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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Library for easy and quick development of MetaTrader programs (part XV): Collection of symbol objects
Library for easy and quick development of MetaTrader programs (part XV): Collection of symbol objects

Library for easy and quick development of MetaTrader programs (part XV): Collection of symbol objects

In this article, we will consider creation of a symbol collection based on the abstract symbol object developed in the previous article. The abstract symbol descendants are to clarify a symbol data and define the availability of the basic symbol object properties in a program. Such symbol objects are to be distinguished by their affiliation with groups.
A New Approach to Interpreting Classic and Hidden Divergence. Part II
A New Approach to Interpreting Classic and Hidden Divergence. Part II

A New Approach to Interpreting Classic and Hidden Divergence. Part II

The article provides a critical examination of regular divergence and efficiency of various indicators. In addition, it contains filtering options for an increased analysis accuracy and features description of non-standard solutions. As a result, we will create a new tool for solving the technical task.
Optimization management (Part II): Creating key objects and add-on logic
Optimization management (Part II): Creating key objects and add-on logic

Optimization management (Part II): Creating key objects and add-on logic

This article is a continuation of the previous publication related to the creation of a graphical interface for optimization management. The article considers the logic of the add-on. A wrapper for the MetaTrader 5 terminal will be created: it will enable the running of the add-on as a managed process via C#. In addition, operation with configuration files and setup files is considered in this article. The application logic is divided into two parts: the first one describes the methods called after pressing a particular key, while the second part covers optimization launch and management.
Library for easy and quick development of MetaTrader programs (part XIV): Symbol object
Library for easy and quick development of MetaTrader programs (part XIV): Symbol object

Library for easy and quick development of MetaTrader programs (part XIV): Symbol object

In this article, we will create the class of a symbol object that is to be the basic object for creating the symbol collection. The class will allow us to obtain data on the necessary symbols for their further analysis and comparison.
Library for easy and quick development of MetaTrader programs (part XIII): Account object events
Library for easy and quick development of MetaTrader programs (part XIII): Account object events

Library for easy and quick development of MetaTrader programs (part XIII): Account object events

The article considers working with account events for tracking important changes in account properties affecting the automated trading. We have already implemented some functionality for tracking account events in the previous article when developing the account object collection.
Library for easy and quick development of MetaTrader programs (part XII): Account object class and collection of account objects
Library for easy and quick development of MetaTrader programs (part XII): Account object class and collection of account objects

Library for easy and quick development of MetaTrader programs (part XII): Account object class and collection of account objects

In the previous article, we defined position closure events for MQL4 in the library and got rid of the unused order properties. Here we will consider the creation of the Account object, develop the collection of account objects and prepare the functionality for tracking account events.
Library for easy and quick development of MetaTrader programs (part XI). Compatibility with MQL4 - Position closure events
Library for easy and quick development of MetaTrader programs (part XI). Compatibility with MQL4 - Position closure events

Library for easy and quick development of MetaTrader programs (part XI). Compatibility with MQL4 - Position closure events

We continue the development of a large cross-platform library simplifying the development of programs for MetaTrader 5 and MetaTrader 4 platforms. In the tenth part, we resumed our work on the library compatibility with MQL4 and defined the events of opening positions and activating pending orders. In this article, we will define the events of closing positions and get rid of the unused order properties.
Optimization management (Part I): Creating a GUI
Optimization management (Part I): Creating a GUI

Optimization management (Part I): Creating a GUI

This article describes the process of creating an extension for the MetaTrader terminal. The solution discussed helps to automate the optimization process by running optimizations in other terminals. A few more articles will be written concerning this topic. The extension has been developed using the C# language and design patterns, which additionally demonstrates the ability to expand the terminal capabilities by developing custom modules, as well as the ability to create custom graphical user interfaces using the functionality of a preferred programming language.
Library for easy and quick development of MetaTrader programs (part X): Compatibility with MQL4 - Events of opening a position and activating pending orders
Library for easy and quick development of MetaTrader programs (part X): Compatibility with MQL4 - Events of opening a position and activating pending orders

Library for easy and quick development of MetaTrader programs (part X): Compatibility with MQL4 - Events of opening a position and activating pending orders

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 ninth part, we started improving the library classes for working with MQL4. Here we will continue improving the library to ensure its full compatibility with MQL4.
Extract profit down to the last pip
Extract profit down to the last pip

