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Non-negative Matrices and Markov Chains

  • Book
  • © 1981

Overview

Authors:
  1. E. Seneta

    1. Department of Mathematical Statistics, The University of Sydney, Sydney, Australia

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  • Offers a photographic reproduction of this still-relevant text, first published in 1981
  • Continually in demand since first published, the book is offered for the first time in paperback
  • This edition includes an additional bibliography on coefficients of ergodicity and a list of corrigenda

Part of the book series: Springer Series in Statistics (SSS)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xv
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  3. Countable Non-Negative Matrices

    1. Front Matter

      Pages 159-159
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    2. Countable Stochastic Matrices

      • E. Seneta
      Pages 161-198

    3. Countable Non-negative Matrices

      • E. Seneta
      Pages 199-220

    4. Truncations of Infinite Stochastic Matrices

      • E. Seneta
      Pages 221-244

  4. Back Matter

    Pages 245-281
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Keywords

About this book

Since its inception by Perron and Frobenius, the theory of non-negative matrices has developed enormously and is now being used and extended in applied fields of study as diverse as probability theory, numerical analysis, demography, mathematical economics, and dynamic programming, while its development is still proceeding rapidly as a branch of pure mathematics in its own right. While there are books which cover this or that aspect of the theory, it is nevertheless not uncommon for workers in one or another branch of its development to be unaware of what is known in other branches, even though there is often formal overlap. One of the purposes of this book is to relate several aspects of the theory, insofar as this is possible. The author hopes that the book will be useful to mathematicians; but in particular to the workers in applied fields, so the mathematics has been kept as simple as could be managed. The mathematical requisites for reading it are: some knowledge of real-variable theory, and matrix theory; and a little knowledge of complex-variable; the emphasis is on real-variable methods. (There is only one part of the book, the second part of 55.5, which is of rather specialist interest, and requires deeper knowledge.) Appendices provide brief expositions of those areas of mathematics needed which may be less g- erally known to the average reader.

Authors and Affiliations

  • Department of Mathematical Statistics, The University of Sydney, Sydney, Australia

    E. Seneta

Bibliographic Information

  • Book Title: Non-negative Matrices and Markov Chains

  • Authors: E. Seneta

  • Series Title: Springer Series in Statistics

  • DOI: https://doi.org/10.1007/0-387-32792-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1981

  • Softcover ISBN: 978-0-387-29765-1Published: 26 January 2006

  • eBook ISBN: 978-0-387-32792-1Published: 02 July 2006

  • Series ISSN: 0172-7397

  • Series E-ISSN: 2197-568X

  • Edition Number: 2

  • Number of Pages: XV, 281

  • Additional Information: Originally published by Allen & Unwin Ltd., London, 1973

  • Topics: Statistical Theory and Methods, Probability Theory and Stochastic Processes

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