Data-driven tests of uniformity on product manifolds |
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| Authors: | P.E. Jupp |
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| Affiliation: | aSchool of Mathematics and Statistics, University of St Andrews, North Haugh, St Andrews KY16 9SS, UK |
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| Abstract: | Data-driven versions of Sobolev tests of uniformity on compact Riemannian manifolds are reviewed and their large-sample asymptotic properties are given. A variant which is suitable for product manifolds is introduced. Data-driven goodness-of-fit tests of multivariate distributions are derived from data-driven tests of uniformity on tori. |
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| Keywords: | Bayesian information criterion Consistency Goodness of fit Score test Torus |
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