Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

P. E. Jupp

doi:10.1214/009053607000000541

Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

P. E. Jupp

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	1246-1260
Number of pages	15
Journal	Annals of Statistics
Volume	36
DOIs	https://doi.org/10.1214/009053607000000541
Publication status	Published - Jun 2008

Keywords

consistency
directional statistics
invariance
penalized score test
OF-FIT TESTS
SMOOTH TESTS
COMPOSITE HYPOTHESES
VERSION

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10.1214/009053607000000541

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title = "Data-driven Sobolev tests of uniformity on compact Riemannian manifolds",

abstract = "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.",

keywords = "consistency, directional statistics, invariance, penalized score test, OF-FIT TESTS, SMOOTH TESTS, COMPOSITE HYPOTHESES, VERSION",

author = "Jupp, {P. E.}",

year = "2008",

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doi = "10.1214/009053607000000541",

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AB - 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.

KW - consistency

KW - directional statistics

KW - invariance

KW - penalized score test

KW - OF-FIT TESTS

KW - SMOOTH TESTS

KW - COMPOSITE HYPOTHESES

KW - VERSION

U2 - 10.1214/009053607000000541

DO - 10.1214/009053607000000541

M3 - Article

SN - 0090-5364

VL - 36

SP - 1246

EP - 1260

JO - Annals of Statistics

JF - Annals of Statistics

ER -

Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

Abstract

Keywords

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