Finite sequences representing expected order statistics

A. Okolewski; N. Papadatos

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arXiv · 2204.13949

Finite sequences representing expected order statistics

A. Okolewski·N. Papadatos

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Abstract

Characterizations of finite sequences $\beta_{1}<\cdots<\beta_{n}$ 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.

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A. Okolewski, N. Papadatos. 2022-04-29. Finite sequences representing expected order statistics. https://arxiv.org/abs/2204.13949

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