Tests of fit for the logistic distribution based on the empirical distribution function

Abstract

Goodness-of-fit tests are given for the logistic distribution, based on statistics calculated from the empirical distribution function. Emphasis is on the statistics W 2 , U 2 and A 2 , for which asyinptotio percentage points are given, for each of the three cases where one or both of the parameters of the distribution must be estimated from the data. Slight modifications of the calculated statistics are given to enable the points to be used with small samples. Monte Carlo results are included also for statistics D + , D − , D and V .