Tables for the moments of gamma order statistics

Abstract : Let x1,. . ., xn be n independent and identically distributed gamma variables and let the probability density function of each be given by g (subscript theta) (x) = (exponential to the minus x power)(exponential to the (theta-1) power)/Gamma(theta). Gupta (Technometrics, Vol. 2(1960), 243-262) gave tables for the first four moments of different gamma order statistics when n = 1(1)15 and theta = 1(1)5. In this paper, the first four moments of the gamma order statistics when n = 1(1)16 and theta = 0.5(1)5.5(.5)10.5 are tabulated.