Nonparametric Location Tests Based on the Empirical Distribution

We present a unified approach to the nonparametric comparison of locations in the one- and two sample case using the empirical distribution functions. This approach reveals how to define a simple test statistic for this comparison in the case of large sample sizes which is equivalent to the known Wilcoxon-Mann-Whitney statistics and is based on the grouping of the data. In the particular case of equal group sizes we find an extremely simple form for this location test.     

Crockett's Test of Fit for the Bivariate Poisson

An improved version of the test of CROCKETT (1979) for testing for the bivariate Poisson distribution is given and evaluated.     

An Empirical Power Comparison of Three Tests of Exponentiality Under Mixture- and Outlier-Models

We present the results of an empirical power study of three prominent goodness-of-fit tests for exponentiality due to Shapiro and Wilk (1972), Durbin (1975), and Tiku (1980) by considering the mixture- and the outlier- exponential models as alternatives. This study is on similar lines as those of Dyer and Harbin (1981) and Balakrishnan (1983). We show that Tiku's test is on the whole considerably more powerful than the other two tests.