Goodness-of-fit tests for uniformity of probability distribution law

Аннотация

This paper describes a set of tests for uniformity of observations which are ranked by power. It is shown that most tests commonly used for the hypothesis of uniformity are biased relative to a certain kind of competing hypotheses. It is emphasized that specific tests meant only for uniformity have no obvious advantages over nonparametric goodness-of-fit tests used for the same purpose.