This article is cited in 7 papers

On limit distributions of order statistics of a multinomial distribution

G. I. Ivčenko

Moscow

Abstract: Let the equiprobable multinomial distribution (with all cell probabilities equal) have $N$ categories and sample size $n$. By $\varkappa_1(n,N),\dots,\varkappa_N(n,N)$ we denote the sampling frequencies arranged in the increasing order. This paper deals with the study of asymptotic behaviour ofj order statistics $\varkappa_k(n,N)$, $k=1,\dots,N$ as $n,N\to\infty$ so that $n/N\ln N\le C<\infty$.
BBK: 12

Received: 17.03.1969

 English version: Theory of Probability and its Applications, 1971, 16:1, 102–115

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