional volume using a blend of candle pressure and source-price direction. Candle pressure measures the relationship between the candle body and its full range, while source direction determines whether price is advancing or declining.
candlePressure = (close - open) / priceRange
closePressure = ta.change(src) > 0 ? 1.0 : ta.change(src) < 0 ? -1.0 : 0.0
signedPressure = clamp(candlePressure * 0.65 + closePressure * 0.35, -1.0, 1.0)
signedVolume = volume * signedPressure
volumeBase = math.max(ta.ema(volume, vzoLength), 1.0)
vzo = 100.0 * ta.ema(signedVolume, vzoLength) / volumeBase
This produces a more detailed estimate of bullish and bearish participation than assigning all volume according to candle direction alone.
🔶 Normalized VZO Framework
Standardizes the raw VZO against its recent average and standard deviation. This allows the indicator to evaluate current volume pressure relative to the instrument’s own recent behaviour.
Positive readings indicate stronger-than-normal bullish volume flow, while negative readings represent stronger bearish pressure. Larger absolute readings show that the current volume imbalance is becoming increasingly unusual relative to its recent history.
🔶 Directional Entropy Analysis
Measures how evenly upward and downward price changes are distributed across the selected lookback period.
Low entropy indicates that price direction is more ordered and consistent. High entropy indicates a less predictable environment where upward and downward movements are more evenly balanced.
This allows the indicator to give greater weight to volume signals occurring during organized directional movement and reduce their influence during noisy or indecisive conditions.
🔶 Fractal Efficiency Framework
Evaluates how efficiently price has travelled between the beginning and end of the selected lookback relative to the total path taken.
High efficiency indicates that price is moving directly with limited back-and-forth movement. Low efficiency indicates a more irregular path with greater noise and weaker directional structure.
🔶 Information-Weighted Momentum Engine
Combines directional entropy and fractal efficiency into a unified information-quality weight. This weight adjusts the normalized VZO according to how organized and efficient the current market environment is.
informationWeight = clamp((1.0 - entropy) * 0.55 + efficiency * 0.45, 0.05, 1.0)
spectralInput = vzoZ * sensitivity * (0.65 + informationWeight)
fisherCore = tanhSafe(spectralInput) * maxLevel
Volume pressure receives greater emphasis when price movement is both directional and efficient. Signals are moderated when market structure becomes noisy, balanced, or fragmented.
🔶 Bounded Nonlinear Transformation
Applies a protected nonlinear transformation to compress extreme readings into a stable visual range.
This prevents isolated volume spikes from overwhelming the indicator while preserving momentum direction and relative strength. The result is a bounded oscillator centered around zero.
🔶 Gaussian Signal Polishing
Uses custom Gaussian-weighted smoothing to reduce short-term noise while preserving recent momentum information.
Separate smoothing stages are applied to the main oscillator and histogram. Traders can adjust these settings to make the indicator more responsive or more selective depending on their market and timeframe.
🔶 Bullish, Bearish & Neutral Regimes
Classifies the market into three momentum conditions:
• Bullish when the oscillator is above its signal and above zero
• Bearish when the oscillator is below its signal and below zero
• Neutral when momentum direction and zero-line position are not fully aligned
This dual-confirmation structure helps distinguish established directional momentum from weaker signal-line movements.
🔶 ATR-Scaled Price Projection
Projects the oscillator directly onto the price chart using an EMA-based anchor and an ATR-adjusted visual range.
The projection automatically adapts to current volatility, allowing the indicator to maintain a consistent appearance across different assets, prices, and timeframes. The Visual Height setting controls how widely the oscillator is displayed around its price anchor.
🔶 Soft & Hard Momentum Zones
Displays configurable soft and hard momentum thresholds above and below the central price anchor.
Soft levels highlight developing momentum extremes, while hard levels identify stronger volume-flow displacement. These areas provide context for momentum intensity rather than acting as automatic reversal signals.
🔶 Dynamic Pulse Band
Displays a smoothed measure of absolute oscillator strength around the price anchor.
The pulse band expands as momentum intensity increases and contracts when momentum weakens. Its color follows the active regime, creating a visual representation of both directional bias and momentum amplitude.
🔶 Momentum Histogram
Measures the difference between the main oscillator and its signal line to show whether momentum is expanding or contracting.
Bright bullish readings indicate strengthening positive momentum, while faded bullish readings indicate that positive momentum is slowing. Bright bearish readings represent strengthening negative momentum, while faded bearish readings show bearish pressure losing force.
🔶 Signal Ribbon & Glow Architecture
Plots the main Entropy VZO line with a layered glow and an optional ribbon between the oscillator and signal line.
The ribbon changes color according to the active bullish, bearish, or neutral regime. This makes momentum alignment, crossovers, and transition periods easier to identify while maintaining chart readability.
🔶 Dynamic Candle Coloring
Optionally colors OHLC candles according to the current oscillator regime.
Bullish coloring appears when the oscillator is above both its signal and zero. Bearish coloring appears when it is below both references. Neutral coloring identifies mixed, transitional, or weakly confirmed conditions.
🔶 Real-Time Status Dashboard
Features a compact dashboard displaying the indicator’s most important information:
• Current bullish, bearish, or neutral regime
• Main oscillator value
• Normalized VZO Z-score
• Directional entropy percentage
• Fractal efficiency percentage
• Current volume relative to its EMA baseline
This provides an immediate overview of momentum direction, volume abnormality, market organization, directional efficiency, and participation strength.
🔶 Comprehensive Alert System
Includes alerts for the indicator’s primary momentum events:
• Entropy VZO Bull Swing
• Entropy VZO Bear Swing
• Entropy VZO Bull Trend
• Entropy VZO Bear Trend
Swing alerts trigger when the oscillator crosses its signal line. Trend alerts trigger when the oscillator crosses the zero level, allowing traders to monitor both early momentum shifts and broader directional transitions.
🔶 Why Choose Entropy VZO ?
Entropy VZO expands traditional volume-flow analysis by combining pressure-weighted volume, statistical normalization, directional entropy, and fractal efficiency within one adaptive momentum framework. Instead of treating every increase in volume equally, the system evaluates whether that participation is occurring inside an organized and efficient market environment.
The oscillator and signal line identify direction, the histogram measures momentum expansion, the pulse band displays intensity, and the soft and hard zones provide context for elevated readings. Its ATR-scaled projection keeps the complete framework connected directly to price, while the live dashboard provides fast insight into volume flow, entropy, efficiency, and the active regime.
Perfect for momentum traders, swing traders, trend-following traders, and systematic analysts who want a cleaner way to determine whether directional price movement is supported by meaningful and structurally efficient volume flow. Indicator
PGS - Pareto-Gaussian Skew [Zofesu]PGS - Pareto-Gaussian Skew is a trend gravity indicator built on two mathematical principles: the Gaussian distribution for detecting statistically significant price moves, and the Pareto principle for isolating the minority of moves that drive the majority of directional displacement.
