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.

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Timeseries in DoEasy library (part 44): Collection class of indicator buffer objects
Timeseries in DoEasy library (part 44): Collection class of indicator buffer objects

Timeseries in DoEasy library (part 44): Collection class of indicator buffer objects

The article deals with creating a collection class of indicator buffer objects. I am going to test the ability to create and work with any number of buffers for indicators (the maximum number of buffers that can be created in MQL indicators is 512).
Timeseries in DoEasy library (part 43): Classes of indicator buffer objects
Timeseries in DoEasy library (part 43): Classes of indicator buffer objects

Timeseries in DoEasy library (part 43): Classes of indicator buffer objects

The article considers the development of indicator buffer object classes as descendants of the abstract buffer object simplifying declaration and working with indicator buffers, while creating custom indicator programs based on DoEasy library.
Timeseries in DoEasy library (part 42): Abstract indicator buffer object class
Timeseries in DoEasy library (part 42): Abstract indicator buffer object class

Timeseries in DoEasy library (part 42): Abstract indicator buffer object class

In this article, we start the development of the indicator buffer classes for the DoEasy library. We will create the base class of the abstract buffer which is to be used as a foundation for the development of different class types of indicator buffers.
Timeseries in DoEasy library (part 41): Sample multi-symbol multi-period indicator
Timeseries in DoEasy library (part 41): Sample multi-symbol multi-period indicator

Timeseries in DoEasy library (part 41): Sample multi-symbol multi-period indicator

In the article, we will consider a sample multi-symbol multi-period indicator using the timeseries classes of the DoEasy library displaying the chart of a selected currency pair on a selected timeframe as candles in a subwindow. I am going to modify the library classes a bit and create a separate file for storing enumerations for program inputs and selecting a compilation language.
Timeseries in DoEasy library (part 40): Library-based indicators - updating data in real time
Timeseries in DoEasy library (part 40): Library-based indicators - updating data in real time

Timeseries in DoEasy library (part 40): Library-based indicators - updating data in real time

The article considers the development of a simple multi-period indicator based on the DoEasy library. Let's improve the timeseries classes to receive data from any timeframes to display it on the current chart period.
Timeseries in DoEasy library (part 39): Library-based indicators - preparing data and timeseries events
Timeseries in DoEasy library (part 39): Library-based indicators - preparing data and timeseries events

Timeseries in DoEasy library (part 39): Library-based indicators - preparing data and timeseries events

The article deals with applying DoEasy library for creating multi-symbol multi-period indicators. We are going to prepare the library classes to work within indicators and test creating timeseries to be used as data sources in indicators. We will also implement creating and sending timeseries events.
Timeseries in DoEasy library (part 38): Timeseries collection - real-time updates and accessing data from the program
Timeseries in DoEasy library (part 38): Timeseries collection - real-time updates and accessing data from the program

Timeseries in DoEasy library (part 38): Timeseries collection - real-time updates and accessing data from the program

The article considers real-time update of timeseries data and sending messages about the "New bar" event to the control program chart from all timeseries of all symbols for the ability to handle these events in custom programs. The "New tick" class is used to determine the need to update timeseries for the non-current chart symbol and periods.
Applying OLAP in trading (part 4): Quantitative and visual analysis of tester reports
Applying OLAP in trading (part 4): Quantitative and visual analysis of tester reports

Applying OLAP in trading (part 4): Quantitative and visual analysis of tester reports

The article offers basic tools for the OLAP analysis of tester reports relating to single passes and optimization results. The tool can work with standard format files (tst and opt), and it also provides a graphical interface. MQL source codes are attached below.
Timeseries in DoEasy library (part 37): Timeseries collection - database of timeseries by symbols and periods
Timeseries in DoEasy library (part 37): Timeseries collection - database of timeseries by symbols and periods

Timeseries in DoEasy library (part 37): Timeseries collection - database of timeseries by symbols and periods

The article deals with the development of the timeseries collection of specified timeframes for all symbols used in the program. We are going to develop the timeseries collection, the methods of setting collection's timeseries parameters and the initial filling of developed timeseries with historical data.
Forecasting Time Series (Part 2): Least-Square Support-Vector Machine (LS-SVM)
Forecasting Time Series (Part 2): Least-Square Support-Vector Machine (LS-SVM)

Forecasting Time Series (Part 2): Least-Square Support-Vector Machine (LS-SVM)

This article deals with the theory and practical application of the algorithm for forecasting time series, based on support-vector method. It also proposes its implementation in MQL and provides test indicators and Expert Advisors. This technology has not been implemented in MQL yet. But first, we have to get to know math for it.
Timeseries in DoEasy library (part 36): Object of timeseries for all used symbol periods
Timeseries in DoEasy library (part 36): Object of timeseries for all used symbol periods

