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Teoriya Veroyatnostei i ee Primeneniya, 1969, Volume 14, Issue 3, Pages 476–487
(Mi tvp1201)
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This article is cited in 17 scientific papers (total in 17 papers)
On the limiting behaviour of extreme order statistics in polynomial scheme
V. F. Kolchin Moscow
Abstract:
A sequence of $n$ independent trials with $N$ equiprobable events $E_1,\dots,E_N$ is considered. Let $\eta_i$ be the number of occurances of the event $E_i$ and $\eta_{(i)}$ be the $i$th order statistic for the sample $\eta_1,\dots,\eta_N$. The asymptotic behaviour of $\eta_{(i)}$ and $\eta_{(N-i+1)}$ as $n,\ N\to\infty$ is investigated by means of conversion to the analogous problem for order statistics for independent Poisson random variables.
Received: 01.07.1968
Citation:
V. F. Kolchin, “On the limiting behaviour of extreme order statistics in polynomial scheme”, Teor. Veroyatnost. i Primenen., 14:3 (1969), 476–487; Theory Probab. Appl., 14:3 (1969), 458–469
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Abstract page: | 395 | Full-text PDF : | 197 | First page: | 1 |
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