Articles on data analysis and statistics in MQL5

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Articles on mathematical models and laws of probability are interesting for many traders. Mathematics is the basis of technical indicators, and statistics is required to analyze trading results and develop strategies.

Read about the fuzzy logic, digital filters, market profile, Kohonen maps, neural gas and many other tools that can be used for trading.

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MetaTrader 5 Machine Learning Blueprint (Part 2): Labeling Financial Data for Machine Learning

MetaTrader 5 Machine Learning Blueprint (Part 2): Labeling Financial Data for Machine Learning

In this second installment of the MetaTrader 5 Machine Learning Blueprint series, you’ll discover why simple labels can lead your models astray—and how to apply advanced techniques like the Triple-Barrier and Trend-Scanning methods to define robust, risk-aware targets. Packed with practical Python examples that optimize these computationally intensive techniques, this hands-on guide shows you how to transform noisy market data into reliable labels that mirror real-world trading conditions.
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Price Action Analysis Toolkit Development (Part 1): Chart Projector

Price Action Analysis Toolkit Development (Part 1): Chart Projector

This project aims to leverage the MQL5 algorithm to develop a comprehensive set of analysis tools for MetaTrader 5. These tools—ranging from scripts and indicators to AI models and expert advisors—will automate the market analysis process. At times, this development will yield tools capable of performing advanced analyses with no human involvement and forecasting outcomes to appropriate platforms. No opportunity will ever be missed. Join me as we explore the process of building a robust market analysis custom tools' chest. We will begin by developing a simple MQL5 program that I have named, Chart Projector.
Prices in DoEasy library (part 63): Depth of Market and its abstract request class
Prices in DoEasy library (part 63): Depth of Market and its abstract request class

Prices in DoEasy library (part 63): Depth of Market and its abstract request class

In the article, I will start developing the functionality for working with the Depth of Market. I will also create the class of the Depth of Market abstract order object and its descendants.
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Neural networks made easy (Part 6): Experimenting with the neural network learning rate

Neural networks made easy (Part 6): Experimenting with the neural network learning rate

We have previously considered various types of neural networks along with their implementations. In all cases, the neural networks were trained using the gradient decent method, for which we need to choose a learning rate. In this article, I want to show the importance of a correctly selected rate and its impact on the neural network training, using examples.
Other classes in DoEasy library (Part 72): Tracking and recording chart object parameters in the collection
Other classes in DoEasy library (Part 72): Tracking and recording chart object parameters in the collection

Other classes in DoEasy library (Part 72): Tracking and recording chart object parameters in the collection

In this article, I will complete working with chart object classes and their collection. I will also implement auto tracking of changes in chart properties and their windows, as well as saving new parameters to the object properties. Such a revision allows the future implementation of an event functionality for the entire chart collection.
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Multi-module trading robot in Python and MQL5 (Part I): Creating basic architecture and first modules

Multi-module trading robot in Python and MQL5 (Part I): Creating basic architecture and first modules

We are going to develop a modular trading system that combines Python for data analysis with MQL5 for trade execution. Four independent modules monitor different market aspects in parallel: volumes, arbitrage, economics and risks, and use RandomForest with 400 trees for analysis. Particular emphasis is placed on risk management, since even the most advanced trading algorithms are useless without proper risk management.
Regression Analysis of the Influence of Macroeconomic Data on Currency Prices Fluctuation
Regression Analysis of the Influence of Macroeconomic Data on Currency Prices Fluctuation

Regression Analysis of the Influence of Macroeconomic Data on Currency Prices Fluctuation

This article considers the application of multiple regression analysis to macroeconomic statistics. It also gives an insight into the evaluation of the statistics impact on the currency exchange rate fluctuation based on the example of the currency pair EURUSD. Such evaluation allows automating the fundamental analysis which becomes available to even novice traders.
Library for easy and quick development of MetaTrader programs (part VII): StopLimit order activation events, preparing the functionality for order and position modification events
Library for easy and quick development of MetaTrader programs (part VII): StopLimit order activation events, preparing the functionality for order and position modification events

Library for easy and quick development of MetaTrader programs (part VII): StopLimit order activation events, preparing the functionality for order and position modification events

In the previous articles, we started creating a large cross-platform library simplifying the development of programs for MetaTrader 5 and MetaTrader 4 platforms. In the sixth part, we trained the library to work with positions on netting accounts. Here we will implement tracking StopLimit orders activation and prepare the functionality to track order and position modification events.
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Price Action Analysis Toolkit Development (Part 25): Dual EMA Fractal Breaker

