Computational aspects of Cui-Freeden statistics for equidistribution on the sphere

DOI10.1090/S0025-5718-2013-02698-1zbMath1282.62035OpenAlexW2130218783MaRDI QIDQ5326504

Christine Choirat, Raffaello Seri

Publication date: 6 August 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2013-02698-1

zbMATH Keywords

Spheregeneralized discrepancyequidistribution, approximation of distributions, quadratic form in Gaussian random variablesHammersley sequences on spheretest statistic asymptotic properties

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Geostatistics (86A32) Spherical harmonics (33C55) Well-distributed sequences and other variations (11K36) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items

Bootstrap confidence sets for the Aumann mean of a random closed set, Computing the asymptotic distribution of second-order \(U\)- and \(V\)-statistics, COMPARISON OF APPROXIMATIONS FOR COMPOUND POISSON PROCESSES, Statistical properties of $b$-adic diaphonies, Asymptotic distributions of covering and separation measures on the hypersphere, Variance analysis for Monte Carlo integration, Theory of generalized discrepancies on a ball of arbitrary finite dimensions and algorithms for finding low-discrepancy point sets, Distributing many points on spheres: minimal energy and designs

Uses Software

• AS 106

Cites Work

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