The result is a single adaptive line that acts as a gravitational center — pulling toward institutional price displacement while filtering out the noise that makes standard moving averages lag or whipsaw.
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01 — What is PGS?
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PGS plots a gravity line that tracks where price is being pulled by significant institutional moves. Unlike a standard moving average, it does not react to all price movement equally. It reacts only when price moves beyond one standard deviation from its mean — the threshold where statistically normal noise ends and directional displacement begins.
Below that threshold, the line stays anchored to the mean. Above it, the Pareto Skew Factor shifts the gravity line toward the extreme, capturing the 20% of moves that drive 80% of the trend.
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02 — How it works
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The engine runs in three steps:
Step 1 — Mean and standard deviation
SMA and standard deviation are calculated over the lookback window (default 100 bars). This defines the Gaussian baseline — the statistical center of recent price behavior.
Step 2 — Extreme detection
The distance between current close and the mean is measured. If that distance exceeds 1x standard deviation, the move is classified as extreme. Moves within 1 standard deviation are treated as noise and ignored.
Step 3 — Pareto displacement
Extreme moves are multiplied by the Pareto Skew Factor (default 0.8). This skewed value is then smoothed with an EMA over a quarter of the lookback period and added back to the mean — producing the final gravity line.
Formula:
gravity = SMA(close, n) + EMA(d × extreme × skew, n/4)
where d = close − SMA(close, n), extreme = 1 if |d| > StDev else 0
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03 — Visuals
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Blue line — Pareto-Gaussian gravity line
Tension Cloud — fill between price and the gravity line.
Green fill = price above gravity line (bullish tension).
Pink fill = price below gravity line (bearish tension).
Note: Price Reference and PGS Reference appear in the indicator's plot list but are invisible on the chart. They are internal anchors required by Pine Script's fill() function and serve no visual or analytical purpose for the user.
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04 — Settings
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Smith's Memory (Lookback) — default 100
Number of candles used for the Gaussian baseline. Higher = slower, more stable line. Lower = faster, more reactive.
Pareto Skew Factor — default 0.8
Weight applied to extreme moves. Higher = gravity line shifts more aggressively toward institutional displacement. Lower = more conservative, stays closer to the mean.
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05 — How To Use
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Step 1 — Read the Tension Cloud
Green fill = price is above the gravity line. Bullish context — look for longs or hold existing positions.
Pink fill = price is below the gravity line. Bearish context — look for shorts or avoid longs.
Step 2 — Watch for gravity line crossings
Price crossing the gravity line from below = potential bullish shift.
Price crossing from above = potential bearish shift.
Step 3 — Use as dynamic support and resistance
In trending markets the gravity line acts as a dynamic S/R level. Price pulling back to the line in a green cloud = potential long entry zone.
Step 4 — Combine with higher timeframe context
PGS works best as a trend context filter alongside entry tools. It defines the direction — your entry indicator defines the moment.
Works on all asset classes: Indices, Forex, Gold, Oil, Crypto.
Best timeframes: H1, H4, D1. Indicator
Indicator
Exponential Nadaraya Watson kernel regression [Jamallo](2025)
Intro
Nadaraya-Watson (N-W) kernel regression is a non-parametric smoothing technique that estimates the underlying trend of a price series without assuming any fixed model shape (like a straight line or curve). Unlike a simple moving average which weights bars equally, or an EMA which applies a fixed exponential decay, N-W regression derives its curve by computing a weighted average of all prices within a lookback window — where the weights are determined by a kernel function.
The most common kernel used is the Gaussian kernel, which assigns weights in a bell-curve shape — prices closer to the center of the window receive higher weight, prices at the edges receive lower weight. Most N-W implementations use a pure symmetric Gaussian kernel, meaning every bar within the lookback window is weighted purely by its distance from the center, with no preference for recency.
This indicator uses a hybrid Exponential Nadaraya-Watson (ENW) kernel that combines two weighting forces simultaneously:
Gaussian spatial weight — bell-curve weighting centered on the window, same as standard N-W
Exponential time-decay weight — progressively heavier weighting on recent bars, similar to how an EMA behaves
Both weights are multiplied together for each bar, meaning a price bar must be both spatially central and recent to receive maximum influence. In practice this shifts the effective weight peak toward the recent end of the window, making the K Line more responsive to current price action than standard N-W.
Breakdown
K Line — ENW Kernel Regression
The central baseline of the indicator. A smooth adaptive curve derived from the hybrid ENW kernel applied to closing prices. Bandwidth is controlled via the Kernel Length and Alpha inputs — higher alpha increases the recency bias, lower alpha brings behavior closer to standard N-W.
Volatility Bands (Inner & Outer)
Rather than using ATR or standard deviation for band width, this indicator measures the absolute deviation of price from the K Line and smooths that deviation through the same ENW kernel. This means bands are fully adaptive — they expand and contract organically based on how far price has been straying from the regression curve, not a fixed statistical formula. Inner and outer bands are independently scaled via deviation multipliers.
A Line — Vervoort ATR Stop
A trailing stop built on the HLC4 price source with an ATR-based loss distance. Flips direction on a close beyond the stop level. Serves as the primary trend bias line — when above the K Line the fill turns bullish, when below it turns bearish. Cross signals (triangles) are plotted whenever the A Line crosses the K Line, marking potential trend shifts.
Signal Line — Vervoort ATR Stop (Secondary)
A second independent Vervoort trailing stop running on its own ATR period and multiplier settings. Typically configured looser than the A Line — wider multiplier, longer or equal period — so it acts as a slower confirmation layer. Useful for filtering noise on the A Line crosses: an A Line cross that also aligns with the Signal Line's bias carries more weight than one that doesn't.
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Nadaraya-Watson kernel regression concept — E. Nadaraya (1964), G.S. Watson (1964)
Vervoort ATR Stop — Sylvain Vervoort
Indicator
Indicator
MFI Distribution [UAlgo]MFI Distribution is a statistics focused Money Flow Index indicator that combines a live MFI oscillator with a forward projected distribution histogram and normality diagnostics. Instead of only showing the current MFI line, the script collects a rolling history of MFI values, studies their distribution over a configurable lookback period, and visualizes the result as a histogram in the oscillator pane.
The indicator is designed for traders who want to understand how MFI behaves as a distribution , not only where it is on the current bar. It provides a compact statistical framework that helps answer questions such as:
Is MFI clustering around a narrow regime or spread across the full range
Is the recent MFI behavior skewed toward strong buying or selling pressure
Does the MFI sample look approximately normal, or is it fat tailed / asymmetric
How extreme is the current reading relative to the recent distribution
To support this, the script includes:
A live MFI line with dynamic gradient coloring
Overbought and oversold visual zones with gradient fills
A histogram of MFI frequency distribution over the selected lookback
An optional Gaussian curve overlay for visual comparison
A statistical dashboard with mean, standard deviation, skewness, kurtosis, and Jarque Bera normality test results
The histogram is drawn into the future area of the pane, so it does not interfere with the live MFI trace while still remaining visually aligned to the 0 to 100 oscillator scale.
