Discrete Time Branching Processes in Random Environment

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book Discrete Time Branching Processes in Random Environment by Götz Kersting, Vladimir Vatutin, Wiley
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Author: Götz Kersting, Vladimir Vatutin ISBN: 9781119473558
Publisher: Wiley Publication: October 30, 2017
Imprint: Wiley-ISTE Language: English
Author: Götz Kersting, Vladimir Vatutin
ISBN: 9781119473558
Publisher: Wiley
Publication: October 30, 2017
Imprint: Wiley-ISTE
Language: English

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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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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