ON THE OVERALL SQUARE SUM OF HIGH-ORDER SPACINGS

抄録

We consider the goodness-of-fit tests based on the sample spacings. In this paper, the test statistic T_n=n^-1_??_(G_??_-m/(n+1))² is introduced in terms of high-order spacings G_??_, and it is shown that the test based on T_n is asymptotically more powerful than the previous tests based on the sample spacings and that T_n is asymptotically equivalent to the Watson statistic.