Educational tool only. Not financial advice.
🔹 Features
🔸 1) Live MFI Oscillator with Regime Aware Coloring
The script plots a standard MFI line and colors it dynamically based on level behavior:
High MFI values transition toward red tones
Low MFI values transition toward green tones
Mid range values remain purple
This makes the oscillator easier to read at a glance, especially during sustained overbought or oversold conditions.
🔸 2) Overbought and Oversold Zone Visualization
The indicator includes standard MFI reference levels at 80 and 20, then adds gradient fills that become visible when the MFI pushes into extreme zones. This provides better visual emphasis for momentum extremes without cluttering the chart.
🔸 3) Rolling MFI History Collection for Statistical Analysis
The script maintains an internal array of the latest MFI values up to the user defined lookback length. This rolling sample is used to compute all distribution statistics and histogram frequencies on the last bar.
This design keeps the indicator responsive while ensuring the displayed distribution reflects the most recent market behavior.
🔸 4) Forward Projected MFI Distribution Histogram
A histogram is drawn in the oscillator pane using bins over the fixed MFI range from 0 to 100. Each bin counts how many MFI observations fall inside that interval during the lookback window.
The histogram is projected to the right of current price action in the pane, giving users a clean distribution panel without covering the live MFI line.
🔸 5) Configurable Histogram Resolution and Width
Users can control:
Lookback period used for distribution analysis
Number of histogram bins
Visual width of the histogram in future bars
This makes the tool flexible for both high level regime reading and finer distribution inspection.
🔸 6) Optional Gaussian Curve Overlay
When enabled, the script overlays a theoretical normal distribution curve using the sample mean and sample standard deviation. The curve is normalized to the histogram height so users can visually compare the empirical MFI distribution against a bell curve shape.
This is useful for quickly spotting asymmetry, multimodal clustering, or fat tail behavior.
🔸 7) Full Statistical Summary Dashboard
A built in dashboard table displays:
Mean
Standard Deviation
Skewness
Kurtosis (excess kurtosis)
Jarque Bera statistic
Pass / Fail normality status (95% threshold logic)
This turns the indicator into a compact quantitative diagnostic panel, not only a visual oscillator.
🔸 8) Jarque Bera Normality Test Classification
The script evaluates whether the MFI sample is approximately normal using a Jarque Bera style test and a fixed chi square threshold (95% confidence, 2 degrees of freedom). It then marks the result as PASS (Normal) or FAIL (Non Normal).
This helps traders distinguish between more stable oscillator regimes and structurally distorted ones.
🔸 9) Histogram Color Theme Based on Normality Result
The histogram automatically changes style depending on the test result:
Teal themed histogram when normality test passes
Red themed histogram when normality test fails
This creates an immediate visual signal of distribution quality without needing to read the dashboard first.
🔸 10) Last Bar Only Heavy Processing for Efficiency
Statistical calculations, histogram drawing, and dashboard refresh are performed only on the last bar. This reduces object churn and improves performance while preserving real time utility.
🔸 11) Object Based Drawing Management
The script uses custom types to organize logic:
DistributionStats for statistical values and normality output
HistoDrawer for histogram bars, curve lines, and labels
This makes the code structured and easier to extend with future features such as percentiles, z scores, or alternate tests.
🔹 Calculations
1) MFI Calculation
The script computes Money Flow Index from a user selected source and length:
mfi_val = ta.mfi(mfi_src, mfi_len)
This value is plotted in the oscillator pane and colored dynamically according to level.
2) Rolling History Buffer for Distribution Sampling
Each valid MFI value is pushed into a rolling array used for statistical analysis:
if not na(mfi_val)
mfi_history.push(mfi_val)
if mfi_history.size() > lookback
mfi_history.shift()
This ensures the sample size is capped at the selected lookback and continuously refreshed with recent values.
3) Sample Variance and Standard Deviation
The script computes sample variance using the classic n minus 1 denominator:
sum_sq_diff / (n - 1)
Standard deviation is then calculated as:
stats.stdev := math.sqrt(variance_val)
Using sample variance is appropriate here because the lookback window is treated as a sample of recent market behavior.
4) Sample Skewness Calculation
Skewness is computed from standardized deviations and corrected for sample size:
(n * sum_cube_diff) / ((n - 1) * (n - 2))
Interpretation:
Positive skew suggests more mass on lower values with a right tail toward high MFI prints
Negative skew suggests more mass on higher values with a left tail toward low MFI prints
5) Excess Kurtosis Calculation
The script calculates excess kurtosis , where a normal distribution is centered around 0:
float term1 = (n * (n + 1) * sum_quad_diff) / ((n - 1) * (n - 2) * (n - 3))
float term2 = (3 * math.pow(n - 1, 2)) / ((n - 2) * (n - 3))
term1 - term2
Interpretation:
Positive excess kurtosis suggests heavier tails or more peaked behavior
Negative excess kurtosis suggests flatter distribution behavior
6) Jarque Bera Normality Test
The script uses skewness and excess kurtosis to compute the Jarque Bera statistic:
stats.jb_stat := (n / 6.0) * (math.pow(stats.skew, 2) + 0.25 * math.pow(stats.kurt, 2))
Then it compares the result against a 95 percent chi square critical value (2 degrees of freedom):
stats.is_normal := stats.jb_stat < 5.991
Important note:
The code defines a jb_p_value field in the stats type, but this version does not explicitly calculate or display a p value. The pass / fail logic is threshold based.
7) Fixed MFI Range Histogram Binning (0 to 100)
The histogram always bins data over the full MFI range:
float min_val = 0.0
float max_val = 100.0
float bin_size = (max_val - min_val) / bins
Each MFI value is mapped to a bin index:
int bin_idx = math.floor(val / bin_size)
The index is clamped so values at boundaries stay valid:
if bin_idx >= bins
bin_idx := bins - 1
if bin_idx < 0
bin_idx := 0
This makes the histogram consistent across symbols and timeframes.
8) Frequency Counting and Peak Detection
For each binned MFI observation, the script increments a frequency counter and tracks the highest bin count:
int new_count = frequencies.get(bin_idx) + 1
frequencies.set(bin_idx, new_count)
if new_count > max_freq
max_freq := new_count
The maximum frequency is later used to normalize histogram bar heights.
9) Histogram Rendering Geometry
The histogram is drawn as boxes in the oscillator pane, projected to the right of the last bar:
int start_bar = bar_index + 5
float base_y = 10.0
float available_height = 80.0
This effectively uses the MFI pane vertical range from about 10 to 90 for histogram height visualization, keeping it aligned with the oscillator scale.
