论文标题
代表预期订单统计数据的有限序列
Finite sequences representing expected order statistics
论文作者
论文摘要
给出了有限序列的特征$β_{1} <\ cdots <β_{n} $,代表来自大小$ n $的随机样本的订单统计的预期值。作为一种副产品,提出了二项式混合物的表征,当在开放的间隔$(0,1)$中支持混合随机变量时;这使得对开放二项式曲线的凸壳以及开放力矩曲线的确切描述。
Characterizations of finite sequences $β_{1}<\cdots<β_{n}$ 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.