Probability distributions of the Kolmogorov and omega-square statistics for continuous distributions with shift and scale parameters

DOI10.1007/BF01239992zbMath0493.62043WikidataQ29300639 ScholiaQ29300639MaRDI QIDQ1168666

Kacha Dzhaparidze, Mikhail S. Nikulin

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

exponential distributionCauchy distributiongamma distributionsvon Mises statisticsKolmogorov statisticomega-square statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20)

Related Items (6)

Asymptotic efficiency of goodness-of-fit tests based on Too–Lin characterization ⋮ Modeling statistic distributions for nonparametric goodness-of-fit criteria for testing complex hypotheses with respect to the inverse Gaussian law ⋮ On asymptotic distribution of parameter free tests for ergodic diffusion processes ⋮ On APF test for Poisson process with shift and scale parameters ⋮ Models of Statistic Distributions of Nonparametric Goodness-of-Fit Tests in Composite Hypotheses Testing for Double Exponential Law Cases ⋮ Fibering method in some probabilistic problems

Cites Work

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• Weak convergence of the sample distribution function when parameters are estimated
• Computation of Limit Distributions of Statistics for Normality Tests of Type $\omega ^2 $
• Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems
• Remarks on a Multivariate Transformation
• The Cramer-Smirnov Test in the Parametric Case

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