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On the asymptotic distribution of Watson's statistic

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Publication:794075
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DOI10.1214/aos/1176346340zbMath0539.62023OpenAlexW1566800563MaRDI QIDQ794075

Donald A. Darling

Publication date: 1983

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176346340


zbMATH Keywords

circular distributionintegral representation of positive stable distributionsWatson's optimal invariant test for uniformity


Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Statistical tables (62Q05)


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Bahadur efficiency of Watson-Darling goodness-of-fit tests ⋮ Bahadur efficiency of EDF based normality tests when parameters are estimated ⋮ Generalized Cramér-von Mises goodness-of-fit tests for multivariate distributions



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