Data-Driven Sobolev Tests of Uniformity on Compact Riemannian Manifolds

Data-Driven Sobolev Tests of Uniformity on Compact Riemannian Manifolds

Data-driven versions of Sobolev tests of uniformity on compact Riemannian manifolds are proposed. These tests are invariant under isometries and are consistent against all alternatives. The large-sample asymptotic null distributions are given.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Annals of statistics 2008-06, Vol.36 (3), p.1246-1260
1. Verfasser: Jupp, P. E.
Format: Artikel
Sprache:eng
Schlagworte:
62F03
62F05
62H11
Asymptotic value
Consistency
directional statistics
Distribution theory
Eigenvalues
Exact sciences and technology
General topics
Infrared radiation
invariance
Laplacians
Linear programming
Mathematics
Normal distribution
Null hypothesis
penalized score test
Probability
Probability and statistics
Probability theory and stochastic processes
Riemann manifold
Sampling distributions
Sciences and techniques of general use
Statistics
Studies
Theorems
Uniformity
Variance analysis
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Data-driven versions of Sobolev tests of uniformity on compact Riemannian manifolds are proposed. These tests are invariant under isometries and are consistent against all alternatives. The large-sample asymptotic null distributions are given.
ISSN:0090-5364
2168-8966
DOI:10.1214/009053607000000541