A. D. Solov'ev, “A combinatorial identity and its application to the problem about the first occurence of a rare event”, Teor. Veroyatnost. i Primenen., 1966, Volume 11, Issue 2,Pages <nobr>313

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Short Communications

A combinatorial identity and its application to the problem about the first occurence of a rare event

A. D. Solov'ev

Moscow

Abstract: In this paper a stationary chain of $m$-dependent events is investigated. The moment of the first occurence of the event is considered. A representation of the generating function of the moment is derived and the asymptotic behaviour of this moment is investigated when the probability of occurence of the event tends to zero.

Received: 21.05.1965