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The Order Statistics of the Negative Binomial Distribution

D. H. Young
Biometrika
Vol. 57, No. 1 (Apr., 1970), pp. 181-186
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2334947
Stable URL: http://www.jstor.org/stable/2334947
Page Count: 6
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The Order Statistics of the Negative Binomial Distribution
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Abstract

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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