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Titlebook: Introduction to Markov Chains; With Special Emphasi Ehrhard Behrends Textbook 2000 Springer Fachmedien Wiesbaden 2000 Counting.Finite.Marko

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发表于 2025-3-21 19:03:19 | 显示全部楼层 |阅读模式
书目名称Introduction to Markov Chains
副标题With Special Emphasi
编辑Ehrhard Behrends
视频video
概述Aktuelles aus der Theorie der Markovketten
丛书名称Advanced Lectures in Mathematics
图书封面Titlebook: Introduction to Markov Chains; With Special Emphasi Ehrhard Behrends Textbook 2000 Springer Fachmedien Wiesbaden 2000 Counting.Finite.Marko
描述The aims of this book are threefold:.We start with a naive description of a Markov chain as a memoryless random walk on a finite set. This is complemented by a rigorous definition in the framework of probability theory, and then we develop the most important results from the theory of homogeneous Markov chains on finite state spaces..Chains are called rapidly mixing if all of the associated walks, regardles of where they started, behave similarly already after comparitively few steps: it is impossible from observing the chain to get information on the starting position or the number of steps done so far. We will thoroughly study methods which have been proposed in the last decades to investigate this phenomenon..A number of examples will be studied to indicate how the methods treated in this book can be applied..
出版日期Textbook 2000
关键词Counting; Finite; Markowsche Kette; Mathematische Statistik; Wahrscheinlichkeitstheorie; calculus
版次1
doihttps://doi.org/10.1007/978-3-322-90157-6
isbn_softcover978-3-528-06986-5
isbn_ebook978-3-322-90157-6Series ISSN 0932-7134 Series E-ISSN 2512-7039
issn_series 0932-7134
copyrightSpringer Fachmedien Wiesbaden 2000
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The fundamental notions in connection with Markov chainse difficult to find the relevant notions which enable one to study — sometimes even to completely classify — the new objects. Examples are very rare where this has been achieved by a single mathematician. Generally it takes years or decades where many suggestions are under consideration, where it tu
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Rapid mixing: a first approachns in each row the equilibrium distribution? The structure of . has been described in the last chapter, and from this description it follows that the rate of convergence to . will depend on the number . which is known to be smaller than one.
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Markov chains on finite groups I (commutative groups)th equal probability go to . + 1 mod . or to . - 1 mod .” (on {0,..., .-1}). In a group it is possible to move from a state . to a new position by composing . with the elements . of the group, where . is chosen in accordance with a certain probability law which is . (in the preceding example +1 and
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Ehrhard Behrendsen.Anregung zum eigenständigen empirischen ArbeitenDas Buch liefert eine moderne und anwendungsorientierte Einführung in ökonometrische Methoden für Studierende der Wirtschaftswissenschaften. Anhand einfacher, origineller Anwendungen aus verschiedenen Gebieten, wie etwa Wirtschaftsgeschichte, Humank
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Ehrhard Behrendsen.Anregung zum eigenständigen empirischen ArbeitenDas Buch liefert eine moderne und anwendungsorientierte Einführung in ökonometrische Methoden für Studierende der Wirtschaftswissenschaften. Anhand einfacher, origineller Anwendungen aus verschiedenen Gebieten, wie etwa Wirtschaftsgeschichte, Humank
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