Discrete Time Branching Processes in Random Environment

by Gotz Kersting , Vladimir Vatutin

Book Details

Format Hardback or Cased Book

ISBN-10 1786302527

ISBN-13 9781786302526

Publisher ISTE Ltd and John Wiley & Sons Inc

Imprint ISTE Ltd and John Wiley & Sons Inc

Country of Manufacture US

Country of Publication GB

Publication Date Oct 10th, 2017

Print length 320 Pages

Weight 578 grams

Dimensions 16.60 x 24.40 x 2.30 cms

Product Classification: Mathematical modelling Stochastics

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Branching processes are stochastic processes which represent the reproduction of particles, such as individuals within a population, and thereby model demographic stochasticity. In branching processes in random environment (BPREs), additional environmental stochasticity is incorporated, meaning that the conditions of reproduction may vary in a random fashion from one generation to the next. This book offers an introduction to the basics of BPREs and then presents the cases of critical and subcritical processes in detail, the latter dividing into weakly, intermediate, and strongly subcritical regimes.

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