Branching processes / S. Asmussen, H. Hering.

Branching processes form one of the classical fields of applied probability and are still an active area of research. The field has by now grown so large and diverse that a complete and unified treat ment is hardly possible anymore, let alone in one volume. So, our aim here has been to single out so...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Asmussen, Søren
Other Authors: Hering, H. (Heinrich), 1940-
Format: eBook
Language:English
Published: Boston : Birkhäuser, 1983.
Series:Progress in probability and statistics ; v. 3.
Subjects:
Table of Contents:
  • I: Branching phenomena and models
  • II: The Galton-Watson process: Probabilistic methods
  • III: The Galton-Watson process: Analytic methods
  • IV: Continuous time Markov branching processes
  • V: Foundations
  • VI: Limit theory for subcritical and critical processes
  • VII: Basic limit theory for supercritical processes
  • VIII: More on the limiting behaviour of linear functionals
  • IX: Unbounded domains
  • X: Generalized age-dependence and random characteristics
  • XI: Two-sex models
  • 1. The conditional Borel-Cantelli lemma
  • 2. Martingale convergence theorems
  • 3. Uniform integrability
  • 4. Series with independent terms
  • 5. Summation by parts
  • 6. Maximal inequalities
  • 7. Results related to the LIL
  • 8. The martingale CLT
  • 9. The Croft-Kingman lemma
  • 10. Results related to the LNN
  • 11. A result of Anscombe-Renyi type
  • 12. A weak LLN rate of convergence result
  • 13. Slowly or regularly varying functions
  • 14. Tauberian theorems
  • References.