Each bin is mapped to x coordinates using its MFI interval and the user selected histogram width:
int x_left = start_bar + math.round((bin_val_start / 100.0) * chart_width_bars)
int x_right = start_bar + math.round((bin_val_end / 100.0) * chart_width_bars)
Each frequency is mapped to a vertical height using:
float bar_height_val = (freq / max_freq) * available_height
10) Histogram Color Logic from Normality Result
The histogram color theme is selected from the Jarque Bera pass / fail result:
Teal palette when stats.is_normal is true
Red palette when stats.is_normal is false
This creates a direct link between statistical classification and visual presentation.
11) Gaussian Curve Overlay Calculation
The script defines a normal probability density function:
(1.0 / (sigma * math.sqrt(2.0 * math.pi))) * math.exp(-0.5 * math.pow((x - mu) / sigma, 2))
For curve plotting:
It samples points across the histogram width
Maps each x position back to an MFI value from 0 to 100
Computes the PDF at that MFI value using the sample mean and standard deviation
Scales the PDF by the theoretical peak so the curve fits the histogram height
Key normalization idea:
float pdf_peak = normal_pdf(stats.mean, stats.mean, stats.stdev)
float current_y = base_y + (pdf_val / pdf_peak) * available_height
This makes the Gaussian curve visually comparable to the empirical histogram, even though one is a density and the other is raw frequency.
12) Dashboard Table Metrics
On the last bar, the script updates a table with the computed statistics:
Mean
StdDev
Skewness
Kurtosis
Jarque Bera statistic and normality classification
The result cell color changes based on normality:
Green for PASS (Normal)
Red for FAIL (Non Normal)
This gives traders a compact quantitative summary next to the visual distribution.
13) Overbought and Oversold Gradient Fills
The script adds gradient fills that appear when MFI moves beyond standard thresholds:
fill(plot_mfi, p_ob, 100, 80, ...)
fill(plot_mfi, p_os, 20, 0, ...)
This helps contextualize whether the current MFI reading is extreme while the histogram and dashboard describe the broader behavior of the recent MFI sample. Indicator
Gaussian Volume Profile [LuxAlgo]The Gaussian Volume Profile indicator is a sophisticated volume analysis tool that uses the Levenberg-Marquardt optimization algorithm to fit a Sum of Gaussians model to historical volume distribution.
This approach transcends traditional discrete volume profiles by providing a continuous, noise-reduced representation of liquidity clusters, allowing for the precise identification of high-volume nodes and their respective price boundaries.
🔶 USAGE
The indicator projects a lateral volume density map to the right of the current price action. Users can utilize this tool to identify "fair value" zones where the Gaussian peaks are most concentrated. Unlike standard profiles that show jagged horizontal bars, this tool provides a smooth "fit" line that highlights the true center of gravity for volume at specific price levels.
🔹 Identifying High-Volume Nodes
The script automatically detects local maxima (peaks) within the fitted Gaussian model. These peaks represent the most significant price levels where the highest density of trading occurred. Horizontal dashed lines are drawn at these apexes, color-coded to match the specific Gaussian component that is most dominant at that price.
🔹 Zone Width and Volatility
By observing the width (standard deviation) of the individual Gaussian components (the dotted curves), traders can gauge the "breadth" of a value area. A narrow, sharp peak suggests a very specific price level of agreement, while a wide, shallow curve indicates a broad range where volume was distributed less precisely.
🔶 DETAILS
This tool represents a scientific advancement over regular Volume Profiles by applying a Gaussian Density model to market data:
Noise Reduction: Discrete profiles are often "noisy," with small volume gaps between price ticks. The Sum of Gaussians model acts as a sophisticated filter, smoothing out insignificant variances to reveal the underlying structural liquidity.
Levenberg-Marquardt Optimization: The script utilizes the LM algorithm, a standard in non-linear least squares problems, to iteratively refine the fit of multiple Gaussian pulses. This ensures the model converges on the most mathematically accurate representation of the volume data.
Precise Liquidity Centers: While a standard profile bin might be several ticks wide, the Gaussian apex provides a mathematically derived "center" ($\mu$) for liquidity, often offering more precise support and resistance levels.
Continuous Distribution: Because it models volume as a continuous function, it can estimate volume density between discrete price bins, providing a more fluid view of market interest.
The visual output combines a lateral histogram with a bold Gaussian density curve, color-coded components, and auto-detected peak levels for a comprehensive view of institutional interest.
🔶 SETTINGS
🔹 Profile Settings
Lookback Window: The number of historical bars used to calculate the volume profile distribution.
Number of Bins: Determines the vertical resolution of the profile. More bins provide more detail but require more computation.
🔹 Gaussian Settings
Max Potential Peaks: The maximum number of Gaussian components (nodes) the algorithm will attempt to fit to the data.
Max Iterations: Controls how many times the LM optimizer refines the fit. Higher values improve accuracy but may impact performance.
Initial Lambda: The damping factor for the optimization algorithm, affecting the early steps of the fitting process.
🔹 Visuals
Histogram Resolution: The maximum horizontal length of the projected histogram and fit line, measured in bar widths.
Highlight Window Range: Toggles a visual background box covering the historical lookback area for context.
Highlight Detected Peaks: Detects local maxima in the final fit and draws horizontal dashed levels at those price points.
Fit Color: Sets the static color for the main density curve.
Auto: When enabled, the fit color automatically adapts to your chart's foreground color (e.g., white on dark backgrounds).
Indicator
Adaptive Nadaraya-Watson (Non Repainting) [Metrify]To understand this implementation of the Nadaraya-Watson estimator, we have to look at the core equation governing non-parametric regression. This script aren't trying to average prices; we are trying to find the probability density of where price should be relative to its recent history.
1. The Kernel Physics (Bandwidth Modulation)
In standard kernel regression, you have a bandwidth parameter (h). This controls the "smoothness" of the curve. If h is too low, the curve jitters with every tick of noise. If h is too high, it acts like a sluggish SMA.
A static h fails because market volatility is dynamic. When the market explodes (high volatility), a tight bandwidth generates false signals. When the market sleeps, a wide bandwidth misses the micro-trends.
It try solving this by making h a function of the Asset's volatility ratio:
heff=h×max(0.5,min(SMA(ATR20,100)ATR20,2.0))
If the current ATR(20) is double the long-term average (100), the bandwidth doubles. This forces the estimator to "zoom out" during chaos, effectively ignoring noise that would otherwise look like a reversal.
vol_ratio = use_vol ? vol_raw / (vol_base == 0 ? 1 : vol_base) : 1.0
vol_mod = math.max(0.5, math.min(vol_ratio, 2.0))
h_eff = h_val * vol_mod
2. The Gaussian Loop (Endpoint Estimation)
Standard Nadaraya-Watson scripts repaint because they calculate the regression over a full window centered on the bar. To make this usable for live trading, we must calculate the Endpoint Estimate.
We iterate backward from the current bar (i=0) to the lookback limit. For every historical price Xi, we calculate a weight wi based on how far away it is in time (distance).
