抄録
Let k populations πi be given with a continuous cumulative distribution function Fi(x), i=1, 2, …, k. Also let X1, X2, …, Xk be a set of mutually independent observations from respective populations π1. π2, …, πk. A rank vector R=(R1, R2, …, Rk) is defined for these observations as follows: Ri=s if Xi is the s-th smallest of the variables X1, X2, …, Xk. The purpose of this paper is to give the mean, variance and covariance of rank vector R under the population model stated above. Applications to the slippage configuration of distributions and the normal distribution are also given.
