Author:
Dolgopyat D.,Hebbar P.,Koralov L.,Perlman M.
Abstract
Abstract
Under mild nondegeneracy assumptions on branching rates in each generation, we provide a criterion for almost sure extinction of a multi-type branching process with time-dependent branching rates. We also provide a criterion for the total number of particles (conditioned on survival and divided by the expectation of the resulting random variable) to approach an exponential random variable as time goes to ∞.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference23 articles.
1. Multi-type branching in varying environment
2. Bhattacharya N. and Perlman M. (2017). Time inhomogeneous branching processes conditioned on non-extinction. Preprint. Available at https://arxiv.org/abs/1703.00337.
3. The genetical theory of natural selection.
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