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- catalog abstract "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.".
- catalog contributor b7548916.
- catalog created "c1995.".
- catalog date "1995".
- catalog date "c1995.".
- catalog dateCopyrighted "c1995.".
- catalog description "Includes bibliographical references (p. [185]-193) and index.".
- catalog 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.".
- catalog extent "195 p. ;".
- catalog identifier "038794446X (acid-free paper)".
- catalog isPartOf "Lecture notes in statistics (Springer-Verlag) ; v. 96.".
- catalog isPartOf "Lecture notes in statistics ; 96".
- catalog issued "1995".
- catalog issued "c1995.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog subject "519.2/34 20".
- catalog subject "Branching processes.".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Mathematics.".
- catalog subject "QA274.76 .R34 1995".
- catalog subject "Random variables.".
- catalog subject "Sequences (Mathematics)".
- catalog title "Random sums and branching stochastic processes / Ibrahim Rahimov.".
- catalog type "text".