© 1981

Non-negative Matrices and Markov Chains


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

Table of contents

  1. Front Matter
    Pages i-xv
  2. Finite Non-Negative Matrices

  3. Countable Non-Negative Matrices

    1. Front Matter
      Pages 159-159
    2. E. Seneta
      Pages 161-198
    3. E. Seneta
      Pages 199-220
  4. Back Matter
    Pages 245-281

About this book


This book is a photographic reproduction of the book of the same title published in

1981, for which there has been continuing demand on account of its accessible technical level. Its appearance also helped generate considerable subsequent work on inhomogeneous products of matrices. This printing adds an additional bibliography on coefficients of ergodicity and a list of corrigenda.

Eugene Seneta received his Ph.D. in 1968 from the Australian National University. He left Canberra in 1979 to become Professor and Head of the Department of Mathematical Statistics at the University of Sydney. He has been a regular visitor to the United States, most frequently to the University of Virginia. Now Emeritus Professor at the University of Sydney, he has recently developed a renewed interest in financial mathematics. He was elected Fellow of the Australian Academy of Science in 1985 and awarded the Pitman Medal of the Statistical Society of Australia for his distinguished research contributions.

The first edition of this book, entitled Non-Negative Matrices, appeared in 1973, and was followed in 1976 by his Regularly Varying Functions in the Springer Lecture Notes in Mathematics, later translated into Russian. Both books were pioneering in their fields. In 1977, Eugene Seneta coauthored (with C. C. Heyde ) I.J. Bienaymé : Statistical Theory Anticipated, which is effectively a history of probability and statistics in the 19th century, and in 2001 co-edited with the same colleague Statisticians of the Centuries, both published by Springer. Having served on the editorial board of the Encyclopedia of Statistical Science, he is currently Joint Editor of the International Statistical Review.


Markov chain Markowsche Kette Matrices Nichtnegative Matrix ergodicity mathematical statistics statistics

Authors and affiliations

  1. 1.Department of Mathematical StatisticsThe University of SydneySydneyAustralia

Bibliographic information

  • Book Title Non-negative Matrices and Markov Chains
  • Authors E. Seneta
  • Series Title Springer Series in Statistics
  • DOI
  • Copyright Information Springer Science+Business Media New York 1981
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-90598-3
  • Softcover ISBN 978-0-387-29765-1
  • eBook ISBN 978-0-387-32792-1
  • Series ISSN 0172-7397
  • Edition Number 2
  • Number of Pages XV, 281
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published by Allen & Unwin Ltd., London, 1973
  • Topics Statistical Theory and Methods
    Probability Theory and Stochastic Processes
  • Buy this book on publisher's site
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