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- W3093326354 abstract "A goal of the paper is to prove new inequalities connecting some functionals of probability distribution functions. These inequalities are based on the strict convexity of functions used in the definition of the functionals. The starting point is the paper “Cramer–von Mises distance: probabilistic interpretation, confidence intervals and neighborhood of model validation” by Ludwig Baringhaus and Norbert Henze. The present paper provides a generalization of inequality obtained in probabilistic interpretation of the Cramer–von Mises distance. If the equality holds there, then a chance to give characterization of some probability distribution functions appears. Considering this fact and a special character of the functional, it is possible to create a class of free-of-distribution two sample tests." @default.
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- W3093326354 date "2020-10-12" @default.
- W3093326354 modified "2023-10-16" @default.
- W3093326354 title "A New Convexity-Based Inequality, Characterization of Probability Distributions, and Some Free-of-Distribution Tests" @default.
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- W3093326354 doi "https://doi.org/10.1007/s10958-020-05062-y" @default.
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