Timeseries in DoEasy library (part 36): Object of timeseries for all used symbol periods

In this article, we will consider combining the lists of bar objects for each used symbol period into a single symbol timeseries object. Thus, each symbol will have an object storing the lists of all used symbol timeseries periods.
Forecasting Time Series (Part 1): Empirical Mode Decomposition (EMD) Method
Forecasting Time Series (Part 1): Empirical Mode Decomposition (EMD) Method

Forecasting Time Series (Part 1): Empirical Mode Decomposition (EMD) Method

This article deals with the theory and practical use of the algorithm for forecasting time series, based on the empirical decomposition mode. It proposes the MQL implementation of this method and presents test indicators and Expert Advisors.
Timeseries in DoEasy library (part 35): Bar object and symbol timeseries list
Timeseries in DoEasy library (part 35): Bar object and symbol timeseries list

Timeseries in DoEasy library (part 35): Bar object and symbol timeseries list

This article starts a new series about the creation of the DoEasy library for easy and fast program development. In the current article, we will implement the library functionality for accessing and working with symbol timeseries data. We are going to create the Bar object storing the main and extended timeseries bar data, and place bar objects to the timeseries list for convenient search and sorting of the objects.
Library for easy and quick development of MetaTrader programs (part XXXIV): Pending trading requests - removing and modifying orders and positions under certain conditions
Library for easy and quick development of MetaTrader programs (part XXXIV): Pending trading requests - removing and modifying orders and positions under certain conditions

Library for easy and quick development of MetaTrader programs (part XXXIV): Pending trading requests - removing and modifying orders and positions under certain conditions

In this article, we will complete the description of the pending request trading concept and create the functionality for removing pending orders, as well as modifying orders and positions under certain conditions. Thus, we are going to have the entire functionality enabling us to develop simple custom strategies, or rather EA behavior logic activated upon user-defined conditions.
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How to create 3D graphics using DirectX in MetaTrader 5

How to create 3D graphics using DirectX in MetaTrader 5

3D graphics provide excellent means for analyzing huge amounts of data as they enable the visualization of hidden patterns. These tasks can be solved directly in MQL5, while DireсtX functions allow creating three-dimensional object. Thus, it is even possible to create programs of any complexity, even 3D games for MetaTrader 5. Start learning 3D graphics by drawing simple three-dimensional shapes.
Library for easy and quick development of MetaTrader programs (part XXXIII): Pending trading requests - closing positions under certain conditions
Library for easy and quick development of MetaTrader programs (part XXXIII): Pending trading requests - closing positions under certain conditions

Library for easy and quick development of MetaTrader programs (part XXXIII): Pending trading requests - closing positions under certain conditions

We continue the development of the library functionality featuring trading using pending requests. We have already implemented sending conditional trading requests for opening positions and placing pending orders. In the current article, we will implement conditional position closure – full, partial and closing by an opposite position.
Applying OLAP in trading (part 3): Analyzing quotes for the development of trading strategies
Applying OLAP in trading (part 3): Analyzing quotes for the development of trading strategies

Applying OLAP in trading (part 3): Analyzing quotes for the development of trading strategies

In this article we will continue dealing with the OLAP technology applied to trading. We will expand the functionality presented in the first two articles. This time we will consider the operational analysis of quotes. We will put forward and test the hypotheses on trading strategies based on aggregated historical data. The article presents Expert Advisors for studying bar patterns and adaptive trading.
Library for easy and quick development of MetaTrader programs (part XXXII): Pending trading requests - placing orders under certain conditions
Library for easy and quick development of MetaTrader programs (part XXXII): Pending trading requests - placing orders under certain conditions

Library for easy and quick development of MetaTrader programs (part XXXII): Pending trading requests - placing orders under certain conditions

We continue the development of the functionality allowing users to trade using pending requests. In this article, we are going to implement the ability to place pending orders under certain conditions.
Library for easy and quick development of MetaTrader programs (part XXXI): Pending trading requests - opening positions under certain conditions
Library for easy and quick development of MetaTrader programs (part XXXI): Pending trading requests - opening positions under certain conditions

Library for easy and quick development of MetaTrader programs (part XXXI): Pending trading requests - opening positions under certain conditions

Starting with this article, we are going to develop a functionality allowing users to trade using pending requests under certain conditions, for example, when reaching a certain time limit, exceeding a specified profit or closing a position by stop loss.
Multicurrency monitoring of trading signals (Part 1): Developing the application structure
Multicurrency monitoring of trading signals (Part 1): Developing the application structure

