Goodness of fit in multidimensions based on nearest neighbour distances

DOI10.1080/10485259308832558zbMath1360.62230OpenAlexW2067080171MaRDI QIDQ3432349

S. A. Zhou, Sreenivasa Rao Jammalamadaka

Publication date: 16 April 2007

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

Full work available at URL: https://doi.org/10.1080/10485259308832558

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10)

Related Items (8)

Central limit theorems for \(k\)-nearest neighbour distances ⋮ Generalized Maximum Spacing Estimation for Multivariate Observations ⋮ Статистические критерии равномерности распределения и независимости векторов, использующие попарные расстояния;Statistical tests for uniformity of distribution and independence of vectors based on pairwise distances ⋮ Some parametric tests based on sample spacings ⋮ Multivariate goodness-of-fit on flat and curved spaces via nearest neighbor distances ⋮ The maximum spacing estimation for multivariate observations ⋮ On the consistency of the spacings test for multivariate uniformity, including on manifolds ⋮ Gaussian limits for generalized spacings

Cites Work

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• Asymptotic efficiencies of spacings tests for goodness of fit
• Goodness of fit testing in \(R^ m \)based on the weighted empirical distribution of certain nearest neighbor statistics
• On powerful distributional tests based on sample spacings
• Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test
• Assessing multivariate normality: a compendium
• Asymptotic spacings theory with applications to the two-sample problem

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