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September, 1985 Sobolev Tests for Independence of Directions
P. E. Jupp, B. D. Spurr
Ann. Statist. 13(3): 1140-1155 (September, 1985). DOI: 10.1214/aos/1176349661

Abstract

Two families of invariant tests for independence of random variables on compact Riemannian manifolds are proposed and studied. The tests are based on Gine's Sobolev norms which are obtained by mapping the manifolds into Hilbert spaces. For general compact manifolds, randomization tests are suggested. For the bivariate circular case, distribution-free tests based on uniform scores are considered.

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P. E. Jupp. B. D. Spurr. "Sobolev Tests for Independence of Directions." Ann. Statist. 13 (3) 1140 - 1155, September, 1985. https://doi.org/10.1214/aos/1176349661

Information

Published: September, 1985
First available in Project Euclid: 12 April 2007

zbMATH: 0585.62098
MathSciNet: MR803763
Digital Object Identifier: 10.1214/aos/1176349661

Subjects:
Primary: 62H15
Secondary: 62E20, 62G10, 62H20

Rights: Copyright © 1985 Institute of Mathematical Statistics

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Vol.13 • No. 3 • September, 1985
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