Supercritical Multitype Branching Processes
نویسندگان
چکیده
منابع مشابه
Supercritical multitype branching processes: the ancestral types of typical individuals
For supercritical multitype Markov branching processes in continuous time, we investigate the evolution of types along those lineages that survive up to some time t. We establish almost-sure convergence theorems for both time and population averages of ancestral types (conditioned on non-extinction), and identify the mutation process describing the type evolution along typical lineages. An impo...
متن کاملSupercritical Multitype Branching Processes in Continuous Time: the Ancestral Types of Typical Individuals
For supercritical multitype branching processes in continuous time, we investigate the evolution of types along those lineages that survive up to some time t. We establish almost-sure convergence theorems for both time and population averages of ancestral types (conditioned on non-extinction), and identify the mutation process describing the type evolution along typical lineages. An important t...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1976
ISSN: 0091-1798
DOI: 10.1214/aop/1176996088