ON THE DISTRIBUTION OF ORDER STATISTICS FOR A RANDOM SAMPLE SIZE

D. Gupta and R. C. Gupta

Statistica Neerlandica, 1984, vol. 38, issue 1, 13-19

Abstract: The 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.

Date: 1984
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