The weight is derived from the Gaussian Kernel function:
wi=exp(−2heff2i2)
Price data closer to the current bar (i=0) gets a weight near 1.0. Data further away (i=50) decays exponentially toward 0.
for i = 0 to lookback by 1
float dist = float(i)
float w = math.exp(-math.pow(dist, 2) / (2 * math.pow(h_eff, 2)))
num := num + w * src
den := den + w
3. Statistical Deviation (MAE vs. StDev)
Most Bollinger Band-style indicators use Standard Deviation (Root Mean Square). The problem with StDev is that it squares the errors, which heavily penalizes large outliers. In crypto or volatile forex pairs, one wick can blow out the bands for 20 bars.
This one use Mean Absolute Error (MAE) instead.
MAE=N1∑∣Price−y^∣
MAE is linear. It measures the average distance price strays from the kernel estimate without squaring the penalty. This creates "tighter" bands that adhere closer to price action during normal trend behavior but don't expand ridiculously during a flash crash.
Pine Script
float error = math.abs(src - y_hat)
float mae = ta.sma(error, lookback)
We project two sets of bands:
Inner Band (Balanced): The "Noise Zone". Price inside here is considered random walk.
Outer Band (Precision): The "Exhaustion Zone". Price reaching here is statistically unlikely (2.8x MAE).
Input & Visual Summary
Kernel Physics:
h_val: The base smoothness. Lower (e.g., 6) = faster, noisier. Higher (e.g., 10) = slower, smoother.
use_vol: Keep this TRUE. It prevents the bands from being too tight during news events.
Envelope Statistics:
mult_in / mult_out: These are your risk settings. 1.5/2.8 is a standard deviation-like setting suited for MAE.
Indicator
Half Causal EstimatorOverview
The Half Causal Estimator is a specialized filtering method that provides responsive averages of market variables (volume, true range, or price change) with significantly reduced time delay compared to traditional moving averages. It employs a hybrid approach that leverages both historical data and time-of-day patterns to create a timely representation of market activity while maintaining smooth output.
Core Concept
Traditional moving averages suffer from time lag, which can delay signals and reduce their effectiveness for real-time decision making. The Half Causal Estimator addresses this limitation by using a non-causal filtering method that incorporates recent historical data (the causal component) alongside expected future behavior based on time-of-day patterns (the non-causal component).
This dual approach allows the filter to respond more quickly to changing market conditions while maintaining smoothness. The name "Half Causal" refers to this hybrid methodology—half of the data window comes from actual historical observations, while the other half is derived from time-of-day patterns observed over multiple days. By incorporating these "future" values from past patterns, the estimator can reduce the inherent lag present in traditional moving averages.
How It Works
The indicator operates through several coordinated steps. First, it stores and organizes market data by specific times of day (minutes/hours). Then it builds a profile of typical behavior for each time period. For calculations, it creates a filtering window where half consists of recent actual data and half consists of expected future values based on historical time-of-day patterns. Finally, it applies a kernel-based smoothing function to weight the values in this composite window.
This approach is particularly effective because market variables like volume, true range, and price changes tend to follow recognizable intraday patterns (they are positive values without DC components). By leveraging these patterns, the indicator doesn't try to predict future values in the traditional sense, but rather incorporates the average historical behavior at those future times into the current estimate.
The benefit of using this "average future data" approach is that it counteracts the lag inherent in traditional moving averages. In a standard moving average, recent price action is underweighted because older data points hold equal influence. By incorporating time-of-day averages for future periods, the Half Causal Estimator essentially shifts the center of the filter window closer to the current bar, resulting in more timely outputs while maintaining smoothing benefits.
Understanding Kernel Smoothing
At the heart of the Half Causal Estimator is kernel smoothing, a statistical technique that creates weighted averages where points closer to the center receive higher weights. This approach offers several advantages over simple moving averages. Unlike simple moving averages that weight all points equally, kernel smoothing applies a mathematically defined weight distribution. The weighting function helps minimize the impact of outliers and random fluctuations. Additionally, by adjusting the kernel width parameter, users can fine-tune the balance between responsiveness and smoothness.
The indicator supports three kernel types. The Gaussian kernel uses a bell-shaped distribution that weights central points heavily while still considering distant points. The Epanechnikov kernel employs a parabolic function that provides efficient noise reduction with a finite support range. The Triangular kernel applies a linear weighting that decreases uniformly from center to edges. These kernel functions provide the mathematical foundation for how the filter processes the combined window of past and "future" data points.
Applicable Data Sources
The indicator can be applied to three different data sources: volume (the trading volume of the security), true range (expressed as a percentage, measuring volatility), and change (the absolute percentage change from one closing price to the next).
Each of these variables shares the characteristic of being consistently positive and exhibiting cyclical intraday patterns, making them ideal candidates for this filtering approach.
Practical Applications
The Half Causal Estimator excels in scenarios where timely information is crucial. It helps in identifying volume climaxes or diminishing volume trends earlier than conventional indicators. It can detect changes in volatility patterns with reduced lag. The indicator is also useful for recognizing shifts in price momentum before they become obvious in price action, and providing smoother data for algorithmic trading systems that require reduced noise without sacrificing timeliness.
When volatility or volume spikes occur, conventional moving averages typically lag behind, potentially causing missed opportunities or delayed responses. The Half Causal Estimator produces signals that align more closely with actual market turns.
Technical Implementation
The implementation of the Half Causal Estimator involves several technical components working together. Data collection and organization is the first step—the indicator maintains a data structure that organizes market data by specific times of day. This creates a historical record of how volume, true range, or price change typically behaves at each minute/hour of the trading day.
For each calculation, the indicator constructs a composite window consisting of recent actual data points from the current session (the causal half) and historical averages for upcoming time periods from previous sessions (the non-causal half). The selected kernel function is then applied to this composite window, creating a weighted average where points closer to the center receive higher weights according to the mathematical properties of the chosen kernel. Finally, the kernel weights are normalized to ensure the output maintains proper scaling regardless of the kernel type or width parameter.
This framework enables the indicator to leverage the predictable time-of-day components in market data without trying to predict specific future values. Instead, it uses average historical patterns to reduce lag while maintaining the statistical benefits of smoothing techniques.
Configuration Options
The indicator provides several customization options. The data period setting determines the number of days of observations to store (0 uses all available data). Filter length controls the number of historical data points for the filter (total window size is length × 2 - 1). Filter width adjusts the width of the kernel function. Users can also select between Gaussian, Epanechnikov, and Triangular kernel functions, and customize visual settings such as colors and line width.
These parameters allow for fine-tuning the balance between responsiveness and smoothness based on individual trading preferences and the specific characteristics of the traded instrument.
Limitations
The indicator requires minute-based intraday timeframes, securities with volume data (when using volume as the source), and sufficient historical data to establish time-of-day patterns.
