EquiVolume [LuxAlgo]EquiVolume is a charting method that aims to incorporate volume information to a candlestick chart. Volume is highlighted through the candle body width, with wider candles suggesting more significant volume.
Our script shows an EquiVolume chart for the visible chart range. Additionally regular volume can be plotted as a column plot with the column's width controlled by volume.
🔶 SETTINGS
🔹 Options
Chart: Shows candles with volume adjusted width.
Volume: Shows volume with volume adjusted width.
🔹 Intrabar Analysis
Enable/disable: When LTF is enabled, the script will calculate the % volume/candles in the same direction than current timeframe.
You can choose a LTF between 1 and 240 minutes.
Type %:
- Volume: sum of volume of all LTF candles, which are in the same direction.
- #bars: sum of all LTF candles, which are in the same direction.
🔹 Width Boxes (bars)
Minimum width: sets the minimum width of a box (candle/volume)
Maximum width: sets the maximum width of a box (candle/volume)
🔶 USAGE
This charting method makes it easier to spot large volume candles, against comparing candles to volume.
Another example:
Additionally, users can make the script perform an intrabar analysis on the chart candles, allowing to highlight bullish/bearish activity within a candle. The script can estimate bullish/bearish trading activity within a candle or simply use intrabar candle signs.
Example
- 15-minute candle is green
- 10 1-minute candles (LTF) IN that 15-minute candle are green -> 10/15 = 66,667%
-> The current 15-minute candle will be 66,667% filled with green color.
Note that the script will draw everything from last visible bar at the right to left, as such you can scroll backwards, and the script will show you the data of the visible chart.
Scrolling back will return the following result:
🔶 REMARKS
When the LTF is too far apart from current timeframe, you should get an error. To prevent this, the LTF will automatically rise, giving no error.
When this happens, the adjusted LTF will be displayed. Do note, due to a maximum available LTF data, sometimes boxes won't always be visible (since there is no LTF data anymore)
To solve this, just elevate your LTF:
When the set LTF is higher than current TF, you would normally get an error as well.
This script will automatically adjust the LTF to current TF, together with a visible warning (no error though).
Due to the inability to draw a line in the space between bars, sometimes a wick won't be placed exactly in the middle.
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Uptrend Downtrend Loopback Candle Identification LibThis library is for identifying uptrends and downtrends using a loopback candle analysis method. Which contains two functions:
uptrendLoopbackCandleIdentification() and downtrendLoopbackCandleIdentification() . These functions check if the current candle is part of an uptrend or downtrend, respectively, based on the specified lookback period.
The uptrendLoopbackCandleIdentification() takes two arguments: index , which is the index of the current bar, and lookbackPeriod , which is the number of previous candles to check for an uptrend. The function returns false if the index is less than the lookback period. Otherwise, it initializes a boolean variable isHigherHigh as true and loops through the previous candles. If any of the previous candles have a higher high than the current candle, isHigherHigh is set to false , and the loop breaks. Finally, the function returns the value of isHigherHigh .
The downtrendLoopbackCandleIdentification() takes the same arguments and returns false if the index is less than the lookback period. The function initializes a boolean variable isHigherLow as true and loops through the previous candles. If any of the previous candles have a higher low than the current candle, isHigherLow is set to false , and the loop breaks. The function returns the value of isHigherLow . Library
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Real Price Line + Dots (for Heikin Ashi)Real Price Line + Dots (for Heikin Ashi)
This indicator is designed for use on Heikin Ashi charts. Its purpose is to enable traders to benefit from price averaging and smoothing effects of Heikin Ashi candles whilst also enabling them to see the current real price line, and optionally, real price close dots on the Heikin Ashi candlesticks.
Features include:
- Optional real price line
- Optional real price close dots
- Customisable colours
- Customisable line style
- Customisable line width
What are Heikin Ashi candles?
Heikin Ashi means 'average bar' in Japanese, Heikin Ashi charts do not show real price as standard, due to the way the Open, High, Low and Close values are calculated using averages, This is done in order to create a smoother appearance and reduce the market 'noise'.
You can read more about Heikin Ashi candlesticks here.
NOTE:
- If real price dots appear behind the candles, you may need to select the triple dot menu on the indicator then select "Visual order" > "Bring to front" , so that the dots are shown above the candles.
