Passage Times for Markov Chains
eBook - PDF

Passage Times for Markov Chains

  1. 560 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Passage Times for Markov Chains

About this book

This book is a survey of work on passage times in stable Markov chains with a discrete state space and a continuous time. Passage times have been investigated since early days of probability theory and its applications. The best known example is the first entrance time to a set, which embraces waiting times, busy periods, absorption problems, extinction phenomena, etc. Another example of great interest is the last exit time from a set. The book presents a unifying treatment of passage times, written in a systematic manner and based on modern developments. The appropriate unifying framework is provided by probabilistic potential theory, and the results presented in the text are interpreted from this point of view. In particular, the crucial role of the Dirichlet problem and the Poisson equation is stressed. The work is addressed to applied probalilists, and to those who are interested in applications of probabilistic methods in their own areas of interest. The level of presentation is that of a graduate text in applied stochastic processes. Hence, clarity of presentation takes precedence over secondary mathematical details whenever no serious harm may be expected. Advanced concepts described in the text gain nowadays growing acceptance in applied fields, and it is hoped that this work will serve as an useful introduction.

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Yes, you can access Passage Times for Markov Chains by R. Syski in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Title Page
  2. CONTENTS
  3. CHAPTER I. PRELIMINARIES
  4. CHAPTER II. ANALYTIC THEORY
  5. CHAPTER III. MEASURE THEORY
  6. CHAPTER IV. APPLICATIONS
  7. APPENDIX
  8. REFERENCES
  9. INDEX OF NAMES
  10. INDEX OF SYMBOLS
  11. INDEX OF SUBJECTS