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The distribution of the number of distinct values in a finite exchangeable sequence - MaRDI portal

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The distribution of the number of distinct values in a finite exchangeable sequence

From MaRDI portal
Publication:6362752

DOI10.1214/22-EJP815arXiv2103.07518MaRDI QIDQ6362752

Author name not available (Why is that?)

Publication date: 12 March 2021

Abstract: Let Kn denote the number of distinct values among the first n terms of an infinite exchangeable sequence of random variables (X1,X2,ldots). We prove for n=3 that the extreme points of the convex set of all possible laws of K3 are those derived from i.i.d. sampling from discrete uniform distributions and the limit case with P(K3=3)=1, and offer a conjecture for larger n. We also consider variants of the problem for finite exchangeable sequences and exchangeable random partitions.





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