This article is cited in 5 papers

Limit distributions of the number of absent chains of identical outcomes

M. I. Tikhomirova


Abstract: We prove the asymptotic normality of the number of absent $s$-chains of identical outcomes in the equiprobable polynomial scheme under the condition that the number of trials $n$ and the number of outcomes $N$ tend to infinity in such a way that $\alpha_N=n/N^s\to\alpha$, $0\le\alpha<\infty$, $N\alpha_N^2\to\infty$.

UDC: 519.2

Received: 14.09.2006
Revised: 02.03.2007

DOI: 10.4213/dm1011

 English version: Discrete Mathematics and Applications, 2008, 18:3, 293–300

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