Branching Processes

Hering Asmussen Hering Asmussen

ISBN 10: 0817631224 / ISBN 13: 9780817631222

Editore: Springer, 1983

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pp. 472.

Codice articolo 2697509500

Dati bibliografici

• Titolo: Branching Processes
• Editore: Springer
• Data di pubblicazione: 1983
• Lingua: Inglese
• ISBN 10: 0817631224
• ISBN 13: 9780817631222
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

Part C deals with the limit theory of Il!arkov branching processes with a general set of types under conditions tailored to (multigroup) branching diffusions on bounded domains, a setting which also covers the ordinary multitype case.

Contenuti

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.