Stochastic Monotonicity and Branching Processes
It is shown that stochastic monotonicity provides a unified treatment of simple and multitype branching processes. In the supercritical case the key to convergence in probability or a.s. of suitably normed branching processes is a law of large numbers for some independent copies of random variables. Applications to branching processes in varying environment are given.
KeywordsIndependent Copy Supercritical Case Offspring Distribution Branching Process Dependent Offspring
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