Advertisement

Table of contents

  1. Front Matter
    Pages i-xii
  2. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 1-39
  3. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 40-57
  4. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 58-78
  5. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 79-105
  6. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 106-129
  7. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 130-165
  8. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 166-190
  9. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 191-240
  10. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 241-322
  11. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 323-400
  12. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
    Pages 401-424
  13. David Griffeath
    Pages 425-458
  14. Back Matter
    Pages 459-484

About this book

Introduction

With the first edition out of print, we decided to arrange for republi­ cation of Denumerrible Markov Ohains with additional bibliographic material. The new edition contains a section Additional Notes that indicates some of the developments in Markov chain theory over the last ten years. As in the first edition and for the same reasons, we have resisted the temptation to follow the theory in directions that deal with uncountable state spaces or continuous time. A section entitled Additional References complements the Additional Notes. J. W. Pitman pointed out an error in Theorem 9-53 of the first edition, which we have corrected. More detail about the correction appears in the Additional Notes. Aside from this change, we have left intact the text of the first eleven chapters. The second edition contains a twelfth chapter, written by David Griffeath, on Markov random fields. We are grateful to Ted Cox for his help in preparing this material. Notes for the chapter appear in the section Additional Notes. J.G.K., J.L.S., A.W.K.

Keywords

Brownian motion Chains Markov Markov chain Markov property Martingale Random Walk Random variable Stochastic processes measure theory stochastic process

Authors and affiliations

  • John G. Kemeny
    • 1
  • J. Laurie Snell
    • 2
  • Anthony W. Knapp
    • 3
  1. 1.Dartmouth CollegeHanoverGermany
  2. 2.Department of MathematicsDartmouth CollegeHanoverGermany
  3. 3.Department of MathematicsState University of New YorkStony BrookUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-9455-6
  • Copyright Information Springer-Verlag New York 1976
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-9457-0
  • Online ISBN 978-1-4684-9455-6
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site