Limit theorems for bounded branching processes

G. K. Kobanenko

Diskretnaya Matematika, Tome 29 (2017) no. 2, pp. 18-28.

Résumé

The conditions under which the nonextincting trajectories of a discrete time bounded branching process with probability 1: either only finitely many times hit the upper boundary, either infinitely often hit the upper boundary, or coincide with the upper boundary after some random moment.

Détail

Keywords: bounded branching process, behavior of trajectories, limit theorems.

Bibliographie

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