Aleksej Poljakov / 个人资料

In this article, we will examine how to build and apply Markov chains in market conditions: from selecting states and counting transitions to generating forecasts of trajectories and levels. We will also see how Markov chains can be applied to qualitative and quantitative data, ways to account for rare events, and the impact of the forecast horizon. Examples are provided using prices and indicators, as well as an option for evaluating a sequence of trades, with ready-to-use implementations in MQL5.

The article examines the practical application of finite differences in trading: types of differences, their relationship to price dynamics, and the binomial transform for noise filtering. The rules for encoding patterns based on difference levels and the application of these patterns to forecasting are described. This section presents naive, adaptive, and probabilistic approaches that help smooth time series, identify recurring patterns, and estimate future movements.

The article discusses the application of Walsh functions in trading. We will explore the basic principles of using these functions to analyze financial markets, forecast prices, and make trading decisions. We will also discuss the advantages and disadvantages of these functions, as well as the prospects for their application in trading and technical analysis.

Although the functions we will discuss have been known for quite some time, their application in the field of trading remains terra incognita to this day. In this article, we will explore some of the opportunities these old-but-new functions offer for developing trading strategies and assess their potential.

In this article, we will examine the application of mathematics to grid strategies. We will consider the basic principles of the strategy, as well as its advantages and disadvantages. You will learn how to build a trading grid, set optimal parameters, and manage risks effectively.

本文探讨灰色模型（GM）在金融时间序列预测中的应用。我们将介绍GM的工作原理，以及其在金融序列上的具体应用方式。同时也会讨论该类模型在交易场景中的优势与局限性。

本文研究灰色模型，这是一种具有潜力的工具，能够提升交易者在分析与策略构建方面的能力。我们探讨了将该模型应用于技术分析并构建交易策略的若干实现方案。