Price Action Analysis Toolkit Development (Part 25): Dual EMA Fractal Breaker

Price action is a fundamental approach for identifying profitable trading setups. However, manually monitoring price movements and patterns can be challenging and time-consuming. To address this, we are developing tools that analyze price action automatically, providing timely signals whenever potential opportunities are detected. This article introduces a robust tool that leverages fractal breakouts alongside EMA 14 and EMA 200 to generate reliable trading signals, helping traders make informed decisions with greater confidence.
Practical Use of Kohonen Neural Networks in Algorithmic Trading. Part I. Tools
Practical Use of Kohonen Neural Networks in Algorithmic Trading. Part I. Tools

Practical Use of Kohonen Neural Networks in Algorithmic Trading. Part I. Tools

The present article develops the idea of using Kohonen Maps in MetaTrader 5, covered in some previous publications. The improved and enhanced classes provide tools to solve application tasks.
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Price Action Analysis Toolkit Development (Part 3): Analytics Master — EA

Price Action Analysis Toolkit Development (Part 3): Analytics Master — EA

Moving from a simple trading script to a fully functioning Expert Advisor (EA) can significantly enhance your trading experience. Imagine having a system that automatically monitors your charts, performs essential calculations in the background, and provides regular updates every two hours. This EA would be equipped to analyze key metrics that are crucial for making informed trading decisions, ensuring that you have access to the most current information to adjust your strategies effectively.
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Building a Trading System (Part 2): The Science of Position Sizing

Building a Trading System (Part 2): The Science of Position Sizing

Even with a positive-expectancy system, position sizing determines whether you thrive or collapse. It’s the pivot of risk management—translating statistical edges into real-world results while safeguarding your capital.
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Integration of Broker APIs with Expert Advisors using MQL5 and Python

Integration of Broker APIs with Expert Advisors using MQL5 and Python

In this article, we will discuss the implementation of MQL5 in partnership with Python to perform broker-related operations. Imagine having a continuously running Expert Advisor (EA) hosted on a VPS, executing trades on your behalf. At some point, the ability of the EA to manage funds becomes paramount. This includes operations such as topping up your trading account and initiating withdrawals. In this discussion, we will shed light on the advantages and practical implementation of these features, ensuring seamless integration of fund management into your trading strategy. Stay tuned!
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Data Science and Machine Learning (Part 09): The K-Nearest Neighbors Algorithm (KNN)

Data Science and Machine Learning (Part 09): The K-Nearest Neighbors Algorithm (KNN)

This is a lazy algorithm that doesn't learn from the training dataset, it stores the dataset instead and acts immediately when it's given a new sample. As simple as it is, it is used in a variety of real-world applications.
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Price Action Analysis Toolkit Development (Part 6): Mean Reversion Signal Reaper

Price Action Analysis Toolkit Development (Part 6): Mean Reversion Signal Reaper

While some concepts may seem straightforward at first glance, bringing them to life in practice can be quite challenging. In the article below, we'll take you on a journey through our innovative approach to automating an Expert Advisor (EA) that skillfully analyzes the market using a mean reversion strategy. Join us as we unravel the intricacies of this exciting automation process.
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Data Science and Machine Learning (Part 11): Naïve Bayes, Probability theory in Trading

Data Science and Machine Learning (Part 11): Naïve Bayes, Probability theory in Trading

Trading with probability is like walking on a tightrope - it requires precision, balance, and a keen understanding of risk. In the world of trading, the probability is everything. It's the difference between success and failure, profit and loss. By leveraging the power of probability, traders can make informed decisions, manage risk effectively, and achieve their financial goals. So, whether you're a seasoned investor or a novice trader, understanding probability is the key to unlocking your trading potential. In this article, we'll explore the exciting world of trading with probability and show you how to take your trading game to the next level.
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Price Action Analysis Toolkit Development (Part 38): Tick Buffer VWAP and Short-Window Imbalance Engine

Price Action Analysis Toolkit Development (Part 38): Tick Buffer VWAP and Short-Window Imbalance Engine

In Part 38, we build a production-grade MT5 monitoring panel that converts raw ticks into actionable signals. The EA buffers tick data to compute tick-level VWAP, a short-window imbalance (flow) metric, and ATR-based position sizing. It then visualizes spread, ATR, and flow with low-flicker bars. The system calculates a suggested lot size and a 1R stop, and issues configurable alerts for tight spreads, strong flow, and edge conditions. Auto-trading is intentionally disabled; the focus remains on robust signal generation and a clean user experience.
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Algorithmic trading based on 3D reversal patterns

Algorithmic trading based on 3D reversal patterns

Discovering a new world of automated trading on 3D bars. What does a trading robot look like on multidimensional price bars? Are "yellow" clusters of 3D bars able to predict trend reversals? What does multidimensional trading look like?
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Regression models of the Scikit-learn Library and their export to ONNX

