Goodness-of-Fit Tests for Uniformity of Probability Distribution Law
B. Yu. Lemeshko, P. Yu. Blinov, S. B. Lemeshko
Novosibirsk State Technical University, pr. Karla Marksa 20, Novosibirsk, 630073 Russia
Keywords: равномерный закон, проверка гипотез, статистический критерий, мощность критерия, uniformity, testing hypotheses, statistical test, test power
Pages: 128-140
Subsection: ANALYSIS AND SYNTHESIS OF SIGNALS AND IMAGES
Abstract
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.
DOI: http://dx.doi.org/10.3103/S8756699016020047
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