Some New Goodness-of-Fit Tests Based on Stochastic Sample Quantiles

DOI10.1080/03610910802585832zbMath1160.62040OpenAlexW2080385824MaRDI QIDQ3625334

Jianxin Zhao, Xiaobo Ding, Xingzhong Xu

Publication date: 12 May 2009

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610910802585832

zbMATH Keywords

tablesCramér-von Mises statisticgoodness of fitKolmogorov-Smirnov statisticsample quantilesAnderson-Darling statisticstochastic sample quantiles

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30) Nonparametric statistical resampling methods (62G09)

Related Items (6)

Testing exponentiality based on characterizations of the exponential distribution ⋮ Tests of goodness of fit based on Phi-divergence ⋮ Power maps in goodness-of-fit testing ⋮ Goodness-of-Fit Tests Based on Correcting Moments of Entropy Estimators ⋮ General treatment of goodness-of-fit tests based on Kullback–Leibler information ⋮ Monte Carlo comparison of seven normality tests

Cites Work

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• Goodness-of-fit tests and model validity. Papers from the international conference, Paris, France, May 29--31, 2000
• Goodness-of-fit statistics for discrete multivariate data
• Asymptotic distributions for quadratic forms with applications to tests of fit
• Approximation Theorems of Mathematical Statistics
• New Goodness-of-Fit Tests Based on Sample Quantiles
• Two approaches to grouping of data and related disparity statistics
• A Test of Goodness of Fit
• Non-Parametric Estimation. I. Validation of Order Statistics
• On Some Useful "Inefficient" Statistics

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