Multicurrency monitoring of trading signals (Part 1): Developing the application structure

In this article, we will discuss the idea of creating a multicurrency monitor of trading signals and will develop a future application structure along with its prototype, as well as create its framework for further operation. The article presents a step-by-step creation of a flexible multicurrency application which will enable the generation of trading signals and which will assist traders in finding the desired signals.
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Continuous Walk-Forward Optimization (Part 3): Adapting a Robot to Auto Optimizer

Continuous Walk-Forward Optimization (Part 3): Adapting a Robot to Auto Optimizer

The third part serves as a bridge between the previous two parts: it describes the mechanism of interaction with the DLL considered in the first article and the objects for report downloading, which were described in the second article. We will analyze the process of wrapper creation for a class which is imported from DLL and which forms an XML file with the trading history. We will also consider a method for interacting with this wrapper.
Library for easy and quick development of MetaTrader programs (part XXX): Pending trading requests - managing request objects
Library for easy and quick development of MetaTrader programs (part XXX): Pending trading requests - managing request objects

Library for easy and quick development of MetaTrader programs (part XXX): Pending trading requests - managing request objects

In the previous article, we have created the classes of pending request objects corresponding to the general concept of library objects. This time, we are going to deal with the class allowing the management of pending request objects.
Library for easy and quick development of MetaTrader programs (part XXIX): Pending trading requests - request object classes
Library for easy and quick development of MetaTrader programs (part XXIX): Pending trading requests - request object classes

Library for easy and quick development of MetaTrader programs (part XXIX): Pending trading requests - request object classes

In the previous articles, we checked the concept of pending trading requests. A pending request is, in fact, a common trading order executed by a certain condition. In this article, we are going to create full-fledged classes of pending request objects — a base request object and its descendants.
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Neural Networks Made Easy

Neural Networks Made Easy

Artificial intelligence is often associated with something fantastically complex and incomprehensible. At the same time, artificial intelligence is increasingly mentioned in everyday life. News about achievements related to the use of neural networks often appear in different media. The purpose of this article is to show that anyone can easily create a neural network and use the AI achievements in trading.
Library for easy and quick development of MetaTrader programs (part XXVIII): Closure, removal and modification of pending trading requests
Library for easy and quick development of MetaTrader programs (part XXVIII): Closure, removal and modification of pending trading requests

Library for easy and quick development of MetaTrader programs (part XXVIII): Closure, removal and modification of pending trading requests

This is the third article about the concept of pending requests. We are going to complete the tests of pending trading requests by creating the methods for closing positions, removing pending orders and modifying position and pending order parameters.
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SQLite: Native handling of SQL databases in MQL5

SQLite: Native handling of SQL databases in MQL5

The development of trading strategies is associated with handling large amounts of data. Now, you are able to work with databases using SQL queries based on SQLite directly in MQL5. An important feature of this engine is that the entire database is placed in a single file located on a user's PC.
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Continuous Walk-Forward Optimization (Part 2): Mechanism for creating an optimization report for any robot

Continuous Walk-Forward Optimization (Part 2): Mechanism for creating an optimization report for any robot

The first article within the Walk-Through Optimization series described the creation of a DLL to be used in our auto optimizer. This continuation is entirely devoted to the MQL5 language.
Library for easy and quick development of MetaTrader programs (part XXVII): Working with trading requests - placing pending orders
Library for easy and quick development of MetaTrader programs (part XXVII): Working with trading requests - placing pending orders

Library for easy and quick development of MetaTrader programs (part XXVII): Working with trading requests - placing pending orders

In this article, we will continue the development of trading requests, implement placing pending orders and eliminate detected shortcomings of the trading class operation.
Library for easy and quick development of MetaTrader programs (part XXVI): Working with pending trading requests - first implementation (opening positions)
Library for easy and quick development of MetaTrader programs (part XXVI): Working with pending trading requests - first implementation (opening positions)

Library for easy and quick development of MetaTrader programs (part XXVI): Working with pending trading requests - first implementation (opening positions)

In this article, we are going to store some data in the value of the orders and positions magic number and start the implementation of pending requests. To check the concept, let's create the first test pending request for opening market positions when receiving a server error requiring waiting and sending a repeated request.
Exploring Seasonal Patterns of Financial Time Series with Boxplot
Exploring Seasonal Patterns of Financial Time Series with Boxplot

Exploring Seasonal Patterns of Financial Time Series with Boxplot

In this article we will view seasonal characteristics of financial time series using Boxplot diagrams. Each separate boxplot (or box-and-whiskey diagram) provides a good visualization of how values are distributed along the dataset. Boxplots should not be confused with the candlestick charts, although they can be visually similar.
Library for easy and quick development of MetaTrader programs (part XXV): Handling errors returned by the trade server
Library for easy and quick development of MetaTrader programs (part XXV): Handling errors returned by the trade server

