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Titlebook: Markov Chains; Randal Douc,Eric Moulines,Philippe Soulier Textbook 2018 Springer Nature Switzerland AG 2018 Markov Chains.Geometric Ergodi

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書目名稱Markov Chains
編輯Randal Douc,Eric Moulines,Philippe Soulier
視頻videohttp://file.papertrans.cn/625/624613/624613.mp4
概述Includes many results which are published for the first time in a textbook.Many results are illustrated with simple examples.Provides an accessible presentation of important ergodicity results of gene
叢書名稱Springer Series in Operations Research and Financial Engineering
圖書封面Titlebook: Markov Chains;  Randal Douc,Eric Moulines,Philippe Soulier Textbook 2018 Springer Nature Switzerland AG 2018 Markov Chains.Geometric Ergodi
描述.This book covers the classical theory of Markov chains on general state-spaces as well as many recent developments. The theoretical results are illustrated by simple examples, many of which are taken from Markov Chain Monte Carlo methods. The book is self-contained, while all the results are carefully and concisely proven. Bibliographical notes are added at the end of each chapter to provide an overview of the literature. ..Part I lays the foundations of the theory of Markov chain on general states-space. Part II covers the basic theory of irreducible Markov chains on general states-space, relying heavily on regeneration techniques. These two parts can serve as a text on general state-space applied Markov chain theory. Although the choice of topics is quite different from what is usually covered, where most of the emphasis is put on countable state space, a graduate student should be able to read almost all these developments without any mathematical background deeperthan that needed to study countable state space (very little measure theory is required). ..Part III?covers advanced topics on the theory of irreducible Markov chains. The emphasis is on geometric and subgeometric con
出版日期Textbook 2018
關(guān)鍵詞Markov Chains; Geometric Ergodicity; Ergodic Theory; Markov Property; Potential Theory; Operator Theory; L
版次1
doihttps://doi.org/10.1007/978-3-319-97704-1
isbn_ebook978-3-319-97704-1Series ISSN 1431-8598 Series E-ISSN 2197-1773
issn_series 1431-8598
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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Martingales, Harmonic Functions and Poisson–Dirichlet Problemsction ., and Theorem . establishes links between these functions and the return (or hitting) times to the set .. In Section ., we introduce the potential kernel and prove the maximum principle, Theorem ., which will be very important in the study of recurrence and transience throughout Part II.
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Splitting Construction and Invariant Measures, in particular for the existence and characterization of invariant measures. These results cannot be used if the state space does not admit an atom, which is the most frequent case for Markov kernels on a general state space.
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Rates of Convergence for Atomic Markov Chains atomic Markov chain to its invariant distribution. We will go beyond the geometric and polynomial rates of convergence considered in Section .. In Section ., we will introduce general subgeometric rates, which include the polynomial rate.
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https://doi.org/10.1007/978-3-319-97704-1Markov Chains; Geometric Ergodicity; Ergodic Theory; Markov Property; Potential Theory; Operator Theory; L
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