Extract profit down to the last pip

The article describes an attempt to combine theory with practice in the algorithmic trading field. Most of discussions concerning the creation of Trading Systems is connected with the use of historic bars and various indicators applied thereon. This is the most well covered field and thus we will not consider it. Bars represent a very artificial entity; therefore we will work with something closer to proto-data, namely the price ticks.
Library for easy and quick development of MetaTrader programs (part IX): Compatibility with MQL4 - Preparing data
Library for easy and quick development of MetaTrader programs (part IX): Compatibility with MQL4 - Preparing data

Library for easy and quick development of MetaTrader programs (part IX): Compatibility with MQL4 - Preparing data

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 eighth part, we implemented the class for tracking order and position modification events. Here, we will improve the library by making it fully compatible with MQL4.
Library for easy and quick development of MetaTrader programs (part VIII): Order and position modification events
Library for easy and quick development of MetaTrader programs (part VIII): Order and position modification events

Library for easy and quick development of MetaTrader programs (part VIII): 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 seventh part, we added tracking StopLimit orders activation and prepared the functionality for tracking other events involving orders and positions. In this article, we will develop the class for tracking order and position modification events.
Grokking market "memory" through differentiation and entropy analysis
Grokking market "memory" through differentiation and entropy analysis

Grokking market "memory" through differentiation and entropy analysis

The scope of use of fractional differentiation is wide enough. For example, a differentiated series is usually input into machine learning algorithms. The problem is that it is necessary to display new data in accordance with the available history, which the machine learning model can recognize. In this article we will consider an original approach to time series differentiation. The article additionally contains an example of a self optimizing trading system based on a received differentiated series.
Evaluating the ability of Fractal index and Hurst exponent to predict financial time series
Evaluating the ability of Fractal index and Hurst exponent to predict financial time series

Evaluating the ability of Fractal index and Hurst exponent to predict financial time series

Studies related to search for the fractal behavior of financial data suggest that behind the seemingly chaotic behavior of economic time series there are hidden stable mechanisms of participants' collective behavior. These mechanisms can lead to the emergence of price dynamics on the exchange, which can define and describe specific properties of price series. When applied to trading, one could benefit from the indicators which can efficiently and reliably estimate the fractal parameters in the scale and time frame, which are relevant in practice.
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.
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.
Applying OLAP in trading (part 2): Visualizing the interactive multidimensional data analysis results
Applying OLAP in trading (part 2): Visualizing the interactive multidimensional data analysis results

Applying OLAP in trading (part 2): Visualizing the interactive multidimensional data analysis results

In this article, we consider the creation of an interactive graphical interface for an MQL program, which is designed for the processing of account history and trading reports using OLAP techniques. To obtain a visual result, we will use maximizable and scalable windows, an adaptive layout of rubber controls and a new control for displaying diagrams. To provide the visualization functionality, we will implement a GUI with the selection of variables along coordinate axes, as well as with the selection of aggregate functions, diagram types and sorting options.
Applying OLAP in trading (part 1): Online analysis of multidimensional data
Applying OLAP in trading (part 1): Online analysis of multidimensional data

Applying OLAP in trading (part 1): Online analysis of multidimensional data

The article describes how to create a framework for the online analysis of multidimensional data (OLAP), as well as how to implement this in MQL and to apply such analysis in the MetaTrader environment using the example of trading account history processing.
Library for easy and quick development of MetaTrader programs (part V): Classes and collection of trading events, sending events to the program
Library for easy and quick development of MetaTrader programs (part V): Classes and collection of trading events, sending events to the program

Library for easy and quick development of MetaTrader programs (part V): Classes and collection of trading events, sending events to the program

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 fourth part, we tested tracking trading events on the account. In this article, we will develop trading event classes and place them to the event collections. From there, they will be sent to the base object of the Engine library and the control program chart.
Selection and navigation utility in MQL5 and MQL4: Adding data to charts
Selection and navigation utility in MQL5 and MQL4: Adding data to charts

Selection and navigation utility in MQL5 and MQL4: Adding data to charts

In this article, we will continue expanding the functionality of the utility. This time, we will add the ability to display data that simplifies our trading. In particular, we are going to add High and Low prices of the previous day, round levels, High and Low prices of the year, session start time, etc.
Library for easy and quick development of MetaTrader programs (part IV): Trading events
Library for easy and quick development of MetaTrader programs (part IV): Trading events

