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Mathematica Eterna

Mathematica Eterna
Open Access

ISSN: 1314-3344

Abstract

On Probability Distribution of First Absorption Time in Branching Processes

Wai-Yuan Tan

In this paper, by using di usion approximation we derive the probability distribution of time to extinction of the Galton-Watson branchingprocess. It is shown that this probability distribution can be expressed in terms of Laguerre polynomials.

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