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Ergodic Behavior of Markov Processes on Hardback by Alexei Kulik
Ergodic Behavior of Markov Processes on Hardback by Alexei Kulik
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Ergodic Behavior of Markov Processes

With Applications to Limit Theorems
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Description

The general topic of this book is the ergodic behavior of Markov processes. A detailed introduction to methods for proving ergodicity and upper bounds for ergodic rates is presented in the first part of the book, with the focus put on weak ergodic rates, typical for Markov systems with complicated structure. The second part is devoted to the application of these methods to limit theorems for functionals of Markov processes. The book is aimed at a wide audience with a background in probability and measure theory. Some knowledge of stochastic processes and stochastic differential equations helps in a deeper understanding of specific examples. Contents　 Part I: Ergodic Rates for Markov Chains and Processes Markov Chains with Discrete State Spaces General Markov Chains: Ergodicity in Total Variation MarkovProcesseswithContinuousTime Weak Ergodic Rates Part II: Limit Theorems The Law of Large Numbers and the Central Limit Theorem Functional Limit Theorems

Author Biography:

Alexei Kulik, National Academy of Sciences, Ukraine.
Release date Australia
November 23rd, 2017
Author
Audiences
  • Professional & Vocational
  • Professional & Vocational
Illustrations
30 Illustrations, black and white
Pages
267
Dimensions
170x244x16
ISBN-13
9783110458701
Product ID
26735247

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