A. V. Shipileva, “Estimates of the distribution of the extinction moment of a Markov branching process”, Teor. Veroyatnost. i Primenen., 2000, Volume 45, Issue 4,Pages <nobr>776

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Estimates of the distribution of the extinction moment of a Markov branching process

A. V. Shipileva

Volgograd State University

Abstract: The distribution of the extinction moment of a single-type Markov branching process is investigated. Asymptotically precise estimates are found for subcritical, critical, and supercritical processes.

Keywords: Markov branching process, infinitesimal generating function, distribution of extinction moment.

Received: 11.03.1999

DOI: 10.4213/tvp509