ON THE DISTRIBUTION OF ORDER STATISTICS FOR A RANDOM SAMPLE SIZE
作者:
D. Gupta,
R. C. Gupta,
期刊:
Statistica Neerlandica
(WILEY Available online 1984)
卷期:
Volume 38,
issue 1
页码: 13-19
ISSN:0039-0402
年代: 1984
DOI:10.1111/j.1467-9574.1984.tb01092.x
出版商: Blackwell Publishing Ltd
关键词: generalized negative binomial distribution;generalized Poisson distribution;generalized logarithmic series distribution;range
数据来源: WILEY
摘要:
AbstractThe distributions of the life lengths of a parallel and of a series system with a random number of components have been studied in reliability theory. In this paper we obtain the distributions of the i'th order statistics and the range, assuming the sample size to be random, with a generalized negative binomial, a generalized Poisson and a generalized logarithmic series distribution. The results of Raghunandanan and Patil (1972) follow immediately from our results.
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