Finite sequences representing expected order statistics

04/29/2022

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by   A. Okolewski, et al.

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Characterizations of finite sequences β_1<⋯<β_n representing expected values of order statistics from a random sample of size n are given. As a by-product, a characterization of binomial mixtures, when the mixing random variable is supported in the open interval (0,1), is presented; this enables the exact description of the convex hull of the open binomial curve, as well as the open moment curve.