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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Format: | eBook |
Language: | English |
Published: |
Boston :
Birkhäuser,
1983.
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Series: | Progress in probability and statistics ;
v. 3. |
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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.