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Iterative Moving Average

 

            Iterative Moving Average – IMA.  IMA is obtained by correcting the usual  MA.  The correction consists in addition  to MA averaged difference between the time series (X) and its MA, i.e.  IMA(X)=MA(X) + MA (Х-MA(X)). Correction is done in several iterations (and, exactly, 2 iterations in this indicator) and with a change in the averaging period.

              As a result, the time-series points begin to cluster around (on all sides) of the getting   IMA and with a smaller delay than around the usual MA. Therefore, IMA is a more effective tool for manual and automatic trading than all types of conventional MA  (SMA, EMA, SSMA, LMA).   Formulas for IMA are given in the last screenshot.         

 

 

Indicator Settings.

 

  • Price type. Values: Close price, Open price, High price, Low price, Median price ((high + low)/2  - default), Typical price ((high + low + close)/3), Weighted price ((high + low + 2*close)/4).
  • The averaging method. Values: Simple, Exponential (default), Smoothed, Linear weighted.
  • The main averaging period. Integer. Default is 14.
  • Coefficient of division of the averaging period. -  The coefficient determines the period of the next iteration. Values: any positive real number, which is not zero. Default is 1.62 (Golden Ratio).
  • Dimensions of markers  - Marker sizes to display forecast points. Values: any positive integer   from 0 to 5 (1 default).  

 

Reviews 2
jmhuang
2777
jmhuang 2020.11.13 13:43 
 

very good moving average better than Jurik, McGinley, TEMA etc and more responsive. Also beautifully and uniquely designed - no regrets getting this indicator

Alec Markarian
206
Alec Markarian 2019.03.04 22:33 
 

Amazing work by Aleksey. There is a lot of rubbish on this market that's packaged and sold to you nicely, but I feel as though I have come across a hidden gem discovering Aleksey's work. I also find his blog site very interesting, as he sort of covers a lot of the theory that goes into some of these indicator's he has engineered. This guy is really onto something here.

There is lots of great moving average variations that have been formulated over the years, but this is definitely something unique, and if used correctly, and paired with other MA's, it could really be a stepping stone in building your system that has an edge over the majority.

