Titlebook: Branching Processes and Their Applications; Inés M. del Puerto,Miguel González,Alfonso Ramos Book 2016 Springer International Publishing S

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Coalescence in Branching Processesng without replacement. Trace their lines of descent back in time till they meet. Call that generation ... In this paper we present results on the exact distribution of .. and its limit as . goes to infinity for the single type discrete case. We consider four cases: explosive (mean infinity), superc

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Some Asymptotic Results for Strongly Critical Branching Processes with Immigration in Varying Enviroes to 1 fast enough. Under natural assumptions a diffusion approximation is derived when either the offspring or the immigration variances are strictly positive. In the case of asymptotically vanishing offspring variances a fluctuation limit theorem is proved.

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Supercritical Sevastyanov Branching Processes with Non-homogeneous Poisson Immigrationn is allowed at random time points described by a time-homogeneous Poisson process. In the present paper, we study a model generalized this process along two directions: Sevastyanov’s (Theory Probab Appl 9:577–594, 1964) age-dependent branching process and time-nonhomogeneous Poisson immigration. Th

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Crump-Mode-Jagers Branching Process: A Numerical Approachexpected future population age structure a large amount of renewal equations must be solved. This paper presents a numerical approach for projecting the population age structure and solving these renewal equations based on the theory of General Branching Processes. It is shown that the Leslie matrix