Lower bounds for the distribution function of a k-dimensional n- extendible exchangeable process
type: Item
instance of: scholarly article
title: Lower bounds for the distribution function of a k-dimensional n- extendible exchangeable process
zbMATH Open document ID: 0564.60001
DOI: 10.1016/0167-7152(85)90024-0
author: Marco Scarsini
published in: Statistics \& Probability Letters
publication date: 1985-01-01T00:00:00Z
review text: Let \(X_ 1, X_ 2,..., X_ k\) be exchangeable random variables which are uniformly distributed on (0, 1). We say that the \(X_ j\) are n- extendible \((n>k)\) if the enlarged set \(X_ 1, X_ 2,..., X_ k, X_{k+1},..., X_ n\) of random variables is also exchangeable. It is an active field of research finding necessary or sufficient conditions for extendibility. The author obtains such conditions by first establishing lower bounds for the distribution of k exchangeable random variables which are n-extendible.
reviewed by: Janos Galambos
Mathematics Subject Classification ID: 60A05
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 62H05
zbMATH DE Number: 3899824
zbMATH Keywords: exchangeable random variables
zbMATH Keywords: extendibility
MaRDI profile type: Publication
full work available at URL: 0167-7152(85)90024-0
OpenAlex ID: W2046472089
cites work: Q5630443
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description: scientific article; zbMATH DE number 3899824