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TPA True Price Action indicator reveals the true price action of the market makers through 100% non-repainting signals (except early signals mode) strictly at the close of a candle! TPA shows entries and re-entries, every time the bulls are definitely stronger than the bears and vice versa. Not to confuse with red/green candles. The shift of power gets confirmed at the earliest stage and is ONE exit strategy of several. There are available now two free parts of the TPA User Guide for our cust
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Advanced Currency IMPULSE with ALERT
Advanced Currency IMPULSE with ALERT
Bernhard Schweigert
CURRENTLY 39% OFF !!   Best Solution for any Newbie or Expert Trader! This indicator is a unique, high quality and affordable trading tool because we have incorporated a number of proprietary features and a secret formula. With only ONE chart it gives Alerts for all 28 currency pairs . Imagine how your trading will improve because you are able to pinpoint the exact trigger point of a new trend or scalping opportunity! Built on new underlying algorithms it makes it even easier to identify an
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PipFinite Exit EDGE
PipFinite Exit EDGE
Karlo Wilson Vendiola
Did You Have A Profitable Trade But Suddenly Reversed? In a solid strategy, exiting a trade is equally important as entering. Exit EDGE helps maximize your current trade profit and avoid turning winning trades to losers. Never Miss An Exit Signal Again Monitor all pairs and timeframes in just 1 chart www.mql5.com/en/blogs/post/726558 How To Trade You can close your open trades as soon as you receive a signal Close your Buy orders if you receive an Exit Buy Signal. Close your Sell orde
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Naked Forex Kangaroo Tail
Naked Forex Kangaroo Tail
Renaud Candel
Kangaroo Tail Indicator is a pattern recognition indicator for Forex, Stocks, Indices, Commodities, Metals, Cryptos. The Kangaroo Tail is a simple and very effective pattern to trade. The strategy that comes with the Kangaroo Tail is purely based on price action. Inputs of the indicator are : Distance: distance in pixel relative to top or bottom of candle to display the arrow symbol MaxBars: number of bars back used to calculate the indicator TradeDirection (Long/Short/LongAndShort): filter sign
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TickUnit Scalper Currency Strength28 PRO
TickUnit Scalper Currency Strength28 PRO
Bernhard Schweigert
CURRENTLY 26% OFF !!   This indicator is a super combination of both our main indicators ( Advanced Currency Strength 28 and Advanced Currency IMPULSE with ALERT ). It shows Currency Strength values for TICK-UNITS and alert signals for 28 Forex pairs. 11 different Tick-Units can be used. Those are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, and 30 Seconds. The Tick-Unit bar in the sub-window will be shown and shifted to the left when there is at least 1 tick within the second’s timer.  With only ONE
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Profit MACD
Profit MACD
Aleksey Ivanov
I present an indicator for professionals. ProfitMACD is very similar to classic MACD in appearance and its functions . However, ProfitMACD is based on completely new algorithms (for example, it has only one averaging period) and is more robust, especially on small timeframes, since it filters random price walks. The classic MACD indicator (Moving Average Convergence / Divergence) is a very good indicator following the trend, based on the ratio between two moving averages, namely the EM
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Identify Trend
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The Identify Trend indicator, using fairly simple but robust filtering methods (based on the moving median – algorithm XM )  and more complex algorithms (XC, XF, XS, four types of non-lagging moving averages   SMAWL, EMAWL,  SSMAWL, LWMAWL ) developed by the author , allows determined (1) the beginning of a true trend movement very precisely and, most importantly, with a small delay, and (2) identifying the flat. Such an indicator can be used for trading scalper strategies as well
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Cunning crocodile FREE
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Aleksey Ivanov
Structure of the indicator.               The Cunning crocodile   FREE  indicator consists of three moving averages (applied to the price   Median price   = (high + low)/2 ) :   1) the usual MA ( SMA , EMA , SMMA ,   LWMA )  or the mean <X> of the process X and her two generalizations 2) <XF> = <X / <X >> * <X> and 3) <XS> = <X * <X >> / <X> with the same averaging period. All three curves intersect at common points that (such an intersection in which the cunning crocodile, unlike the usual one,
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Alligator Analysis
Aleksey Ivanov
Indicator description.            The “ Alligator Analysis ” ( AA ) indicator allows you to build various (by averaging types and by scales) “ Alligators ” and their combinations, i.e. allows you to analyze the state of the market based on the correlation of this state with a whole range of different " Alligators ".  The classic " Alligator " by Bill Williams is based on moving averages and Fibonacci numbers, which makes it one of the best indicators now. The classic " Alligator "   is based on
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Channel Builder
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Aleksey Ivanov
The Channel Builder (CB) or Ivanov Bands indicator is a broad generalization of the Bollinger Bands indicator. First, in CB, the mean line <X> is calculated using various averaging algorithms. Secondly, the mean deviations calculated by Kolmogorov averaging are plotted on both sides of the middle line <X>.                The middle line <X>, besides the standard SMA, EMA, SMMA and LWMA averaging algorithms, can be Median = (Max + Min) / 2 sliding median (which is the default). In
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Probability distribution FREE
Probability distribution FREE
Aleksey Ivanov
The indicator serves to : determine the probability density distribution of prices. This allows you to detail the structure of the channel, the position of its boundaries and statistically correctly predict the probability of price being in all segments of its fluctuations ; determining the moment of the channel change, for which a non-lagging moving average  is being built, the algorithm of which was developed by the author .             Probability distribution FREE is a freely distr
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Probabilities distribution of price
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Aleksey Ivanov
