On total progeny of multitype Galton-Watson process and the first passage time of random walk with bounded jumps

Wang Huaming

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arXiv · 1209.6429

On total progeny of multitype Galton-Watson process and the first passage time of random walk with bounded jumps

Wang Huaming

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Abstract

In this paper, we first form a method to calculate the probability generating function of the total progeny of multitype branching process. As examples, we calculate probability generating function of the total progeny of the multitype branching processes within random walk which could stay at its position and (2-1) random walk. Consequently, we could give the probability generating functions and the distributions of the hitting time of corresponding random walks.

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Wang Huaming. 2012-09-28. On total progeny of multitype Galton-Watson process and the first passage time of random walk with bounded jumps. https://arxiv.org/abs/1209.6429

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