Order statistics from exchangeable random variables are always sufficient
Abstract
Let (X1,…,Xn) be an exchangeable random vector with distribution function F, and denote by Y1≤ ·s≤ Yn the corresponding order statistics. We show that the conditional distribution of (X1,…,Xn) given (Y1,…,Yn) does not depend on F.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.