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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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.
Developing Pivot Mean Oscillator: a novel Indicator for the Cumulative Moving Average
Developing Pivot Mean Oscillator: a novel Indicator for the Cumulative Moving Average

Developing Pivot Mean Oscillator: a novel Indicator for the Cumulative Moving Average

This article presents Pivot Mean Oscillator (PMO), an implementation of the cumulative moving average (CMA) as a trading indicator for the MetaTrader platforms. In particular, we first introduce Pivot Mean (PM) as a normalization index for timeseries that computes the fraction between any data point and the CMA. We then build PMO as the difference between the moving averages applied to two PM signals. Some preliminary experiments carried out on the EURUSD symbol to test the efficacy of the proposed indicator are also reported, leaving ample space for further considerations and improvements.
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.