The asymptotic distribution of the correlation coefficient in testing fit to the exponential distribution
Richard Lockhart · Canadian Journal of Statistics · 1985
Abstract The asymptotic distribution of certain tests of fit to the exponential distribution is obtained. The tests are based on regression of the order statistics on their expectations under a standard exponential distribution. Asymptotic normality at the rate (logn)1/2is obtained for a family of statistics including the correlation coefficient.