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Random Sums and Branching Stochastic Processes. Softcover reprint of the original 1st ed. 1995.
・ISBN 978-0-387-94446-3 paper EUR 99.99
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| 著者・編者 | Rahimov, Ibrahim, |
|---|---|
| シリーズ | Lecture Notes in Statistics |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 1995 |
| ページ数 | 195 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-17191＞ |
解説
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.