The Random Process Analysis Tutorial is an indispensable tool for students, educators, and professionals seeking to understand and master the complex but incredibly important concepts of probability theory and statistics. Created by a team of authors, this manual combines theoretical foundations and practical methods of analyzing random processes, making complex topics accessible and understandable even for those who are just taking the first steps in this field. The book reveals to the reader the richness of the world of random processes, starting with basic concepts and ending with modern methods of their analysis. It deals in detail with topics such as stationary and non-stationary processes, Markov chains, Poisson processes, random functions and their properties. Particular attention is paid to practical aspects - modeling methods, statistical data processing and the application of theory in various fields of science and technology. This manual is not just a theoretical textbook, it is a guide to the world of random phenomena, which helps to understand how randomness affects real systems, from financial markets to engineering solutions. Who can like this book? It is intended for undergraduate and graduate students studying mathematics, statistics, computer science, economics and engineering . It will also be useful for teachers looking for modern and structured material for lectures and practical exercises. For professionals working in the field of data analysis, modeling and optimization, this manual will become a reliable source of knowledge and practical recommendations. In general, the book is suitable for those who are interested in mathematical models of random phenomena, want to learn how to use them in real problems and expand their professional horizons. The style of presentation of the authors is distinguished by clarity and logical structure, which makes complex topics understandable and fascinating. The authors use a living language, avoiding excessive academic “heaviness”, which allows the reader to easily immerse himself in the material and assimilate it. There are many illustrations, graphs and examples in the book, which contributes to a better perception of information and consolidation of knowledge .. A special place is occupied by the practical part, which includes tasks and exercises that allow you to consolidate theoretical knowledge and learn how to apply them in practice. This book is not just a textbook, but a complete guide to the analysis of random processes, which will help to understand how randomness manifests itself in the world and how it can be worked. It is worthy of attention not only of students and teachers, but also of everyone who is interested in modern methods of data modeling and analysis. It raises important topics such as probabilistic models, methods of estimation and forecasting, as well as the application of theory in various fields - from economics and finance to engineering systems and biological processes. If you’re looking for a book that combines scientific rigor and practical utility, the Random Process Analysis Tutorial will be a great choice for you. This publication will help you not only understand the basic ideas and methods of analyzing random processes, but also learn how to apply them to solve real problems, which makes it a valuable tool in the arsenal of a modern specialist.