Branching Processes
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 s...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
1983, 1983
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| Edition: | 1st ed. 1983 |
| Series: | Progress in Probability
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
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