Regression models of the Scikit-learn Library and their export to ONNX

In this article, we will explore the application of regression models from the Scikit-learn package, attempt to convert them into ONNX format, and use the resultant models within MQL5 programs. Additionally, we will compare the accuracy of the original models with their ONNX versions for both float and double precision. Furthermore, we will examine the ONNX representation of regression models, aiming to provide a better understanding of their internal structure and operational principles.
Timeseries in DoEasy library (part 46): Multi-period multi-symbol indicator buffers
Timeseries in DoEasy library (part 46): Multi-period multi-symbol indicator buffers

Timeseries in DoEasy library (part 46): Multi-period multi-symbol indicator buffers

In this article, I am going to improve the classes of indicator buffer objects to work in the multi-symbol mode. This will pave the way for creating multi-symbol multi-period indicators in custom programs. I will add the missing functionality to the calculated buffer objects allowing us to create multi-symbol multi-period standard indicators.
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The Kalman Filter for Forex Mean-Reversion Strategies

The Kalman Filter for Forex Mean-Reversion Strategies

The Kalman filter is a recursive algorithm used in algorithmic trading to estimate the true state of a financial time series by filtering out noise from price movements. It dynamically updates predictions based on new market data, making it valuable for adaptive strategies like mean reversion. This article first introduces the Kalman filter, covering its calculation and implementation. Next, we apply the filter to a classic mean-reversion forex strategy as an example. Finally, we conduct various statistical analyses by comparing the filter with a moving average across different forex pairs.
MetaTrader AppStore Results for Q3 2013
MetaTrader AppStore Results for Q3 2013

MetaTrader AppStore Results for Q3 2013

Another quarter of the year has passed and we have decided to sum up its results for MetaTrader AppStore - the largest store of trading robots and technical indicators for MetaTrader platforms. More than 500 developers have placed over 1 200 products in the Market by the end of the reported quarter.
Price series discretization, random component and noise
Price series discretization, random component and noise

Price series discretization, random component and noise

We usually analyze the market using candlesticks or bars that slice the price series into regular intervals. Doesn't such discretization method distort the real structure of market movements? Discretization of an audio signal at regular intervals is an acceptable solution because an audio signal is a function that changes over time. The signal itself is an amplitude which depends on time. This signal property is fundamental.
Other classes in DoEasy library (Part 70): Expanding functionality and auto updating the chart object collection
Other classes in DoEasy library (Part 70): Expanding functionality and auto updating the chart object collection

Other classes in DoEasy library (Part 70): Expanding functionality and auto updating the chart object collection

In this article, I will expand the functionality of chart objects and arrange navigation through charts, creation of screenshots, as well as saving and applying templates to charts. Also, I will implement auto update of the collection of chart objects, their windows and indicators within them.
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Price Action Analysis Toolkit Development (Part 47): Tracking Forex Sessions and Breakouts in MetaTrader 5

Price Action Analysis Toolkit Development (Part 47): Tracking Forex Sessions and Breakouts in MetaTrader 5

Global market sessions shape the rhythm of the trading day, and understanding their overlap is vital to timing entries and exits. In this article, we’ll build an interactive trading sessions  EA that brings those global hours to life directly on your chart. The EA automatically plots color‑coded rectangles for the Asia, Tokyo, London, and New York sessions, updating in real time as each market opens or closes. It features on‑chart toggle buttons, a dynamic information panel, and a scrolling ticker headline that streams live status and breakout messages. Tested on different brokers, this EA combines precision with style—helping traders see volatility transitions, identify cross‑session breakouts, and stay visually connected to the global market’s pulse.
Library for easy and quick development of MetaTrader programs (part VI): Netting account events
Library for easy and quick development of MetaTrader programs (part VI): Netting account events

Library for easy and quick development of MetaTrader programs (part VI): Netting account events

In the previous articles, we started creating a large cross-platform library simplifying the development of programs for MetaTrader 5 and MetaTrader 4 platforms. In the fifth part of the article series, we created trading event classes and the event collection, from which the events are sent to the base object of the Engine library and the control program chart. In this part, we will let the library to work on netting accounts.
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MQL5 Wizard techniques you should know (Part 05): Markov Chains

MQL5 Wizard techniques you should know (Part 05): Markov Chains

Markov chains are a powerful mathematical tool that can be used to model and forecast time series data in various fields, including finance. In financial time series modelling and forecasting, Markov chains are often used to model the evolution of financial assets over time, such as stock prices or exchange rates. One of the main advantages of Markov chain models is their simplicity and ease of use.
Timeseries in DoEasy library (part 45): Multi-period indicator buffers
Timeseries in DoEasy library (part 45): Multi-period indicator buffers

Timeseries in DoEasy library (part 45): Multi-period indicator buffers

In this article, I will start the improvement of the indicator buffer objects and collection class for working in multi-period and multi-symbol modes. I am going to consider the operation of buffer objects for receiving and displaying data from any timeframe on the current symbol chart.
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Developing a Replay System — Market simulation (Part 01): First experiments (I)

Developing a Replay System — Market simulation (Part 01): First experiments (I)

