Workshop on Branching Processes and Their Applications

ISBN: 978-3-642-11154-9 (Print) 978-3-642-11156-3 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xix

  2. Population Growth Models in Random and Varying Environments

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-19

      A refinement of limit theorems for the critical branching processes in random environment

    3. No Access

      Book Chapter

      Pages 21-36

      Branching processes in stationary random environment: The extinction problem revisited

    4. No Access

      Book Chapter

      Pages 37-52

      Environmental versus demographic stochasticity in population growth

    5. No Access

      Book Chapter

      Pages 53-67

      Stationary distributions of the alternating branching processes

  3. Special Branching Processes

    1. Front Matter

      Pages 69-69

    2. No Access

      Book Chapter

      Pages 71-78

      Approximations in population-dependent branching processes

    3. No Access

      Book Chapter

      Pages 79-94

      Extension of the problem of extinction on Galton–Watson family trees

    4. No Access

      Book Chapter

      Pages 95-108

      Limit theorems for critical randomly indexed branching processes

    5. No Access

      Book Chapter

      Pages 109-118

      Renewal measure density for distributions with regularly varying tails of order a α ∈ (0,½]

  4. Limit Theorems and Statistics

    1. Front Matter

      Pages 119-119

    2. No Access

      Book Chapter

      Pages 121-133

      Approximation of a sum of martingale differences generated by a bootstrap branching process

    3. No Access

      Book Chapter

      Pages 135-146

      Critical branching processes with immigration

    4. No Access

      Book Chapter

      Pages 147-155

      Weighted conditional least squares estimation in controlled multitype branching processes

  5. Applications in Cell Kinetics and Genetics

    1. Front Matter

      Pages 157-157

    2. No Access

      Book Chapter

      Pages 159-178

      Branching processes in cell proliferation kinetics

    3. No Access

      Book Chapter

      Pages 179-189

      Griffiths–Pakes branching process as a model for evolution of Alu elements

    4. No Access

      Book Chapter

      Pages 191-204

      Parametric inference for Y-linked gene branching models: Expectation-maximization method

  6. Applications in Epidemiology

    1. Front Matter

      Pages 205-205

    2. No Access

      Book Chapter

      Pages 207-223

      Applications of branching processes to the final size of SIR epidemics

    3. No Access

      Book Chapter

      Pages 225-240

      A branching process approach for the propagation of the Bovine Spongiform Encephalopathy in Great-Britain

    4. No Access

      Book Chapter

      Pages 241-256

      Time to extinction of infectious diseases through age-dependent branching models

    5. No Access

      Book Chapter

      Pages 257-266

      Time to extinction in a two-host interaction model for the macroparasite Echinococcus granulosus

  7. Two-sex Branching Models

    1. Front Matter

      Pages 267-267

    2. No Access

      Book Chapter

      Pages 269-277

      Bisexual branching processes with immigration depending on the number of females and males

    3. No Access

      Book Chapter

      Pages 279-293

      Two-sex branching process literature

  8. Back Matter

    Pages 1-2