6.12 Show that when m, n!1such that m=(m n) ! l, 0 < l < 1,...

6.12 Show that when m, n!1such that m=(m þ n) ! l, 0 < l < 1, the null distribution of the precedence statistic P(i) given in Problem 6.10 tends to the negative binomial distribution with parameters i and l, or j þ i  1 i  1

 

lj(1  l)j j ¼ 0, 1, . . . ,m (Sen, 1964)