Let (Xi, Yi) i=1, 2, ..., n be n independent and identically distributed random variables from some continuous bivariate distribution. If X(r) denotes the rth ordered X-variate then the Y-variate, Y[r], paired with X(r) is called the concomitant of the rth order statistic. In this...

Some new results are obtained on stochastic orderings between random vectors of spacings from heterogeneous exponential distributions and homogeneous ones. LetD1, ..., Dnbe the normalized spacings associated with independent exponential random variablesX1, ...,Xn, whereXihas hazard...