- When using this indicator on a Heikin Ashi chart, the standard Tradingview price line will not show accurate real price. Therefore when using the price line in this indicator, the standard price line should be disabled within the Tradingview 'Chart settings' dialog > 'Symbol' tab > uncheck 'Last', under the 'Price line' section. Indicator
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Williams Vix Fix OHLC candles plot indicator (Tartigradia)OHLC candles plot of the Williams VixFix indicator, which allows to draw trend lines.
Williams VixFix is a realized volatility indicator developed by Larry Williams, and can help in finding market bottoms.
Indeed, as Williams describe in his paper, markets tend to find the lowest prices during times of highest volatility, which usually accompany times of highest fear. The VixFix is calculated as how much the current low price statistically deviates from the maximum within a given look-back period.
The Williams VixFix indicator is usually presented as a curve or histogram. The novelty of this indicator is to present the data as a OHLC candles plot: whereas the original Williams VixFix calculation only involves the close value, we here use the open, high and low values as well. This led to some mathematical challenges because some of these calculations led to absurd values, so workarounds had to be found, but in the end I think the result was worth it, it reproduces the VIX chart quite well.
A great additional value of the OHLC chart is that it shows not just the close value, but all the values during the session: open, high and low in addition to close. This allows to draw trend lines and can provide additional information on momentum and sentiment. In addition, other indicators can be used on it, as if it was a price chart, such as RSI indicators (see RSI+ (alt) indicator for example).
For more information on the Vix Fix, which is a strategy published under public domain:
The VIX Fix, Larry Williams, Active Trader magazine, December 2007, web.archive.org
Fixing the VIX: An Indicator to Beat Fear, Amber Hestla-Barnhart, Journal of Technical Analysis, March 13, 2015, ssrn.com
Replicating the CBOE VIX using a synthetic volatility index trading algorithm, Dayne Cary and Gary van Vuuren, Cogent Economics & Finance, Volume 7, 2019, Issue 1, doi.org
This indicator includes only the Williams VixFix as an OHLC candles or bars plot, and price / vixfix candles plot, as well as the typical vixfix histogram. Indeed, it is much more practical for unbounded range indicators to be plotted in their own separate panel, hence why this indicator is released separately, so that it can work and be scaled adequately out of the box.
Note that the there are however no bottom buy signals. For a more complete indicator, which also includes the OHLC candles plots present here, but also bottom signals and Inverse VixFix (top signals), see:
Set Index symbol to SPX, and index_current = false, and timeframe Weekly, to reproduce the original VIX as close as possible by the VIXFIX (use the Add Symbol option, because you want to plot CBOE:VIX on the same timeframe as the current chart, which may include extended session / weekends). With the Weekly timeframe, off days / extended session days should not change much, but with lower timeframes this is important, because nights and weekends can change how the graph appears and seemingly make them different because of timing misalignment when in reality they are not when properly aligned.
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CFB-Adaptive Trend Cipher Candles [Loxx]CFB-Adaptive Trend Cipher Candles is a candle coloring indicator that shows both trend and trend exhaustion using Composite Fractal Behavior price trend analysis. To do this, we first calculate the dynamic period outputs from the CFB algorithm and then we injection those period inputs into a correlation function that correlates price input price to the candle index. The closer the correlation is to 1, the lighter the green color until the color turns yellow, sometimes, indicating upward price exhaustion. The closer the correlation is to -1, the lighter the red color until it reaches Fuchsia color indicating downward price exhaustion. Green means uptrend, red means downtrend, yellow means reversal from uptrend to downtrend, fuchsia means reversal from downtrend to uptrend.
What is Composite Fractal Behavior ( CFB )?
All around you mechanisms adjust themselves to their environment. From simple thermostats that react to air temperature to computer chips in modern cars that respond to changes in engine temperature, r.p.m.'s, torque, and throttle position. It was only a matter of time before fast desktop computers applied the mathematics of self-adjustment to systems that trade the financial markets.
Unlike basic systems with fixed formulas, an adaptive system adjusts its own equations. For example, start with a basic channel breakout system that uses the highest closing price of the last N bars as a threshold for detecting breakouts on the up side. An adaptive and improved version of this system would adjust N according to market conditions, such as momentum, price volatility or acceleration.
