Branching processes. II

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1987 English Publisher:Springer Science and Business Media LLCJournal:Journal of Soviet Mathematics, volume 67, pages 3,407-3,485 (issn: 0090-4104, eissn: 1573-8795,

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Authors: Vatutin, V. A.; Zubkov, A. M.;

doi: 10.1007/bf01096272 , 10.1007/bf01086176

Branching processes. II

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Abstract

This is a survey article of that literature of classical branching process theory which has appeared since \textit{B. A. Sevast'yanov}'s survey in ibid. 1968, 5-48 (1968; Zbl 0196.189). By ''classical'' is meant: a finite number of types, independence of evolutionary lines, reproduction law homogeneous through time. (A sequel will deal with more complex processes.) It is fitting that this survey is written by two of the leading Russian workers of the younger generation. The survey is very thorough, with 497 entries. Sevast'janov's article contained 197 entries.

Keywords

statistics of branching processes, survey article, Branching processes (Galton-Watson, birth-and-death, etc.), Central limit and other weak theorems, transformation depending on the age of particles, Research exposition (monographs, survey articles) pertaining to probability theory, branching process

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