Testing uniformity for the case of a planar unknown support

DOI10.1002/cjs.10140zbMath1348.62157OpenAlexW1982258841WikidataQ60540698 ScholiaQ60540698MaRDI QIDQ2856547

Beatriz Pateiro-López, José R. Berrendero, Antonio Cuevas

Publication date: 29 October 2013

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10486/13868

zbMATH Keywords

convexityset estimationdistance to boundaryuniformity test\(\lambda\)-convexity (\(r\)-convexity)

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items (7)

A new omnibus test of fit based on a characterization of the uniform distribution ⋮ Статистические критерии равномерности распределения и независимости векторов, использующие попарные расстояния;Statistical tests for uniformity of distribution and independence of vectors based on pairwise distances ⋮ Testing multivariate uniformity based on random geometric graphs ⋮ On Poincaré cone property ⋮ Multivariate goodness-of-fit on flat and curved spaces via nearest neighbor distances ⋮ Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images ⋮ An empirical study of tests for uniformity in multidimensional data

Uses Software

• R
• alphahull

Cites Work

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• Rates of convergence for random approximations of convex sets
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• The convex hull of a random set of points

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