Geodesic
A combinatorial identity and its application to the problem about the first occurence of a rare event
Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 2, pp. 313-320 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {A. D. Solov'ev},
     title = {A~combinatorial identity and its application to the problem about the first occurence of a~rare event},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {313--320},
     year = {1966},
     volume = {11},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a5/}
}
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A. D. Solov'ev. A combinatorial identity and its application to the problem about the first occurence of a rare event. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 2, pp. 313-320. http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a5/