Ultraspherical polynomials and statistics on the m-sphere

DOI10.1016/0047-259X(84)90051-4zbMath0541.62033MaRDI QIDQ794366

John G. Saw

Publication date: 1984

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

Hermite polynomialsvon Mises distributionultraspherical polynomialsdirectional dataAjne statisticm-sphereultraspherical decomposition

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

Nonparametric Bayes methods for directional data ⋮ Distributions on spheres and random variables distributed on the interval \((-1,1)\). ⋮ A family of distributions related to the McCullagh family

Cites Work

• A family of distributions on the m-sphere and some hypothesis tests
• Another test for the uniformity of a circular distribution
• A goodness-of-fit statistic for the circle, with some comparisons
• Testing for uniformity on a compact homogeneous space
• Asymptotic Theory of a Class of Tests for Uniformity of a Circular Distribution
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