A test for uniformity with unknown limits based on d'agostino's D

L. Baringhaus and N. Henze

Statistics & Probability Letters, 1990, vol. 9, issue 4, 299-304

Abstract: Although still being recommended as a goodness-of-fit test for normality, we present some motivations to consider D'Agostino's statistic D for testing of uniformity on an unknown interval. As a matter of fact, D turns out to be a linear function of the Cramer-von Mises distance between the empirical distribution function and a rectangular distribution with suitably estimated endpoints. The limiting null distribution of D is found.

Keywords: D'Agostino's; D; test; for; uniformity; with; unknown; limits; U-statistics; characterization; of; the; uniform; distribution (search for similar items in EconPapers)
Date: 1990
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