A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes
论文引用
Limit theorems for discrete multitype branching processes counted with a characteristic

For a multitype Galton-Watson tree T, we consider the associated Crump-ModeJagers (CMJ) process (Z n )n∈N which counts all individuals in T, and the contribution of each individual to Z n is determine...

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Abstract The weighted branching process is a natural extension of branching processes. Branching processes count only individuals, weighted branching processes give every individual an abstract weight...

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A branching process in a Markovian environment consists of an irreducible Markov chain on a set of “environments” together with an offspring distribution for each environment. At each time step the ch...

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