 Testing for Spherical Symmetry of a Multivariate DistributionV. I. Koltchinskii and Lang Li Journal of Multivariate Analysis, 1998, vol. 65, issue 2, 228-244 Abstract: We consider a test for spherical symmetry of a distribution in dwith an unknown center. It is a multivariate version of the tests suggested by Schuster and Barker and by Arcones and Giné. The test statistic is based on the multivariate extension of the distribution and quantile functions, recently introduced by Koltchinskii and Dudley and by Chaudhuri. We study the asymptotic behavior of the sequence of test statistics for large samples and for a fixed spherically asymmetric alternative as well as for a sequence of local alternatives converging to a spherically symmetric distribution. We also study numerically the performance of the test for moderate sample sizes and justify a symmetrized version of bootstrap approximation of the distribution of test statistics. Keywords: empirical processes; measure of asymmetry of probability distribution; spherical symmetry; symmetrized bootstrap; VC-subgraph classes (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:jmvana:v:65:y:1998:i:2:p:228-244 Ordering information: This journal article can be ordered from Access Statistics for this article Journal of Multivariate Analysis is currently edited by de Leeuw, J. More articles in Journal of Multivariate Analysis from Elsevier |
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