Library for easy and quick development of MetaTrader programs (part XXV): Handling errors returned by the trade server

After we send a trading order to the server, we need to check the error codes or the absence of errors. In this article, we will consider handling errors returned by the trade server and prepare for creating pending trading requests.
Library for easy and quick development of MetaTrader programs (part XXIV): Base trading class - auto correction of invalid parameters
Library for easy and quick development of MetaTrader programs (part XXIV): Base trading class - auto correction of invalid parameters

Library for easy and quick development of MetaTrader programs (part XXIV): Base trading class - auto correction of invalid parameters

In this article, we will have a look at the handler of invalid trading order parameters and improve the trading event class. Now all trading events (both single ones and the ones occurred simultaneously within one tick) will be defined in programs correctly.
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Continuous Walk-Forward Optimization (Part 1): Working with Optimization Reports

Continuous Walk-Forward Optimization (Part 1): Working with Optimization Reports

The first article is devoted to the creation of a toolkit for working with optimization reports, for importing them from the terminal, as well as for filtering and sorting the obtained data. MetaTrader 5 allows downloading optimization results, however our purpose is to add our own data to the optimization report.
Library for easy and quick development of MetaTrader programs (part XXIII): Base trading class - verification of valid parameters
Library for easy and quick development of MetaTrader programs (part XXIII): Base trading class - verification of valid parameters

Library for easy and quick development of MetaTrader programs (part XXIII): Base trading class - verification of valid parameters

In the article, we continue the development of the trading class by implementing the control over incorrect trading order parameter values and voicing trading events.
Library for easy and quick development of MetaTrader programs (part XXII): Trading classes - Base trading class, verification of limitations
Library for easy and quick development of MetaTrader programs (part XXII): Trading classes - Base trading class, verification of limitations

Library for easy and quick development of MetaTrader programs (part XXII): Trading classes - Base trading class, verification of limitations

In this article, we will start the development of the library base trading class and add the initial verification of permissions to conduct trading operations to its first version. Besides, we will slightly expand the features and content of the base trading class.
Library for easy and quick development of MetaTrader programs (part XXI): Trading classes - Base cross-platform trading object
Library for easy and quick development of MetaTrader programs (part XXI): Trading classes - Base cross-platform trading object

Library for easy and quick development of MetaTrader programs (part XXI): Trading classes - Base cross-platform trading object

In this article, we will start the development of the new library section - trading classes. Besides, we will consider the development of a unified base trading object for MetaTrader 5 and MetaTrader 4 platforms. When sending a request to the server, such a trading object implies that verified and correct trading request parameters are passed to it.
Library for easy and quick development of MetaTrader programs (part XX): Creating and storing program resources
Library for easy and quick development of MetaTrader programs (part XX): Creating and storing program resources

Library for easy and quick development of MetaTrader programs (part XX): Creating and storing program resources

The article deals with storing data in the program's source code and creating audio and graphical files out of them. When developing an application, we often need audio and images. The MQL language features several methods of using such data.
Library for easy and quick development of MetaTrader programs (part XIX): Class of library messages
Library for easy and quick development of MetaTrader programs (part XIX): Class of library messages

Library for easy and quick development of MetaTrader programs (part XIX): Class of library messages

In this article, we will consider the class of displaying text messages. Currently, we have a sufficient number of different text messages. It is time to re-arrange the methods of their storage, display and translation of Russian or English messages to other languages. Besides, it would be good to introduce convenient ways of adding new languages to the library and quickly switching between them.
Library for easy and quick development of MetaTrader programs (part XVII): Interactivity of library objects
Library for easy and quick development of MetaTrader programs (part XVII): Interactivity of library objects

Library for easy and quick development of MetaTrader programs (part XVII): Interactivity of library objects

In this article, we are going to finish the development of the base object of all library objects, so that any library object based on it is able to interact with a user. For example, users will be able to set the maximum acceptable size of a spread for opening a position and a price level, upon reaching which an event from a symbol object is sent to the program with the spread or price level-based signal.
Library for easy and quick development of MetaTrader programs (part XVI): Symbol collection events
Library for easy and quick development of MetaTrader programs (part XVI): Symbol collection events

Library for easy and quick development of MetaTrader programs (part XVI): Symbol collection events

In this article, we will create a new base class of all library objects adding the event functionality to all its descendants and develop the class for tracking symbol collection events based on the new base class. We will also change account and account event classes for developing the new base object functionality.