Discrete Time Branching Processes in Random Environment
1st Edition
Published on 1. November 2017
306 pages
978-1-119-47377-0 (ISBN)
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.
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11/2017
Wiley
€173.48
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Goetz Kersting | Vladimir Vatutin
Discrete Time Branching Processes in Random Environment
Book
10/2017
1st Edition
Wiley-ISTE
€164.50
Shipment within 3-4 weeks
Persons
Götz Kersting is Professor at the Institute of Mathematics of Goethe University in Frankfurt am Main, Germany.
Vladimir Vatutin is a leading researcher at Steklov Mathematical Institute in Moscow, Russia.
Content
1. Branching Processes in Varying Environment. 2. Branching Processes in Random Environment. 3. Large Deviations for BPREs. 4. Properties of Random Walks. 5. Critical BPREs: the Annealed Approach. 6. Critical BPREs: the Quenched Approach. 7. Weakly Subcritical BPREs. 8. Intermediate Subcritical BPREs. 9. Strongly Subcritical BPREs. 10. Multi-type BPREs.
