Random sums and branching stochastic processes
By: Ibrahim Rahimov.
Series: Lecture notes in statistics ;; 96; Lecture notes in statistics (Springer-Verlag) ;; v. 96.
Publisher: Springer-Verlag
Published: 1995
Place of publication: New York
Language: eng
Number of pages: 195
Subjects: Branching processes.; Sequences (Mathematics); Random variables.
Description: 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.
Notes: Includes bibliographical references (p. [185]-193) and index.