Characterizations of finite sequences β ₁<⋯ <β ₙ 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.
No takes yet. Share an insight, caveat, or question.
Okolewski et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: