A weighted Kuiper statistic for goodness of fit

DOI10.1111/j.1467-9574.1996.tb01505.xzbMath0925.62165OpenAlexW1963484837MaRDI QIDQ4354858

James A. Koziol

Publication date: 17 November 1999

Published in: Statistica Neerlandica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9574.1996.tb01505.x

zbMATH Keywords

efficiencyKolmogorov-Smirnovvariance-weighting

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Exact distribution theory in statistics (62E15)

Cites Work

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• Weighted empirical and quantile processes
• Large deviations of goodness of fit statistics and linear combinations of order statistics
• Sheffer polynomials for computing exact Kolmogorov-Smirnov and Renyi type distributions
• Overweight tails are inefficient
• The asymptotic distribution of the supremum of the standardized empirical distribution function on subintervals
• The asymptotic distribution of the suprema of the standardized empirical processes
• On Computing the Probability of an Empirical Process not Crossing a Curvilinear Boundary
• Exact Bahadur Efficiencies for the Kolmogorov-Smirnov and Kuiper One- and Two-Sample Statistics
• On Asymptotically Optimal Non-Parametric Criteria
• Boundary-crossing probabilities for the Brownian motion and Poisson processes and techniques for computing the power of the Kolmogorov-Smirnov test
• The Calculation of Distributions of Two-Sided Kolmogorov-Smirnov Type Statistics
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes

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