Characterizing the distributions of the random variables \(X_ 1,X_ 2,X_ 3\) by the distribution of \((X_ 1-X_ 3,X_ 2-X_ 3)\)
type: Item
instance of: scholarly article
title: Characterizing the distributions of the random variables \(X_ 1,X_ 2,X_ 3\) by the distribution of \((X_ 1-X_ 3,X_ 2-X_ 3)\)
zbMATH Open document ID: 0581.60011
DOI: 10.1007/BF01845992
author: Zoltán Sasvári
publication date: 1986-01-01T00:00:00Z
review text: Let \(X_ 1,X_ 2,X_ 3\) be independent random variables. In this paper we investigate under which conditions the distribution of the random vector \((X_ 1-X_ 3,X_ 2-X_ 3)\) determines the distributions of \(X_ 1,X_ 2,X_ 3\) up to a change of the location. For a class of random variables a necessary and sufficient condition is given.
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 3930019
zbMATH Keywords: change of the location
MaRDI profile type: Publication
cites work: On the Zeros and the Argument of a Characteristic Function
cites work: On characterizing the gamma and the normal distribution
cites work: A theorem on joint probability distributions in stochastic locally convex linear topological spaces
cites work: Quelques problèmes non résolus de la théorie des fonctions caractéristiques
cites work: Q2538594
cites work: On a characterization of probability distributions on locally compact abelian groups
cites work: Einige Bemerkungen über die Fortsetzung positiv definiter Funktionen
cites work: Über die Nullstellenmenge von charakteristischen Funktionen
cites work: Über die wiederherstellung der ausgangsverteilung durch die statistik X1—X3, X2—X3
full work available at URL: https://doi.org/10.1007/bf01845992
OpenAlex ID: W2037997916
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Recommended article: Q3746651
Recommended article: Q3795046
Recommended article: Q4009038
Recommended article: Q3724972
Recommended article: On the problem of characterizing the distribution of random variables by the distribution of their sum
Recommended article: Q4838525
Recommended article: From Student'st2Distribution to Student'st3Distribution Through Characterizations
Recommended article: Q4322678
description: scientific article; zbMATH DE number 3930019