Distributions of Some One-Sided k -Sample Smirnov-Type Statistics
若干单侧多样本Smirnov型统计量的分布
Consider the problem of testing the equality of k populations in cases in which the populations can be ordered a priori from low to high on the basis of some underlying variable. This article proposes a new statistic based on the sums of the Smirnov-type statistic and provides evidence that the test based on this statistic has high power for a wide range of alternatives suggested by this problem. To construct the statistic, let Fj (x) be the empirical distribution for the…