Asymptotic Theory of a Class of Tests for Uniformity of a Circular Distribution
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Publication:5612977
DOI10.1214/aoms/1177697496zbMath0211.51101OpenAlexW1994751328MaRDI QIDQ5612977
Publication date: 1969
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177697496
Asymptotic distribution theory in statistics (62E20) Asymptotic properties of parametric tests (62F05)
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Principes d'invariance faible pour la mesure empirique d'une suite de variables aléatoires mélangeante. (Weak invariance principles for the empirical measure of a mixing sequence of random variables) ⋮ On optimal tests for isotropy against the symmetric wrapped stable‐circular uniform mixture family ⋮ Bayesian optimality for Beran's class of tests of uniformity around the circle ⋮ On Sobolev tests of uniformity on the circle with an extension to the sphere ⋮ Recent advances in directional statistics ⋮ Nonuniform estimates in the central limit theorem in a Hilbert space. I ⋮ Ordering distributions on the circle with respect to uniformity ⋮ Some tests for uniformity of circular distributions powerful against multimodal alternatives ⋮ Testing for proportionality of multivariate dispersion structures using interdirections ⋮ On the reliability of the chi-square test ⋮ Ultraspherical polynomials and statistics on the m-sphere
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