How about creating a system that would allow us to study the market when it is closed or even to simulate market situations? Here we are going to start a new series of articles in which we will deal with this topic.
Building a Spectrum Analyzer
Building a Spectrum Analyzer

Building a Spectrum Analyzer

This article is intended to get its readers acquainted with a possible variant of using graphical objects of the MQL5 language. It analyses an indicator, which implements a panel of managing a simple spectrum analyzer using the graphical objects. The article is meant for readers acquianted with basics of MQL5.
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Price Action Analysis Toolkit Development (Part 26): Pin Bar, Engulfing Patterns and RSI Divergence (Multi-Pattern) Tool

Price Action Analysis Toolkit Development (Part 26): Pin Bar, Engulfing Patterns and RSI Divergence (Multi-Pattern) Tool

Aligned with our goal of developing practical price-action tools, this article explores the creation of an EA that detects pin bar and engulfing patterns, using RSI divergence as a confirmation trigger before generating any trading signals.
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Creating a mean-reversion strategy based on machine learning

Creating a mean-reversion strategy based on machine learning

This article proposes another original approach to creating trading systems based on machine learning, using clustering and trade labeling for mean reversion strategies.
Statistical Estimations
Statistical Estimations

Statistical Estimations

Estimation of statistical parameters of a sequence is very important, since most of mathematical models and methods are based on different assumptions. For example, normality of distribution law or dispersion value, or other parameters. Thus, when analyzing and forecasting of time series we need a simple and convenient tool that allows quickly and clearly estimating the main statistical parameters. The article shortly describes the simplest statistical parameters of a random sequence and several methods of its visual analysis. It offers the implementation of these methods in MQL5 and the methods of visualization of the result of calculations using the Gnuplot application.
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Automating Trading Strategies with Parabolic SAR Trend Strategy in MQL5: Crafting an Effective Expert Advisor

Automating Trading Strategies with Parabolic SAR Trend Strategy in MQL5: Crafting an Effective Expert Advisor

In this article, we will automate the trading strategies with Parabolic SAR Strategy in MQL5: Crafting an Effective Expert Advisor. The EA will make trades based on trends identified by the Parabolic SAR indicator.
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Developing a trading robot in Python (Part 3): Implementing a model-based trading algorithm

Developing a trading robot in Python (Part 3): Implementing a model-based trading algorithm

We continue the series of articles on developing a trading robot in Python and MQL5. In this article, we will create a trading algorithm in Python.
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MQL5 Wizard techniques you should know (Part 01): Regression Analysis

MQL5 Wizard techniques you should know (Part 01): Regression Analysis

Todays trader is a philomath who is almost always (either consciously or not...) looking up new ideas, trying them out, choosing to modify them or discard them; an exploratory process that should cost a fair amount of diligence. This clearly places a premium on the trader's time and the need to avoid mistakes. These series of articles will proposition that the MQL5 wizard should be a mainstay for traders. Why? Because not only does the trader save time by assembling his new ideas with the MQL5 wizard, and greatly reduce mistakes from duplicate coding; he is ultimately set-up to channel his energy on the few critical areas of his trading philosophy.
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Data Science and Machine Learning (Part 04): Predicting Current Stock Market Crash

Data Science and Machine Learning (Part 04): Predicting Current Stock Market Crash

In this article I am going to attempt to use our logistic model to predict the stock market crash based upon the fundamentals of the US economy, the NETFLIX and APPLE are the stocks we are going to focus on, Using the previous market crashes of 2019 and 2020 let's see how our model will perform in the current dooms and glooms.
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Price Action Analysis Toolkit Development (Part 39): Automating BOS and ChoCH Detection in MQL5

Price Action Analysis Toolkit Development (Part 39): Automating BOS and ChoCH Detection in MQL5

This article presents Fractal Reaction System, a compact MQL5 system that converts fractal pivots into actionable market-structure signals. Using closed-bar logic to avoid repainting, the EA detects Change-of-Character (ChoCH) warnings and confirms Breaks-of-Structure (BOS), draws persistent chart objects, and logs/alerts every confirmed event (desktop, mobile and sound). Read on for the algorithm design, implementation notes, testing results and the full EA code so you can compile, test and deploy the detector yourself.
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Data Science and Machine Learning (Part 02): Logistic Regression

Data Science and Machine Learning (Part 02): Logistic Regression

Data Classification is a crucial thing for an algo trader and a programmer. In this article, we are going to focus on one of classification logistic algorithms that can probability help us identify the Yes's or No's, the Ups and Downs, Buys and Sells.
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Visual evaluation of optimization results

Visual evaluation of optimization results

In this article, we will consider how to build graphs of all optimization passes and to select the optimal custom criterion. We will also see how to create a desired solution with little MQL5 knowledge, using the articles published on the website and forum comments.