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A convergence theorem for parities in a birth-and-death process
Published online by Cambridge University Press: 14 July 2016
Abstract
The parity of an individual in a population process is the number of offspring that individual has produced. If Nk(t) is the number of individuals of parity k at time t in a birth-and-death process and we show that, conditional on N(t)→ ∞,
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