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Order Statistics for Negative Binomial Distribution | ||
| Journal of University of Babylon | ||
| Article 1, Volume 23, Issue 2, 2015, Pages 475-481 | ||
| Authors | ||
| Tabark Ayad Ali; Hussain Ahmed Ali | ||
| Abstract | ||
| In this paper, we considers the order statistics from negative binomial distribution .which have moment of all positive orders. We take as example for x_3to find the mean and variance. We define aformula for B . The incomplete beta function of Negative binomial distribution is I_(1-B(x) ) (i,M), But The incomplete beta function of binomial distribution is I_B(x) (i,M-i+1). The purpose of this paper is to study the distribution of x_i and R=x_j-x_i (x_j,x_i ,i>j) . The results are obtained here can be compared to those for a continuous variate. | ||
| Keywords | ||
| order statistics; Negative Binomial; Joint Distribution; mean; variance | ||
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