Branching Processes with Negative Offspring Distributions
نویسندگان
چکیده
A branching process is a mathematical description of the growth of a population for which the individual produces offsprings according to stochastic laws. Branching processes can be modeled by one-dimensional random walks with non-negative integral step-sizes. In this paper we consider the random walk with a similar algebraic setting but the step-size distribution is allowed to take negative values. We gave the exact formula for the limit probability under which the random walk continues forever. Asymptotic results are also presented.
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