Workshop on Branching Processes and Their Applications

✍ Scribed by Vladimir Vatutin (auth.), Miguel González Velasco, Inés M. Puerto, Rodrigo Martínez, Manuel Molina, Manuel Mota, Alfonso Ramos (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2010
• Tongue: English
• Leaves: 302
• Series: Lecture Notes in Statistics 197
• Edition: 1
• Category: Library

✦ Synopsis

This volume contains papers presented at the Workshop on Branching Processes and Their Applications (WBPA09). These papers deal with theoretical and practical aspects of branching process theory, showing it to be an area of active and interesting research. They clearly indicate the vitality of the theoretical research on this topic, as well as the importance of branching concepts in the development of theoretical approaches to solving new problems in applied fields such as Epidemiology, Cell Kinetics, Genetics, and, of course, Population Dynamics. The topics covered by the papers have been classified into the following areas:

• Population Growth Models in Random and Varying Environments
• Special Branching Processes
• Limit Theorems and Statistics
• Applications in Cell Kinetics and Genetics
• Applications in Epidemiology
• Two-Sex Branching Models

This book represents a valuable reference on the contemporary branching processes theory, presenting also many open problems which will lead to future research.

✦ Table of Contents

Front Matter....Pages i-xix
Front Matter....Pages 1-1
A refinement of limit theorems for the critical branching processes in random environment....Pages 3-19
Branching processes in stationary random environment: The extinction problem revisited....Pages 21-36
Environmental versus demographic stochasticity in population growth....Pages 37-52
Stationary distributions of the alternating branching processes....Pages 53-67
Front Matter....Pages 69-69
Approximations in population-dependent branching processes....Pages 71-78
Extension of the problem of extinction on Galton–Watson family trees....Pages 79-94
Limit theorems for critical randomly indexed branching processes....Pages 95-108
Renewal measure density for distributions with regularly varying tails of order a α ∈ (0,½]....Pages 109-118
Front Matter....Pages 119-119
Approximation of a sum of martingale differences generated by a bootstrap branching process....Pages 121-133
Critical branching processes with immigration....Pages 135-146
Weighted conditional least squares estimation in controlled multitype branching processes....Pages 147-155
Front Matter....Pages 157-157
Branching processes in cell proliferation kinetics....Pages 159-178
Griffiths–Pakes branching process as a model for evolution of Alu elements....Pages 179-189
Parametric inference for Y-linked gene branching models: Expectation-maximization method....Pages 191-204
Front Matter....Pages 205-205
Applications of branching processes to the final size of SIR epidemics....Pages 207-223
A branching process approach for the propagation of the Bovine Spongiform Encephalopathy in Great-Britain....Pages 225-240
Time to extinction of infectious diseases through age-dependent branching models....Pages 241-256
Time to extinction in a two-host interaction model for the macroparasite Echinococcus granulosus ....Pages 257-266
Front Matter....Pages 267-267
Bisexual branching processes with immigration depending on the number of females and males....Pages 269-277
Two-sex branching process literature....Pages 279-293
Back Matter....Pages 1-2

✦ Subjects

Statistical Theory and Methods; Probability Theory and Stochastic Processes; Statistics for Life Sciences, Medicine, Health Sciences