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Distributions slanted to the right
Authors:U. Rö  sler
Affiliation:Christian-Albrecht Universität zu Kiel, Ludewig-Meyn Strasse 4. 24098 Kiel, Federal Republic of Germany
Abstract:We solve Problem 234 in Statistica Neerlandica by introducing the concept of slantedness. Distributions with a decreasing Lebesgue density are slanted to the right. This is no longer true for distributions on a lattice with decreasing density. Both kinds of distributions have positive central odd moments.
Keywords:Unimodal distributions    skewness    convex order    convex cones    Choquet representation
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