Titlebook: Branching Processes; Proceedings of the F C. C. Heyde Conference proceedings 1995 Springer-Verlag New York, Inc. 1995 Branching process.Bro

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臨時(shí)抱佛腳

7.2.1.5.2.2 Fe-Ni-Al alloy system,Let .. be a Galton-Watson process in varying environments. Under a condition which ensures that the process dies out almost surely we give asymptotic formulae for .(.. > 0).

Encumber

7.2.1.5.1 General introduction,We review some results on: long-time behavior of multitype branching particle systems and related systems of non-linear partial differential equations in the critical case, the high-density limit of such particle systems known as (multitype) measure branching process, Dawson-Watanabe process, or superprocess, and the demographic variation process.

過(guò)于平凡

Age-Dependent Branching Processes with State-Dependent ImmigrationWe consider a model of Bellman-Harris branching processes with immigration only in the state zero (BHIO) which permits in addition an immigration component of i.i.d. BHIO processes entering the population at i.i.d. times of an independent renewal process (BHIOR). Asymptotic properties and limit theorems are proved in non-critical cases.

Insensate

craving

諂媚于性

Theophile Theophanides,Jane Anastassopoulou key to the convergence in probability of suitably normed branching processes is a law of large numbers for a triangular array of independent random variables. Criteria for convergence together with characterisations of the norming constants and limiting distributions follow from this property. The

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天賦

https://doi.org/10.1007/978-3-8348-2407-3he Galton-Watson process. We discuss some basic results concerning the possible asymptotic behaviour of {..} as . → ∞ and examine some examples in the case when . a.s., which corresponds to the “critical” case for Galton-Watson processes.

FOR

https://doi.org/10.1007/978-3-8348-2407-3, as . → ∞, where the process . are defined, as a number of particles in the entire process . with the life-length of more then or equal to .) are discussed. These include asymptotics of non-extinction probabilities, convergence of deviations probabilities for .(.) (existence of a limit . for some f