Conclusion
The Half Causal Estimator represents an innovative approach to technical analysis that addresses one of the fundamental limitations of traditional indicators: time lag. By incorporating time-of-day patterns into its calculations, it provides a more timely representation of market variables while maintaining the noise-reduction benefits of smoothing. This makes it a valuable tool for traders who need to make decisions based on real-time information about volume, volatility, or price changes. Indicator
Truly Iterative Gaussian ChannelOVERVIEW
The Truly Iterative Gaussian Channel is a robust channeling system that integrates a Gaussian smoothing kernel with a rolling standard deviation to create dynamically adaptive upper and lower boundaries around price. This indicator provides a smooth, yet responsive representation of price movements while minimizing lag and dynamically adjusting channel width to reflect real-time market volatility. Its versatility makes it effective across various timeframes and trading styles, offering significant potential for experimentation and integration into advanced trading systems.
TRADING USES
The Gaussian indicator can be used for multiple trading strategies. Trend following relies on the middle Gaussian line to gauge trend direction: prices above this line indicate bullish momentum, while prices below signal bearish momentum. The upper and lower boundaries act as dynamic support and resistance levels, offering breakout or pullback entry opportunities. Mean reversion focuses on identifying reversal setups when price approaches or breaches the outer boundaries, aiming for a return to the Gaussian centerline. Volatility filtering helps assess market conditions, with narrow channels indicating low volatility or consolidation and suggesting fewer trading opportunities or an impending breakout. Adaptive risk management uses channel width to adjust for market volatility, with wider channels signaling higher risk and tighter channels indicating lower volatility and potentially safer entry points.
THEORY
Gaussian kernel smoothing, derived from the Gaussian normal distribution, is a cornerstone of probability and statistics, valued for its ability to reduce noise while preserving critical signal features. In this indicator, it ensures price movements are smoothed with precision, minimizing distortion while maintaining responsiveness to market dynamics.
The rolling standard deviation complements this by dynamically measuring price dispersion from the mean, enabling the channel to adapt in real time to changing market conditions. This combination leverages the mathematical correctness of both tools to balance smoothness and adaptability.
An iterative framework processes data efficiently, bar by bar, without recalculating historical value to ensure reliability and preventing repainting to create a mathematically grounded channel system suitable for a wide range of market environments.
The Gaussian channel excels at filtering noise while remaining responsive to price action, providing traders with a dependable tool for identifying trends, reversals, and volatility shifts with consistency and precision.
CALIBRATION
Calibration of the Gaussian channel involves adjusting its length to modify sensitivity and adaptability based on trading style. Shorter lengths (e.g., 50-100) are ideal for intraday traders seeking quick responses to price fluctuations. Medium lengths (e.g., 150-200) cater to swing traders aiming to capture broader market trends. Longer lengths (e.g., 250-400+) are better suited for positional traders focusing on long-term price movements and stability.
MARKET USAGE
Stock, Forex, Crypto, Commodities, and Indices. Indicator
Volatility Gaussian Bands [BigBeluga]The Volatility Gaussian Bands indicator is a cutting-edge tool designed to analyze market trends and volatility with high precision. By applying a Gaussian filter to smooth price data and implementing dynamic bands based on market volatility, this indicator provides clear signals for trend direction, strength, and potential reversals. With updated volatility calculations, it enhances the accuracy of trend detection, making it a powerful addition to any trader's toolkit.
⮁ KEY FEATURES & USAGE
● Gaussian Filter Trend Bands:
The Gaussian Filter forms the foundation of this indicator by smoothing price data to reveal the underlying trend. The trend is visualized through upper and lower bands that adjust dynamically based on market volatility. These bands provide clear visual cues for traders: a crossover above the upper band indicates a potential uptrend, while a cross below the lower band signals a potential downtrend. This feature allows traders to identify trends with greater accuracy and act accordingly.
● Dynamic Trend Strength Gauges:
The indicator includes trend strength gauges positioned at the top and bottom of the chart. These gauges dynamically measure the strength of the uptrend and downtrend, based on the middle Gaussian line. Even if the trend is downward, a rising midline will cause the upward trend strength gauge to show an increase, offering a nuanced view of the market’s momentum.
Weakening of the trend:
● Fast Trend Change Indicators:
Triangles with a "+" symbol appear on the chart to signal rapid changes in trend direction. These indicators are particularly useful when the trend changes swiftly while the midline continues to grow in its previous direction. For instance, during a downtrend, if the trend suddenly shifts upward while the midline is still declining, a triangle with a "+" will indicate this quick reversal. This feature is crucial for traders looking to capitalize on rapid market movements.
● Retest Signals:
Retest signals, displayed as triangles, highlight potential areas where the price may retest the Gaussian line during a trend. These signals provide an additional layer of analysis, helping traders confirm trend continuations or identify possible reversals. The retest signals can be customized based on the trader’s preferences.
⮁ CUSTOMIZATION
● Length Adjustment:
The length of the Gaussian filter can be customized to control the sensitivity of trend detection. Shorter lengths make the indicator more responsive, while longer lengths offer a smoother, more stable trend line.
● Volatility Calculation Mode:
Traders can select from different modes (AVG, MEDIAN, MODE) to calculate the Gaussian filter, allowing for flexibility in how trends are detected and analyzed.
● Retest Signals Toggle:
Enable or disable the retest signals based on your trading strategy. This toggle allows traders to choose whether they want these additional signals to appear on the chart, providing more control over the information displayed during their analysis.
⮁ CONCLUSION
The Volatility Gaussian Bands indicator is a versatile and powerful tool for traders focused on trend and volatility analysis. By combining Gaussian-filtered trend lines with dynamic volatility bands, trend strength gauges, and rapid trend change indicators, this tool provides a comprehensive view of market conditions. Whether you are following established trends or looking to catch early reversals, the Volatility Gaussian Bands offers the precision and adaptability needed to enhance your trading strategy. Indicator
Gaussian Filter [BigBeluga]The Gaussian Filter - BigBeluga indicator is a trend-following tool that uses a Gaussian filter to smooth price data and identify directional shifts in the market. It provides dynamic signals for entering and exiting trades based on trend changes, helping traders stay aligned with the market's momentum. What sets this indicator apart is its ability to display precise entry and exit points with real-time tracking of percentage price changes, making it ideal for trend-based strategies.
SP500:
NIFTY50:
🔵 KEY FEATURES & USAGE
◉ Gaussian Filter Trend Line:
//@function GaussianFilter is used for smoothing, reducing noise, and computing derivatives of data.
//@param src (float) The source data (e.g., close price) to be smoothed.
//@param params (GaussianFilterParams) Gaussian filter parameters that include length and sigma.
//@returns (float) The smoothed value from the Gaussian filter.
gaussian_filter(float src, params) =>
var float weights = array.new_float(params.length) // Array to store Gaussian weights
total = 0.0
pi = math.pi
for i = 0 to params.length - 1
weight = math.exp(-0.5 * math.pow((i - params.length / 2) / params.sigma, 2.0))
/ math.sqrt(params.sigma * 2.0 * pi)
weights.set(i, weight)
total := total + weight
for i = 0 to params.length - 1
weights.set(i, weights.get(i) / total)
sum = 0.0
for i = 0 to params.length - 1
sum := sum + src * weights.get(i)
sum
The core functionality of the Gaussian Filter line is to show trend direction. When the trend line increases four times consecutively, it indicates an uptrend signal. Similarly, if it decreases four times in a row, it signals a downtrend. The smoothness of the filter helps traders stay on the right side of the market by filtering out noise and emphasizing the dominant trend direction.
