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Random Sums and Branching Stochastic Processes

  • Ibrahim┬áRahimov

Part of the Lecture Notes in Statistics book series (LNS, volume 96)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Ibrahim Rahimov
    Pages 1-4
  3. Ibrahim Rahimov
    Pages 5-43
  4. Back Matter
    Pages 185-195

About this book

Introduction

The aim of this monograph is to show how random sums (that is, the summation of a random number of dependent random variables) may be used to analyse the behaviour of branching stochastic processes. The author shows how these techniques may yield insight and new results when applied to a wide range of branching processes. In particular, processes with reproduction-dependent and non-stationary immigration may be analysed quite simply from this perspective. On the other hand some new characterizations of the branching process without immigration dealing with its genealogical tree can be studied. Readers are assumed to have a firm grounding in probability and stochastic processes, but otherwise this account is self-contained. As a result, researchers and graduate students tackling problems in this area will find this makes a useful contribution to their work.

Keywords

Branching process Random variable Stochastic processes Variance stochastic process

Authors and affiliations

  • Ibrahim┬áRahimov
    • 1
    • 2
  1. 1.The Institute of MathematicsThe Academy of Sciences of the Republic of UzbekistanTashkentUzbekistan
  2. 2.Department of StatisticsMiddle East Technical UniversityAnkaraTurkey

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4216-1
  • Copyright Information Springer-Verlag New York 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94446-3
  • Online ISBN 978-1-4612-4216-1
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site
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