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Non-Stationary Stochastic Processes Estimation Vector Stationary Increments, Periodically Stationary Multi-Seasonal Increments - Maksym Luz, Mikhail Moklyachuk 2024 EPUB de Gruyter BOOKS
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Non-Stationary Stochastic Processes Estimation Vector Stationary Increments, Periodically Stationary Multi-Seasonal Increments
Author: Maksym Luz, Mikhail Moklyachuk
Year: 2024
Pages: 310
Format: EPUB
File size: 56,6 МБ
Language: ENG



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Long Description of the Book 'NonStationary Stochastic Processes Estimation Vector Stationary Increments Periodically Stationary MultiSeasonal Increments' In today's rapidly changing world, it is essential to understand the process of technology evolution and its impact on human society. The book "NonStationary Stochastic Processes Estimation Vector Stationary Increments Periodically Stationary MultiSeasonal Increments" provides a comprehensive framework for studying and analyzing this process, with a focus on the need and possibility of developing a personal paradigm for perceiving the technological process of developing modern knowledge as the basis for the survival of humanity and the survival of the unification of people in a warring state. The book begins by exploring the concept of nonstationary stochastic processes, which are statistical models that describe the evolution of complex systems over time. These processes are characterized by random fluctuations and changes in the system's behavior, making them challenging to analyze and predict. The author presents a novel approach to estimating these processes using vector stationary increments, which are based on the idea that the system's behavior can be represented as a set of linear transformations that preserve the stationarity of the process. This approach allows for the estimation of nonstationary processes in real-time, enabling the analysis of dynamic systems that are inherently nonstationary. The book then delves into the topic of periodically stationary multiseasonal increments, which are cycles of change that occur within the system over long periods of time.
Long Description of the Book 'NonStationary Stochastic Processes Estimation Vector Stationary Increments Periodically Stationary MultiSeasonal Increments'В современном быстро меняющемся мире важно понимать процесс эволюции технологий и его влияние на человеческое общество. Книга «Нестационарные стохастические процессы Оценка вектора стационарные приращения периодически стационарные многосезонные приращения» обеспечивает комплексную основу для изучения и анализа этого процесса, с упором на необходимость и возможность выработки личностной парадигмы восприятия технологического процесса развития современных знаний как основы выживания человечества и выживания объединения людей в воюющем государстве. Книга начинается с изучения концепции нестационарных стохастических процессов, представляющих собой статистические модели, описывающие эволюцию сложных систем с течением времени. Эти процессы характеризуются случайными колебаниями и изменениями в поведении системы, что затрудняет их анализ и прогнозирование. Автор представляет новый подход к оценке этих процессов с использованием векторных стационарных приращений, которые основаны на идее, что поведение системы можно представить в виде набора линейных преобразований, сохраняющих стационарность процесса. Этот подход позволяет оценивать нестационарные процессы в реальном времени, позволяя анализировать динамические системы, которые по своей природе нестационарны. Затем книга углубляется в тему периодически стационарных многосезонных приращений, которые представляют собой циклы изменений, происходящих в системе в течение длительных периодов времени.
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