Library for easy and quick development of MetaTrader programs (part IV): Trading 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. We already have collections of historical orders and deals, market orders and positions, as well as the class for convenient selection and sorting of orders. In this part, we will continue the development of the base object and teach the Engine Library to track trading events on the account.
How to visualize multicurrency trading history based on HTML and CSV reports
How to visualize multicurrency trading history based on HTML and CSV reports

How to visualize multicurrency trading history based on HTML and CSV reports

Since its introduction, MetaTrader 5 provides multicurrency testing options. This possibility is often used by traders. However the function is not universal. The article presents several programs for drawing graphical objects on charts based on HTML and CSV trading history reports. Multicurrency trading can be analyzed in parallel, in several sub-windows, as well as in one window using the dynamic switching command.
Studying candlestick analysis techniques (part IV): Updates and additions to Pattern Analyzer
Studying candlestick analysis techniques (part IV): Updates and additions to Pattern Analyzer

Studying candlestick analysis techniques (part IV): Updates and additions to Pattern Analyzer

The article presents a new version of the Pattern Analyzer application. This version provides bug fixes and new features, as well as the revised user interface. Comments and suggestions from previous article were taken into account when developing the new version. The resulting application is described in this article.
Using MATLAB 2018 computational capabilities in MetaTrader 5
Using MATLAB 2018 computational capabilities in MetaTrader 5

Using MATLAB 2018 computational capabilities in MetaTrader 5

After the upgrade of the MATLAB package in 2015, it is necessary to consider a modern way of creating DLL libraries. The article uses a sample predictive indicator to illustrate the peculiarities of linking MetaTrader 5 and MATLAB using modern 64-bit versions of the platforms, which are utilized nowadays. With the entire sequence of connecting MATLAB considered, MQL5 developers will be able to create applications with advanced computational capabilities much faster, avoiding «pitfalls».
MTF indicators as the technical analysis tool
MTF indicators as the technical analysis tool

MTF indicators as the technical analysis tool

Most of traders agree that the current market state analysis starts with the evaluation of higher chart timeframes. The analysis is performed downwards to lower timeframes until the one, at which deals are performed. This analysis method seems to be a mandatory part of professional approach for successful trading. In this article, we will discuss multi-timeframe indicators and their creation ways, as well as we will provide MQL5 code examples. In addition to the general evaluation of advantages and disadvantages, we will propose a new indicator approach using the MTF mode.
Library for easy and quick development of MetaTrader programs (part III). Collection of market orders and positions, search and sorting
Library for easy and quick development of MetaTrader programs (part III). Collection of market orders and positions, search and sorting

Library for easy and quick development of MetaTrader programs (part III). Collection of market orders and positions, search and sorting

In the first part, we started creating a large cross-platform library simplifying the development of programs for MetaTrader 5 and MetaTrader 4 platforms. Further on, we implemented the collection of history orders and deals. Our next step is creating a class for a convenient selection and sorting of orders, deals and positions in collection lists. We are going to implement the base library object called Engine and add collection of market orders and positions to the library.
Extracting structured data from HTML pages using CSS selectors
Extracting structured data from HTML pages using CSS selectors

Extracting structured data from HTML pages using CSS selectors

The article provides a description of a universal method for analyzing and converting data from HTML documents based on CSS selectors. Trading reports, tester reports, your favorite economic calendars, public signals, account monitoring and additional online quote sources will become available straight from MQL.
Library for easy and quick development of MetaTrader programs (part II). Collection of historical orders and deals
Library for easy and quick development of MetaTrader programs (part II). Collection of historical orders and deals

Library for easy and quick development of MetaTrader programs (part II). Collection of historical orders and deals

In the first part, we started creating a large cross-platform library simplifying the development of programs for MetaTrader 5 and MetaTrader 4 platforms. We created the COrder abstract object which is a base object for storing data on history orders and deals, as well as on market orders and positions. Now we will develop all the necessary objects for storing account history data in collections.
Library for easy and quick development of MetaTrader programs (part I). Concept, data management and first results
Library for easy and quick development of MetaTrader programs (part I). Concept, data management and first results

Library for easy and quick development of MetaTrader programs (part I). Concept, data management and first results

While analyzing a huge number of trading strategies, orders for development of applications for MetaTrader 5 and MetaTrader 4 terminals and various MetaTrader websites, I came to the conclusion that all this diversity is based mostly on the same elementary functions, actions and values appearing regularly in different programs. This resulted in DoEasy cross-platform library for easy and quick development of МetaТrader 5 and МetaТrader 4 applications.
Color optimization of trading strategies
Color optimization of trading strategies