Since many systems are based directly or indirectly on cycles, another useful measure of market condition is the periodic length of a price chart's dominant cycle, (DC), that cycle with the greatest influence on price action.
The utility of this new DC measure was noted by author Murray Ruggiero in the January '96 issue of Futures Magazine. In it. Mr. Ruggiero used it to adaptive adjust the value of N in a channel breakout system. He then simulated trading 15 years of D-Mark futures in order to compare its performance to a similar system that had a fixed optimal value of N. The adaptive version produced 20% more profit!
This DC index utilized the popular MESA algorithm (a formulation by John Ehlers adapted from Burg's maximum entropy algorithm, MEM). Unfortunately, the DC approach is problematic when the market has no real dominant cycle momentum, because the mathematics will produce a value whether or not one actually exists! Therefore, we developed a proprietary indicator that does not presuppose the presence of market cycles. It's called CFB (Composite Fractal Behavior) and it works well whether or not the market is cyclic.
CFB examines price action for a particular fractal pattern, categorizes them by size, and then outputs a composite fractal size index. This index is smooth, timely and accurate
Essentially, CFB reveals the length of the market's trending action time frame. Long trending activity produces a large CFB index and short choppy action produces a small index value. Investors have found many applications for CFB which involve scaling other existing technical indicators adaptively, on a bar-to-bar basis.
Included
Loxx's Expanded Source Types
Related indicators:
Adaptive Trend Cipher loxx]
Dynamic Zones Polychromatic Momentum Candles
RSI Precision Trend Candles
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T3 Velocity Candles [Loxx]T3 Velocity Candles is a candle coloring overlay that calculates its gradient coloring using T3 velocity.
What is the T3 moving average?
Better Moving Averages Tim Tillson
November 1, 1998
Tim Tillson is a software project manager at Hewlett-Packard, with degrees in Mathematics and Computer Science. He has privately traded options and equities for 15 years.
Introduction
"Digital filtering includes the process of smoothing, predicting, differentiating, integrating, separation of signals, and removal of noise from a signal. Thus many people who do such things are actually using digital filters without realizing that they are; being unacquainted with the theory, they neither understand what they have done nor the possibilities of what they might have done."
This quote from R. W. Hamming applies to the vast majority of indicators in technical analysis . Moving averages, be they simple, weighted, or exponential, are lowpass filters; low frequency components in the signal pass through with little attenuation, while high frequencies are severely reduced.
"Oscillator" type indicators (such as MACD , Momentum, Relative Strength Index ) are another type of digital filter called a differentiator.
Tushar Chande has observed that many popular oscillators are highly correlated, which is sensible because they are trying to measure the rate of change of the underlying time series, i.e., are trying to be the first and second derivatives we all learned about in Calculus.
We use moving averages (lowpass filters) in technical analysis to remove the random noise from a time series, to discern the underlying trend or to determine prices at which we will take action. A perfect moving average would have two attributes:
It would be smooth, not sensitive to random noise in the underlying time series. Another way of saying this is that its derivative would not spuriously alternate between positive and negative values.
It would not lag behind the time series it is computed from. Lag, of course, produces late buy or sell signals that kill profits.
The only way one can compute a perfect moving average is to have knowledge of the future, and if we had that, we would buy one lottery ticket a week rather than trade!
Having said this, we can still improve on the conventional simple, weighted, or exponential moving averages. Here's how:
Two Interesting Moving Averages
We will examine two benchmark moving averages based on Linear Regression analysis.
In both cases, a Linear Regression line of length n is fitted to price data.
I call the first moving average ILRS, which stands for Integral of Linear Regression Slope. One simply integrates the slope of a linear regression line as it is successively fitted in a moving window of length n across the data, with the constant of integration being a simple moving average of the first n points. Put another way, the derivative of ILRS is the linear regression slope. Note that ILRS is not the same as a SMA ( simple moving average ) of length n, which is actually the midpoint of the linear regression line as it moves across the data.
We can measure the lag of moving averages with respect to a linear trend by computing how they behave when the input is a line with unit slope. Both SMA (n) and ILRS(n) have lag of n/2, but ILRS is much smoother than SMA .
