论文标题
来自可交换随机变量的订单统计量总是足够的
Order statistics from exchangeable random variables are always sufficient
论文作者
论文摘要
令$(x_1,\ ldots,x_n)$为具有分布功能$ f $的可交换随机向量,并用$ y_1 \ leq \ cdots \ cdots \ leq y_n $表示相应的订单统计信息。我们表明,给定$(x_1,\ ldots,x_n)$的条件分布给定$(y_1,\ ldots,y_n)$不依赖$ f $。
Let $(X_1,\ldots,X_n)$ be an exchangeable random vector with distribution function $F$, and denote by $Y_1\leq \cdots\leq Y_n$ the corresponding order statistics. We show that the conditional distribution of $(X_1,\ldots,X_n)$ given $(Y_1,\ldots,Y_n)$ does not depend on $F$.