PDP indicator is used for: defining price probability distributions. This allows for a detailed representation of the channel and its borders and forecast the probability of a price appearing at each segment of its fluctuations; defining the channel change moment. Operation principles and features PDP analyzes a quote history on lower timeframes and calculates a price probability distribution on higher ones. Forecast algorithms allow the indicator to calculate probability distributions and m
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Signal Bands
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Aleksey Ivanov
Signal Bands is a sensitive and convenient indicator, which performs deep statistical processing of information. It allows to see on one chart (1) the price trend, (2) the clear price channel and (3) latent signs of trend change. The indicator can be used on charts of any periods, but it is especially useful for scalping due to its high sensitivity to the current market state. The functions of the indicator : First, the Signal Bands indicator draws channels into which all price fluctuations ex
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Cunning crocodile
Cunning crocodile
Aleksey Ivanov
Structure of the indicator.               The Cunning crocodile indicator consists of three moving averages (applied to the price   Median price   = (high + low)/2 ) :   1) the usual MA ( SMA , EMA , SMMA ,   LWMA )  or the mean <X> of the process X and her two generalizations 2) <XF> = <X / <X >> * <X> and 3) <XS> = <X * <X >> / <X> with the same averaging period. All three curves intersect at common points that (such an intersection in which the cunning crocodile, unlike the usual one, "never
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Absolute Bands
Absolute Bands
Aleksey Ivanov
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Sensitive Signal
Sensitive Signal
Aleksey Ivanov
The Sensitive Signal ( SS ) indicator, using the filtering methods  (which includes cluster multicurrency analysis) developed by the author, allows, with a high degree of probability, to establish the beginning of the true (filtered from interference - random price walks) trend movement. It is clear that such an indicator is very effective for trading on the currency exchange , where signals are highly distorted by random noise. The filtration developed by the author is carried out
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Estimation moving average without lag
Estimation moving average without lag
Aleksey Ivanov
The principle of the indicator.               A simple moving average (SMA) with an averaging period (2n + 1) of bars is always obtained lagging by n bars. If SMA or other types of moving averages are the basis for making trading decisions, then their strong delay does not allow   to open positions in time and close positions, which leads to losses.                            The Estimation moving average without lag ( EMAWL ) indicator calculates the non-lagging moving average, which is calcula
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Strong Trend Flat Signal
Strong Trend Flat Signal
Aleksey Ivanov
The principle of the indicator.               The Strong Trend Flat Signal (STFS) indicator is the intersection of two, developed by the author, non-lagging moving averages with averaging periods 21 and 63.               A simple moving average (SMA) with an averaging period (2n + 1) of bars is always obtained lagging by n bars. If SMA or other types of moving averages are the basis for making trading decisions, then their strong delay does not allow  to open positions in time and close positi
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StatChannel
StatChannel
Aleksey Ivanov
The principle of the indicator.               The StatChannel ( SC ) indicator is a development of the Bollinger Bands indicator ( ВВ ).  BB is a moving average, on both sides of which two lines are drawn, separated from it by standard deviations std multiplied by the corresponding coefficient. At the same time, a moving average with an averaging period (2n + 1) bars is always obtained lagging behind n bars.  Sliding std is also lagging behind on n bars, also calculated by (2n + 1) points. Such
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StatPredict
StatPredict
Aleksey Ivanov
Introduction.             The indicator predicts the price in accordance with the prevailing trend  and its own small statistical price fluctuations around this trend. At the same time, in StatPredict , you need to set the time horizon of the forecasted events, which is set by the parameter settings of the “ Length of forecast in bars ” indicator and determined by the characteristic time scale of the current   trend, which is best measured by the ProfitMACD indicator or by the previous price co
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Asummetry
Asummetry
Aleksey Ivanov
The principle of the indicator.                             The Asummetry  indicator allows you to predict the beginning of a change in the direction of trends, long before their visual appearance on the price chart.               The author statistically revealed that before changing the direction of the trend, the probability distribution function of the price is made as asymmetric as possible. More precisely, the price movement in any direction always pulls sideways the function of its dis
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Identify Trend PRO
Identify Trend PRO
Aleksey Ivanov
The Identify Trend PRO indicator is an advanced version of the popular Identify Trend indicator.   The Identify Trend PRO indicator uses eight different averaging algorithms (developed by the author) that, together with cluster filtering supplementing them (cluster multicurrency analysis is used to more reliably identify flat sections), provides optimal filtering of false signals .                             The Identify Trend PRO indicator, as well as the Identify Trend , allows
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Probability distribution PRO
Probability distribution PRO
Aleksey Ivanov
Indicator is used for: defining price probability distributions. This allows for a detailed representation of the channel and its borders and forecast the probability of a price appearing at each segment of its fluctuations; defining the channel change moment.   Operation principles and features Indicator analyzes a quote history on lower timeframes and calculates a price probability distribution on higher ones. Forecast algorithms allow the indicator to calculate probability distributions and m
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Identify Market State
Identify Market State
Aleksey Ivanov
The Identify Market State   indicator allows you to set the beginning of a new trends and pullbacks on an existing trend. This indicator can be used both for trading on scalper strategies and for long-term trading strategies.               The indicator is based on the 14 periodic DeMarker   indicator and the 8 periodic simple moving average from this indicator. Statistical studies have shown that the sharp peaks of the DeMarker   indicator curve when they drop below its minimum li
