© 1973 by Biometrika Trust
MISCELLANEA |
Some results for the order statistics of the negative binomial distribution under slippage configuration
Brunei University
The order statistics of independent negative binomial random variables are considered for the case of a slippage configuration. A recurrence relation which expresses moments of the distributions of general order statistics in terms of moments of distributions of smallest order statistics is presented. Moments of the distribution of the smallest order statistic of negative binomial variables are considered in detail and some approximations are presented.
Key Words: Negative binomial distribution Order statistics Slippage configurations Moments