Let (X1, X2) be a bivariate random variable of the discrete type with joint probability density function pij = pr[X1 = i, X2 = j], i, J = 1, ..., k. Based on a random sample from this distribution, we discuss the properties of the likelihood ratio test of the null hypothesis of bivariate...

Let X1,...,Xm and Y1,...,Yn be independent random samples from two absolutely continuous distributions F and G, respectively. For F=G, Fligner and Wolfe (1976) established some interesting properties of the Wi's, the number of X-observations between the (i-1)th and ith order statistics of the...

Let X1,...,Xn be a random sample of size n from a DFR distribution and let Xi:n) denote its ith order statistic. It is shown that for i < j, X(i:n) is less dispersed than X(i:n). Also, if Xi's are independent DFR random variables, but not necessarily identical, then X(l:n) is less dispersed than X(j:n), for j> 1.