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Signal Envelopes
Signal Envelopes
Aleksey Ivanov
The Signal Envelopes   indicator uses the robust filtering method based on: (1) the moving median Buff0 = <Median> = (Max {x} + Min {x}) / 2 and (2) the averaging algorithm developed by the author Buff1 = <(<Median> ) ^ (- 3)> * (<Median>) ^ 4  based on the moving median. The Signal Envelopes   indicator allows you to most accurately and with the minimum possible delay set the beginning of a new trend.  The Signal Envelopes indicator can be used both for trading according to scalpe
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Profit Trade
Profit Trade
Aleksey Ivanov
The principle of constructing indicator lines .               Profit Trade  indicator is very effective for trading. Profit Trade  is a deep development of the well-known Donchian channel  indicator. The upper (BlueViolet color) Dup and the lower (IndianRed) Ddn lines of the indicator are constructed in the same way as in the Donchian channel , based on the highest (high of High) and lowest (low of Low) prices for the previous n1 = 20 periods. The middle line (Gold) Dm is constructed in the sam
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Signal Channel
Signal Channel
Aleksey Ivanov
The principle of constructing indicator lines and their meaning .               The Signal Channel   indicator uses a robust filtering method based on two moving medians applicable to the High and Low prices, i.e. the lines <High> and <Low>, where <..> is the sign of linear averaging, which are shifted by certain values ​​in an uptrend and by opposite values ​​in a downtrend, which allows you to get a narrow channel, approximately outlining each bar. Sharp kinks of the lines of such a channel a
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Robust Filter
Robust Filter
Aleksey Ivanov
The Robust filter   indicator is based on the robust filtering algorithm developed by the author using the multi-period averaged moving median. The algorithm for this averaging is shown in the last screenshot.                The indicator calculates and shows: 1. The direction of the trend; 2. Entry and exit points of positions; 3. StopLoss   lines calculated from current price probability distributions and selected probability of closing an order by StopLoss before the trend revers
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Absolute price
Absolute price
Aleksey Ivanov
This   indicator is intended for professionals assessing fundamental market trends.  This indicator calculates the index of any instrument and analyzes it.              The index of the state currency shows the real purchasing power of this currency, and the dynamics of this index shows the dynamics of the economic state of the corresponding state. An analysis of the indices of both currencies included in a currency pair makes it much more reliable to identify the trend of this cur
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Multicurrency Trend Detector
Multicurrency Trend Detector
Aleksey Ivanov
The Multicurrency Trend Detector ( MTD ) indicator allows you to immediately and on one chart on a selected time interval (extending from a zero bar to a bar set in the settings by the value horizon) determine the presence, direction and strength of trends in all major currencies, as well as assess the reliability of these trends.               This is achieved by calculating indices (non-relative purchasing power) of eight major currencies, namely: AUD, CAD, CHF, EUR, GBP, JPY, NZ
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StatZigZag
StatZigZag
Aleksey Ivanov
The StatZigZag  indicator looks like a regular ZigZag , but is built on the basis of completely different algorithms. The StatZigZag  indicator is a broken line built from segments of regression lines of different lengths, the beginning of each of which comes from the end of the previous segment. Each regression segment is built until the variance or spread of price around it begins to exceed a certain critical value, after which the construction of this segment ends and the constr
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TrueChannel
TrueChannel
Aleksey Ivanov
The TrueChannel   indicator shows us the true price movement channels. This indicator resembles Donchian Channel   in its appearance, but is built on the basis of completely different principles and gives (in comparison with Donchian Channel , which is better just to use to assess volatility) more adequate trading signals.              As shown in the article , the price actually moves in channels parallel to the time axis and jumps abruptly from the previous channels to the subsequ
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Velocity of price change
Velocity of price change
Aleksey Ivanov
The Velocity of price change   ( VP ) indicator shows the average rate of price change at those characteristic time intervals where this rate was approximately constant. The robust algorithm used in VP   to smooth out the price from its random jumps, ensures the reliability of the indicator reading, which does not react to simple price volatility and its insignificant movements.             The indicator allows you to track trends and the moments of their reversals , during which t
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Prof MACD
Prof MACD
Aleksey Ivanov
I present an indicator for professionals. Prof MACD is very similar to classic MACD in appearance and its functions . However, Prof MACD is based on completely new algorithms (for example, it has only one averaging period) and is more robust, especially on small timeframes, since it filters random price walks. The classic MACD indicator (Moving Average Convergence / Divergence) is a very good indicator following the trend, based on the ratio between two moving averages, namely the EMA
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jmhuang
2777
jmhuang 2020.11.13 13:43 
 

very good moving average better than Jurik, McGinley, TEMA etc and more responsive. Also beautifully and uniquely designed - no regrets getting this indicator

Alec Markarian
206
Alec Markarian 2019.03.04 22:33 
 

Amazing work by Aleksey. There is a lot of rubbish on this market that's packaged and sold to you nicely, but I feel as though I have come across a hidden gem discovering Aleksey's work. I also find his blog site very interesting, as he sort of covers a lot of the theory that goes into some of these indicator's he has engineered. This guy is really onto something here.

There is lots of great moving average variations that have been formulated over the years, but this is definitely something unique, and if used correctly, and paired with other MA's, it could really be a stepping stone in building your system that has an edge over the majority.

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Version 2.0 2019.12.06
A trend direction identification function has been introduced.
Blue arrows - an uptrend.
The red arrows are a downtrend.