U-statistics based on the Green's function of the Laplacian on the circle and the sphere

DOI10.1016/j.spl.2006.11.009zbMath1283.62101OpenAlexW1996341825MaRDI QIDQ2373667

Jean-Renaud Pycke

Publication date: 16 July 2007

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2006.11.009

zbMATH Keywords

Cramér-von Mises statisticdirectional statisticsWatson statisticAnderson-Darling statistictests of uniformityU- and V-statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)

Related Items (3)

Computational aspects of Cui-Freeden statistics for equidistribution on the sphere ⋮ Theory of generalized discrepancies on a ball of arbitrary finite dimensions and algorithms for finding low-discrepancy point sets ⋮ Convergence types and rates in generic Karhunen-Loève expansions with applications to sample path properties

Cites Work

• Invariant tests for uniformity on compact Riemannian manifolds based on Sobolev norms
• Multivariate extensions of the Anderson--Darling process.
• Study of some new integrated statistics: Computation of Bahadur efficiency, relation with non-standard boundary value problems
• Watson-type goodness-of-fit tests based on the integrated empirical process
• On non-Riemannian sectional curvature in Riemannian homogeneous spaces
• Statistical Analysis of Circular Data
• Goodness-of-fit tests on a circle
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