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Biometrika 1970 57(1):181-186; doi:10.1093/biomet/57.1.181
© 1970 by Biometrika Trust
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The order statistics of the negative binomial distribution

D. H. YOUNG

Brunei University

The order statistics of independent random variables each having the same negative binomial distribution are discussed. Recurrence relations for probability generating functions and moments of the distributions of the order statistics are given. These have been used to provide tables of the expected values of the order statistics. Finally, two limiting distributions are presented and moment approximations based on one of them are evaluated.


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 INFORMS Journal on ComputingHome page
D. L. Evans, L. M. Leemis, and J. H. Drew
The Distribution of Order Statistics for Discrete Random Variables with Applications to Bootstrapping
INFORMS Journal on Computing, January 1, 2006; 18(1): 19 - 30.
[Abstract] [PDF]


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