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Random Sums and Branching Stochastic Processes

Name: Random Sums and Branching Stochastic Processes
Brand: Springer-Verlag New York Inc.
SKU: 01384049
Price: 101.79 EUR
Availability: InStock
Author: Ibrahim Rahimov
ISBN: 9780387944463

Ibrahim Rahimov

Language

English

Book Paperback

Libristo code: 01384049

Publishers Springer-Verlag New York Inc., January 1995

The aim of this monograph is to show how random sums (that is, the summation of a random number of d... Full description

Libristo code: 01384049

249 b

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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.