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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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