◉ Entry and Exit Levels with Real-Time Price and Performance Data:
Each time the indicator detects a trend change, it plots an entry or exit level on the chart. For an uptrend, an entry level is marked, and for a downtrend, an exit level is plotted. These levels display the price at the time of the signal.
While the trend is ongoing, the indicator tracks the percentage change in price from the initial entry or exit signal to the current bar, updating in real-time. When a trend concludes, it displays the total percentage change from the entry or exit point to the trend's end. This feature provides valuable insights into how much the price has moved during each trend phase and allows traders to monitor the performance of each trade.
◉ Color-Coded Candlestick Representation with Trend Shift Alerts:
In addition to coloring the candlesticks based on the trend direction, the indicator also uses gray candles to highlight potential early trend shifts. For example, if the Gaussian Filter detects a downtrend but the price moves above the filter line, the candles turn gray, signaling a possible reversal or shift in momentum. Similarly, in an uptrend, if the price moves below the Gaussian Filter line, the candles turn gray as an early indication of potential bearish momentum. This visual cue helps traders stay alert to possible faster shifts in market direction, allowing for quicker decision-making.
🔵 CUSTOMIZATION
Length and Sigma for Gaussian Filter:
Adjust the length and sigma parameters to control how the Gaussian Filter smooths the price data. A longer length provides smoother trend lines, while adjusting sigma can fine-tune the level of smoothing applied.
Levels Display and Candle Coloring:
You can toggle the visibility of entry and exit levels as well as enable or disable the dynamic coloring of candlesticks based on the trend direction. The additional gray color setting provides an extra layer of information, allowing you to spot potential trend reversals early.
🔵 CONCLUSION
The Gaussian Filter indicator is a powerful tool for identifying and following market trends. By providing clear entry and exit signals, along with real-time tracking of price changes, it gives traders a structured way to manage trades and monitor performance. The color-coded candles, including gray to highlight possible trend shifts, add another dimension to visualizing market dynamics. The added flexibility of customizing colors and trend levels makes it a versatile indicator suitable for both trend-following and reversal strategies.
Indicator
Gaussian Kernel Smoothing EMAGaussian Kernel Smoothing EMA
The Gaussian Kernel Smoothing EMA integrates the exponential moving average with kernel smoothing techniques to refine the trend tool. Kernel smoothing is a non-parametric technique used to estimate a smooth curve from a set of data points. It is particularly useful in reducing noise and capturing the underlying structure of data. The smoothed value at each point is calculated as a weighted average of neighboring points, with the weights determined by a kernel function.
The Gaussian kernel is a popular choice in kernel smoothing due to its properties of being smooth, symmetric, and having infinite support. This function gives higher weights to data points closer to the target point and lower weights to those further away, resulting in a smooth and continuous estimate. Since price isn't normally distributed a logarithmic transformation is performed to remove most of its skewness to be able to fit the Gaussian kernel.
This indicator also has a bandwidth, which in kernel smoothing controls the width of the window over which the smoothing is performed. It determines how much influence nearby data points have on the smoothed value. In this indicator, the bandwidth is dynamically adjusted based on the standard deviation of the log-transformed prices so that the smoothing adapts to the underlying variability and potential volatility.
Bandwidth Factor: The bandwidth factor in this indicator is used to adjust the degree of the smoothing applied to the MA. In kernel smoothing, Bandwidth controls the width of the window over which the smoothing is applied. It determines how many data points around a central point are considered when calculating a smooth value. A smaller bandwidth results in less smoothing, while a larger bandwidth smooths out more noise, leading to a broader, more general trend. Indicator
Indicator
Normalised Gaussian MACD Heikin Ashi [AlgoAlpha]🌟🚀Introducing the Normalised Gaussian MACD Heikin Ashi by AlgoAlpha !
Elevate your trading game with this multipurpose indicator, crafted to pinpoint trend continuation opportunities while highlighting volatility and oversold/overbought conditions. Whether you're embarking on your trading journey or you're a seasoned market navigator, this tool is equipped with intuitive visual cues to amplify your decision-making prowess and enrich your market analysis toolkit. Let's dive into the key features, utilization strategies, and the innovative logic underpinning this indispensable trading asset.
Key Features:
🔧 Enhanced Customization : Tailor your experience with adjustable parameters including Fast Length, Slow Length, Source, Macd Smoothing Length, Signal Smoothing, and more.
🖌️ Visual Enhancements : Opt for Heikin Ashi Candles display and choose to show or hide MACD and Signal lines for a clutter-free chart.
🌈 Color Customization : Personalize your chart with selectable primary and secondary up and down colors to suit your visual preferences.
🔔 Advanced Alert System : Stay ahead with comprehensive alert conditions for market movements, including trend reversals, bullish and bearish swings.
How to Use:
Configure the Inputs : Start by customizing the indicator’s settings to match your trading style. Adjust the length parameters, source selection, and smoothing lengths to fine-tune the indicator’s sensitivity.
Interpret the Candles and Colors : Keep an eye on the Heikin Ashi Candles (if enabled) and the color shifts within the MACD Line Candles and Histogram. These visual cues are pivotal for identifying market trends.
Analyze with Flexibility : Make use of the option to display or hide the MACD and Signal lines based on your analysis requirements. This can help in focusing on the essential information without overcrowding your chart.
Utilize Alerts for Timely Decisions : Leverage the extensive alert system to get notified about potential market movements. These alerts can help you capture the right moment to enter or exit trades.
Basic Logic:
The Normalised Gaussian MACD Heikin Ashi by AlgoAlpha integrates Gaussian filters to elevate the traditional MACD indicator's efficiency, providing a more detailed analysis of market trends and momentum. This sophisticated approach reduces noise and enhances signal speed, which is crucial for identifying momentum trading opportunities.
Gaussian Filter Implementation : The core innovation lies in applying a Gaussian filter to the input price series. This mathematical technique smooths the price data, significantly reducing market noise and making trend signals clearer and more reliable. The Gaussian filter calculates a smoothed value for each data point by weighting nearby data points, with the weights decreasing as the distance from the current data point increases.
Refined MACD Calculation : The Gaussian MACD is derived from the difference between two Gaussian smoothed moving averages (fast and slow), which are then normalized to account for market volatility. This normalization process involves dividing the difference by a measure of market range (such as the high minus the low), and multiplying by a factor (usually 100) to scale the indicator appropriately.
🔑 This script is a versatile tool designed to aid in the identification of momentum and reversals, helping traders to make informed decisions based on technical analysis. Its customization options allow for a tailored analysis experience, fitting the unique needs and strategies of each trader. Indicator
RSI in Candlestick MODEDescription:
The "RSI Bar" indicator is a versatile tool designed to enhance your technical analysis on trading charts. This Pine Script™ code calculates the Relative Strength Index (RSI) for open, close, high, and low prices, and represents the results as bars on the chart. The bars are color-coded based on whether the closing RSI is higher or lower than the opening RSI.
