Stochastic equations and limit results for some two-type branching models

Ingemar Kaj and Daniah Tahir

Statistics & Probability Letters, 2019, vol. 150, issue C, 35-46

Abstract: A class of binary state, asymmetric, continuous time Markov branching processes are analyzed under supercritical conditions. Stochastic equations are provided, and limit results for the long time asymptotics as well as for the behavior of the model under rescaling are reviewed. Extensions are presented for model variations, such as population size dependence, with the purpose of promoting further use of these models for applications.

Keywords: Continuous time branching process; Asymmetric model; Population size dependence; Functional limit theory; Central limit theory (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.spl.2019.02.011

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