Our second benchmark moving average is well known, called EPMA or End Point Moving Average. It is the endpoint of the linear regression line of length n as it is fitted across the data. EPMA hugs the data more closely than a simple or exponential moving average of the same length. The price we pay for this is that it is much noisier (less smooth) than ILRS, and it also has the annoying property that it overshoots the data when linear trends are present.
However, EPMA has a lag of 0 with respect to linear input! This makes sense because a linear regression line will fit linear input perfectly, and the endpoint of the LR line will be on the input line.
These two moving averages frame the tradeoffs that we are facing. On one extreme we have ILRS, which is very smooth and has considerable phase lag. EPMA has 0 phase lag, but is too noisy and overshoots. We would like to construct a better moving average which is as smooth as ILRS, but runs closer to where EPMA lies, without the overshoot.
A easy way to attempt this is to split the difference, i.e. use (ILRS(n)+EPMA(n))/2. This will give us a moving average (call it IE /2) which runs in between the two, has phase lag of n/4 but still inherits considerable noise from EPMA. IE /2 is inspirational, however. Can we build something that is comparable, but smoother? Figure 1 shows ILRS, EPMA, and IE /2.
Filter Techniques
Any thoughtful student of filter theory (or resolute experimenter) will have noticed that you can improve the smoothness of a filter by running it through itself multiple times, at the cost of increasing phase lag.
There is a complementary technique (called twicing by J.W. Tukey) which can be used to improve phase lag. If L stands for the operation of running data through a low pass filter, then twicing can be described by:
L' = L(time series) + L(time series - L(time series))
That is, we add a moving average of the difference between the input and the moving average to the moving average. This is algebraically equivalent to:
2L-L(L)
This is the Double Exponential Moving Average or DEMA , popularized by Patrick Mulloy in TASAC (January/February 1994).
In our taxonomy, DEMA has some phase lag (although it exponentially approaches 0) and is somewhat noisy, comparable to IE /2 indicator.
We will use these two techniques to construct our better moving average, after we explore the first one a little more closely.
Fixing Overshoot
An n-day EMA has smoothing constant alpha=2/(n+1) and a lag of (n-1)/2.
Thus EMA (3) has lag 1, and EMA (11) has lag 5. Figure 2 shows that, if I am willing to incur 5 days of lag, I get a smoother moving average if I run EMA (3) through itself 5 times than if I just take EMA (11) once.
This suggests that if EPMA and DEMA have 0 or low lag, why not run fast versions (eg DEMA (3)) through themselves many times to achieve a smooth result? The problem is that multiple runs though these filters increase their tendency to overshoot the data, giving an unusable result. This is because the amplitude response of DEMA and EPMA is greater than 1 at certain frequencies, giving a gain of much greater than 1 at these frequencies when run though themselves multiple times. Figure 3 shows DEMA (7) and EPMA(7) run through themselves 3 times. DEMA^3 has serious overshoot, and EPMA^3 is terrible.
The solution to the overshoot problem is to recall what we are doing with twicing:
DEMA (n) = EMA (n) + EMA (time series - EMA (n))
The second term is adding, in effect, a smooth version of the derivative to the EMA to achieve DEMA . The derivative term determines how hot the moving average's response to linear trends will be. We need to simply turn down the volume to achieve our basic building block:
EMA (n) + EMA (time series - EMA (n))*.7;
This is algebraically the same as:
EMA (n)*1.7-EMA( EMA (n))*.7;
I have chosen .7 as my volume factor, but the general formula (which I call "Generalized Dema") is:
GD (n,v) = EMA (n)*(1+v)-EMA( EMA (n))*v,
Where v ranges between 0 and 1. When v=0, GD is just an EMA , and when v=1, GD is DEMA . In between, GD is a cooler DEMA . By using a value for v less than 1 (I like .7), we cure the multiple DEMA overshoot problem, at the cost of accepting some additional phase delay. Now we can run GD through itself multiple times to define a new, smoother moving average T3 that does not overshoot the data:
T3(n) = GD ( GD ( GD (n)))
In filter theory parlance, T3 is a six-pole non-linear Kalman filter. Kalman filters are ones which use the error (in this case (time series - EMA (n)) to correct themselves. In Technical Analysis , these are called Adaptive Moving Averages; they track the time series more aggressively when it is making large moves. Indicator