Color optimization of trading strategies

In this article we will perform an experiment: we will color optimization results. The color is determined by three parameters: the levels of red, green and blue (RGB). There are other color coding methods, which also use three parameters. Thus, three testing parameters can be converted to one color, which visually represents the values. Read this article to find out if such a representation can be useful.
MetaTrader 5 and Python integration: receiving and sending data
MetaTrader 5 and Python integration: receiving and sending data

MetaTrader 5 and Python integration: receiving and sending data

Comprehensive data processing requires extensive tools and is often beyond the sandbox of one single application. Specialized programming languages are used for processing and analyzing data, statistics and machine learning. One of the leading programming languages for data processing is Python. The article provides a description of how to connect MetaTrader 5 and Python using sockets, as well as how to receive quotes via the terminal API.
MQL Parsing by Means of MQL
MQL Parsing by Means of MQL

MQL Parsing by Means of MQL

The article describes a preprocessor, a scanner, and a parser to be used in parsing the MQL-based source codes. MQL implementation is attached.
The power of ZigZag (part II). Examples of receiving, processing and displaying data
The power of ZigZag (part II). Examples of receiving, processing and displaying data

The power of ZigZag (part II). Examples of receiving, processing and displaying data

In the first part of the article, I have described a modified ZigZag indicator and a class for receiving data of that type of indicators. Here, I will show how to develop indicators based on these tools and write an EA for tests that features making deals according to signals formed by ZigZag indicator. As an addition, the article will introduce a new version of the EasyAndFast library for developing graphical user interfaces.
The power of ZigZag (part I). Developing the base class of the indicator
The power of ZigZag (part I). Developing the base class of the indicator

The power of ZigZag (part I). Developing the base class of the indicator

Many researchers do not pay enough attention to determining the price behavior. At the same time, complex methods are used, which very often are simply “black boxes”, such as machine learning or neural networks. The most important question arising in that case is what data to submit for training a particular model.
Practical application of correlations in trading
Practical application of correlations in trading

Practical application of correlations in trading

In this article, we will analyze the concept of correlation between variables, as well as methods for the calculation of correlation coefficients and their practical use in trading. Correlation is a statistical relationship between two or more random variables (or quantities which can be considered random with some acceptable degree of accuracy). Changes in one ore more variables lead to systematic changes of other related variables.
Practical Use of Kohonen Neural Networks in Algorithmic Trading. Part II. Optimizing and forecasting
Practical Use of Kohonen Neural Networks in Algorithmic Trading. Part II. Optimizing and forecasting

Practical Use of Kohonen Neural Networks in Algorithmic Trading. Part II. Optimizing and forecasting

Based on universal tools designed for working with Kohonen networks, we construct the system of analyzing and selecting the optimal EA parameters and consider forecasting time series. In Part I, we corrected and improved the publicly available neural network classes, having added necessary algorithms. Now, it is time to apply them to practice.
Analyzing trading results using HTML reports
Analyzing trading results using HTML reports

Analyzing trading results using HTML reports

The MetaTrader 5 platform features functionality for saving trading reports, as well as Expert Advisor testing and optimization reports. Trading and testing reports can be saved in two formats: XLSX and HTML, while the optimization report can be saved in XML. In this article we consider the HTML testing report, the XML optimization report and the HTML trading history report.
Selection and navigation utility in MQL5 and MQL4: Adding auto search for patterns and displaying detected symbols
Selection and navigation utility in MQL5 and MQL4: Adding auto search for patterns and displaying detected symbols

Selection and navigation utility in MQL5 and MQL4: Adding auto search for patterns and displaying detected symbols

In this article, we continue expanding the features of the utility for collecting and navigating through symbols. This time, we will create new tabs displaying only the symbols that satisfy some of the necessary parameters and find out how to easily add custom tabs with the necessary sorting rules.
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.
Separate optimization of a strategy on trend and flat conditions
Separate optimization of a strategy on trend and flat conditions

Separate optimization of a strategy on trend and flat conditions

The article considers applying the separate optimization method during various market conditions. Separate optimization means defining trading system's optimal parameters by optimizing for an uptrend and downtrend separately. To reduce the effect of false signals and improve profitability, the systems are made flexible, meaning they have some specific set of settings or input data, which is justified because the market behavior is constantly changing.