Strong Stable Markov Chains
Author:   N.V. Kartashov
Publisher:   Brill
ISBN:  

9789067642057


Pages:   138
Publication Date:   August 1996
Recommended Age:   College Graduate Student
Format:   Hardback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Strong Stable Markov Chains


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Overview

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. This monograph presents a new approach to the investigation of ergodicity and stability problems for homogeneous Markov chains with a discrete-time and with values in a measurable space. The main purpose of this book is to highlight various methods for the explicit evaluation of estimates for convergence rates in ergodic theorems and in stability theorems for wide classes of chains. These methods are based on the classical perturbation theory of linear operators in Banach spaces and give new results even for finite chains. In the first part of the book, the theory of uniform ergodic chains with respect to a given norm is developed. In the second part of the book the condition of the uniform ergodicity is removed.

Full Product Details

Author:   N.V. Kartashov
Publisher:   Brill
Imprint:   VSP International Science Publishers
Dimensions:   Width: 16.50cm , Height: 1.30cm , Length: 24.00cm
Weight:   0.380kg
ISBN:  

9789067642057


ISBN 10:   9067642053
Pages:   138
Publication Date:   August 1996
Recommended Age:   College Graduate Student
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Preface CHAPTER I Uniformly ergodic and strong stable Markov chains CHAPTER II Criteria for the uniform ergodicity. Its properties CHAPTER III Uniform estimates of convergence in ergodic and stability theorems CHAPTER IV Asymptotic expansions in ergodic and stability theorems CHAPTER V Strong stability and induced norm of perturbation CHAPTER VI Uniform consolidation theorems CHAPTER VII Estimates of exponential asymptotics of Markov moments CHAPTER VIII Stability of waiting times in a queueing system CHAPTER IX Inequalities in Renyi's theorem CHAPTER X Bibliographical notes References

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