Additionally, the indicator incorporates advanced features such as Pareto analysis and Gaussian smoothing. The Pareto analysis helps identify significant lows and highs in the RSI, providing insights into potential trend reversals. The Gaussian smoothing further refines the analysis, contributing to a more accurate representation of the average RSI trend.
Key Features:
RSI calculation for open, close, high, and low prices.
Color-coded bars for easy visualization of RSI trends.
Pareto analysis to highlight key RSI levels indicating potential reversals.
Gaussian smoothing for improved trend analysis and visualization.
Heiken-Ashi
Indicator
Kernel Regression RibbonKernel Regression Ribbon is a flexible, visually pleasing trend identification tool. Plotting 8 different kernel regressions of different types and parameters allows the user to see where levels of support and resistance are being tested, retested and broken.
What’s Kernel Regression?
A statistical method for estimating the best fitting curve for a dataset, in this case, a time/price chart.
How’s Kernel Regression different from a Moving Average?
A Moving Average is basically a simple form of Kernel Regression, in that it uses a fixed (Retangular) Kernel function. In an MA, all data points are weighted equally over its length. However, a Kernel function reacts more to data points that are closer to the current point. This means it will adapt more quickly to changes in data than an MA. Due to this adaptability, Kernel functions often form part of Machine Learning.
Using this indicator:
Explore the default Regular mode first to get a feel for the inputs, which are more numerous than for MAs. Try out different settings, filters and intervals to get the best out of each kernel. Not all parameters are available for each KR. There are info tips to explain this in the menu, but I’ve also included handy, optional labels on the chart for each KR as a more accessible guide.
Once you know your way round the Regular mode, check out the Presets and start changing the parameters of each kernel to your liking in the “User KR1, KR2, … “ mode. Each kernel type has its strong and weak points. Blending different kernels is where this indicator comes into its own. Give your charts a funky shine!
This indicator does NOT repaint.
This script acknowledges, and hopefully showcases, the great work of @veryfid Kernel Regression Toolkit.
Indicator
Strategy
ALMA Smoothed Gaussian Moving AverageThis indicator is an altered version of the Gaussian Moving Average (GMA) (Credit to author: © LeafAlgo ). The GMA applies weights to the prices, giving more importance to the values closer to the current period and gradually diminishing the significance of older prices. The ALMA Smoothed Gaussian Moving Average (ASGMA) applies an ALMA smoothing to its price data to minimize lag and provide a more accurate representation of the underlying trend by dynamically adapting to changing market conditions. The Arnaud Legoux Moving Average (ALMA) is a specialized smoothing technique that adjusts the weights of the moving average based on market volatility. Its calculation uses Wavelet Transform techniques which enables this type of smoothing to capture both high-frequency and low-frequency components of a signal or data. The rationale for this mashup between ALMA and Gaussian filtering is to smooth the moving average line over the smoothed price data and produce stronger trend signals.
ASGMA serves as a trend-following indicator, identifying both bullish and bearish trends. It provides buy and sell signals indicated by "B" and "S" labels plotted alongside the price data. Additionally, the ASGMA's Exponential Moving Average (EMA) line alternates between green and red, indicating bullish and bearish momentum, respectively.
The ASGMA also incorporates two popular momentum indicators, the Relative Strength Index (RSI) and the Chande Momentum Oscillator (CMO). The inclusion of these indicators aims to enhance trend identification and reversal signals. For a strong buy signal, all three indicators (RSI, CMO, and ASGMA) must indicate bullish conditions, resulting in a vertical green line. Conversely, a vertical red line is plotted when all indicators indicate bearish conditions, representing a strong sell signal.
The ASGMA, with its unique combination of smoothing techniques and indicator amalgamation, provides traders and investors with powerful analytical tools. It can be applied in trend-following strategies using the regular buy and sell signals generated by labels and the EMA line. Alternatively, the vertical lines offer stronger buy and sell signals. These features aid in identifying potential entry and exit points, thereby enhancing trading decisions and market analysis. However, it is important to remember that the future performance of any trading strategy is fundamentally unknowable, and past results do not guarantee future performance. Indicator
Adaptive Gaussian Moving AverageThe Adaptive Gaussian Moving Average (AGMA) is a versatile technical indicator that combines the concept of a Gaussian Moving Average (GMA) with adaptive parameters based on market volatility. The indicator aims to provide a smoothed trend line that dynamically adjusts to different market conditions, offering a more responsive analysis of price movements.
Calculation:
The AGMA is calculated by applying a weighted moving average based on a Gaussian distribution. The length parameter determines the number of bars considered for the calculation. The adaptive parameter enables or disables the adaptive feature. When adaptive is true, the sigma value, which represents the standard deviation, is dynamically calculated using the standard deviation of the closing prices over the volatilityPeriod. When adaptive is false, a user-defined fixed value for sigma can be input.
Interpretation:
The AGMA generates a smoothed line that follows the trend of the price action. When the AGMA line is rising, it suggests an uptrend, while a declining line indicates a downtrend. The adaptive feature allows the indicator to adjust its sensitivity based on market volatility, making it more responsive during periods of high volatility and less sensitive during low volatility conditions.
Potential Uses in Strategies:
-- Trend Identification : Traders can use the AGMA to identify the direction of the prevailing trend. Buying opportunities may arise when the price is above the AGMA line during an uptrend, while selling opportunities may be considered when the price is below the AGMA line during a downtrend.
-- Trend Confirmation : The AGMA can be used in conjunction with other technical indicators or trend-following strategies to confirm the strength and sustainability of a trend. A strong and steady AGMA line can provide additional confidence in the prevailing trend.
-- Volatility-Based Strategies : Traders can utilize the adaptive feature of the AGMA to build volatility-based strategies. By adjusting the sigma value based on market volatility, the indicator can dynamically adapt to changing market conditions, potentially improving the accuracy of entry and exit signals.
Limitations:
-- Lagging Indicator : Like other moving averages, the AGMA is a lagging indicator that relies on historical price data. It may not provide timely signals during rapidly changing market conditions or sharp price reversals.
-- Whipsaw in Sideways Markets : During periods of low volatility or when the market is moving sideways, the AGMA may generate false signals or exhibit frequent crossovers around the price, leading to whipsaw trades.
-- Subjectivity of Parameters : The choice of length, adaptive parameters, and volatility period requires careful consideration and customization based on individual preferences and trading strategies. Traders need to adjust these parameters to suit the specific market and timeframe they are trading.
Overall, the Adaptive Gaussian Moving Average can be a valuable tool in trend identification and confirmation, especially when combined with other technical analysis techniques. However, traders should exercise caution, conduct thorough analysis, and consider the indicator's limitations when incorporating it into their trading strategies. Indicator
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