Generalization of the kolmogorov-smirnov goodness-of-fit test, usinggroup invariance

DOI10.1080/10485259208832535zbMath1360.62213OpenAlexW2076140353MaRDI QIDQ3432321

Carol J. Feltz, Gerald A. Goldin

Publication date: 16 April 2007

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

Full work available at URL: https://doi.org/10.1080/10485259208832535

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Nonparametric estimation (62G05)

Cites Work

• Confidence sets for a multivariate distribution
• Best invariant estimation of a distribution function under the Kolmogorov-Smirnov loss function
• A test for goodness-of-fit based on an empirical probability measure
• Some special Vapnik-Chervonenkis classes
• Central limit theorems for empirical measures
• Bootstrap and randomization tests of some nonparametric hypotheses
• A stochastic minimum distance test for multivariate parametric models
• Table of Percentage Points of Kolmogorov Statistics
• On distribution-free tests for bivariate observations
• Measures of multivariate skewness and kurtosis with applications
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
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