Skip to main content
SpringerLink
Log in

Random Sums and Branching Stochastic Processes

  • Book
  • © 1995

Overview

Authors:
  1. Ibrahim Rahimov

    1. The Institute of Mathematics, The Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan
      Department of Statistics, Middle East Technical University, Ankara, Turkey

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Introduction

    • Ibrahim Rahimov
    Pages 1-4

  3. Sums of a Random Number of Random Variables

    • Ibrahim Rahimov
    Pages 5-43

  4. Branching Processes with Generalized Immigration

    • Ibrahim Rahimov
    Pages 44-104

  5. Branching Processes with Time-Dependent Immigration

    • Ibrahim Rahimov
    Pages 105-155

  6. The Asymptotic Behavior of Families of Particles in the Branching Process

    • Ibrahim Rahimov
    Pages 156-184

  7. Back Matter

    Pages 185-195
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • The Institute of Mathematics, The Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan

    Ibrahim Rahimov

  • Department of Statistics, Middle East Technical University, Ankara, Turkey

    Ibrahim Rahimov

Bibliographic Information

  • Book Title: Random Sums and Branching Stochastic Processes

  • Authors: Ibrahim Rahimov

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-4216-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1995

  • Softcover ISBN: 978-0-387-94446-3Published: 06 January 1995

  • eBook ISBN: 978-1-4612-4216-1Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: VIII, 195

  • Topics: Probability Theory and Stochastic Processes

Publish with us

Policies and ethics

Back to top

Search

Navigation