A distribution free test for the two sample problem for general alternatives

DOI10.1016/0167-9473(95)92844-NzbMath0900.62228MaRDI QIDQ1352107

Friedrich Schmid, Mark Trede

Publication date: 27 February 1997

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

zbMATH Keywords

Kolmogorov-Smirnov testWilcoxon-Mann-Whitney testCramer-von Mises testP-P-PlotPower of distribution free tests

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10)

Related Items (11)

Four-decision tests for stochastic dominance, with an application to environmental psychophysics ⋮ Tests of stochastic dominance with repeated measurements data ⋮ Chain plot: a tool for exploiting bivariate temporal structures ⋮ Ranking star-shaped valued mappings with respect to shape variability ⋮ Integral distribution-free statistics of \(L_p\)-type and their asymptotic comparison ⋮ On the Exact Finite Sample Distribution of theL₁-FCvM Test Statistic ⋮ Data driven smooth test for paired populations ⋮ Some notes about nonparametric tests for the equality of two populations ⋮ Two-sample tests based on empirical Hankel transforms ⋮ A note on the nonparametric test based on the \(L_ 1\)-version of the Cramér-von Mises statistic ⋮ A rank-based Cramér-von-Mises-type test for two samples

Cites Work

• An explicit formula for the c.d.f. of the \(L_ 1 \)norm of the Brownian bridge
• On the integral of the absolute value of the pinned Wiener process
• The integral of the absolute value of the pinned Wiener process - calculation of its probability density by numerical integration
• On the Distribution of the Two-Sample Cramer-von Mises Criterion
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