Discrete Time Branching Processes in Random Environment (Mathematics and Statistics)

Discrete Time Branching Processes in Random Environment (Mathematics and Statistics)

Discrete Time Branching Processes in Random Environment (Mathematics and Statistics)

by: Götz Kersting (Author), Vladimir Vatutin (Author)

Publisher: Wiley-ISTE

Edition: 1st

Publication Date: 2017-11-29

Language: English

Print Length: 320 pages

ISBN-10: 1786302527

ISBN-13: 9781786302526

Book Description

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.

Editorial Reviews

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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