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Titlebook: Nonlinearly Perturbed Semi-Markov Processes; Dmitrii Silvestrov,Sergei Silvestrov Book 2017 The Author(s) 2017 Semi-Markov Process.Markov

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发表于 2025-3-21 20:00:30 | 显示全部楼层 |阅读模式
书目名称Nonlinearly Perturbed Semi-Markov Processes
编辑Dmitrii Silvestrov,Sergei Silvestrov
视频videohttp://file.papertrans.cn/668/667795/667795.mp4
概述Contains an extended bibliography of works in the areas.Essential reference for theoretical and applied researchers.Allows use with mixed-level classes for doctoral and advanced undergraduate students
丛书名称SpringerBriefs in Probability and Mathematical Statistics
图书封面Titlebook: Nonlinearly Perturbed Semi-Markov Processes;  Dmitrii Silvestrov,Sergei Silvestrov Book 2017 The Author(s) 2017 Semi-Markov Process.Markov
描述.The book presents new methods of asymptotic analysis for nonlinearly perturbed semi-Markov processes with a finite phase space. These methods are based on special time-space screening procedures for sequential phase space reduction of semi-Markov processes combined with the systematical use of operational calculus for Laurent asymptotic expansions. Effective recurrent algorithms are composed for getting asymptotic expansions, without and with explicit upper bounds for remainders, for power moments of hitting times, stationary and conditional quasi-stationary distributions for nonlinearly perturbed semi-Markov processes. These results are illustrated by asymptotic expansions for birth-death-type semi-Markov processes, which play an important role in various applications. The book will be a useful contribution to the continuing intensive studies in the area. It is an essential reference for theoretical and applied researchersin the field of stochastic processes and their applications that will contribute to continuing extensive studies in the area and remain relevant for years to come. .
出版日期Book 2017
关键词Semi-Markov Process; Markov Chain; Birth-death Process; Nonlinear Perturbation; Asymptotic Expansion
版次1
doihttps://doi.org/10.1007/978-3-319-60988-1
isbn_softcover978-3-319-60987-4
isbn_ebook978-3-319-60988-1Series ISSN 2365-4333 Series E-ISSN 2365-4341
issn_series 2365-4333
copyrightThe Author(s) 2017
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发表于 2025-3-22 00:02:02 | 显示全部楼层
Laurent Asymptotic Expansions,with explicit power-type upper bounds for remainders. In the former case, such rules should be possibly considered as generally known, while, in the latter case, asymptotic expansions have some novelty aspects.
发表于 2025-3-22 01:21:31 | 显示全部楼层
发表于 2025-3-22 07:47:07 | 显示全部楼层
Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes,h finite phase spaces are presented. These algorithms are based on the technique of sequential phase space reduction, which can be applied to processes with an arbitrary asymptotic communicative structure of phase spaces. Asymptotic expansions are given in two forms, without and with explicit upper
发表于 2025-3-22 09:10:34 | 显示全部楼层
as a directed graph and an adjacency matrix. Especially detailed features of networks concerned with the automobile industry sector are discussed by using the visualized networks. The shareholding network is also considered as an undirected graph, because many quantities characterizing networks are
发表于 2025-3-22 16:30:23 | 显示全部楼层
Dmitrii Silvestrov,Sergei Silvestrovlso requires understanding how individuals interact with each other, and how the agg- gated outcome can be more than the sum of individual behaviors. This book contains the papers fostering the formation of an active multi-disciplinary community on socio-economic systems with the exciting new ?elds
发表于 2025-3-22 18:57:10 | 显示全部楼层
Dmitrii Silvestrov,Sergei Silvestrovas a directed graph and an adjacency matrix. Especially detailed features of networks concerned with the automobile industry sector are discussed by using the visualized networks. The shareholding network is also considered as an undirected graph, because many quantities characterizing networks are
发表于 2025-3-22 22:16:14 | 显示全部楼层
Dmitrii Silvestrov,Sergei Silvestrovas a directed graph and an adjacency matrix. Especially detailed features of networks concerned with the automobile industry sector are discussed by using the visualized networks. The shareholding network is also considered as an undirected graph, because many quantities characterizing networks are
发表于 2025-3-23 04:04:03 | 显示全部楼层
Dmitrii Silvestrov,Sergei Silvestrovinancial terms, the trust, and the responsibilities to maintain and satisfy that trust, are not necessarily limited to monetary activities and transactions, but represent a broad concept of interdependency and support. Typically, there is a disparity in power or expertise for any fiduciary relations
发表于 2025-3-23 06:38:07 | 显示全部楼层
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