Asymptotic properties of Cramer-Smirnov statistics. A new approach

DOI10.1016/0047-259X(83)90039-8zbMath0524.62023OpenAlexW2082245534MaRDI QIDQ584854

Shashikala Sukhatme

Publication date: 1983

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(83)90039-8

zbMATH Keywords

perturbation theoryGaussian processFourier coefficientsgoodness-of-fit statisticsnormal distributionseigenvalues of covariance functionmodified Cramer-Smirnov statisticsnew approachnoncentral chi square

Mathematics Subject Classification ID

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

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Dealing sensitive characters on successive occasions through a general class of estimators using scrambled response techniques

Cites Work

• Asymptotic results for goodness-of-fit statistics with unknown parameters
• Characteristic functions and Bernoulli numbers
• Weak convergence of the sample distribution function when parameters are estimated
• Goodness-of-fit tests on a circle
• Fredholm Determinant of a Positive Definite Kernel of a Special Type and Its Application
• An Explicit Representation of a Stationary Gaussian Process
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
• The Cramer-Smirnov Test in the Parametric Case
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