Vol. 35, No. 2, 1970

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ISSN: 0030-8730
Characterizing the distributions of three independent n-dimensional random variables, X1, X2, X3, having analytic characteristic functions by the joint distribution of (X1 + X3, X2 + X3)

Paul G. Miller

Vol. 35 (1970), No. 2, 487–491
Abstract

Kotlarski characterized the distribution of three independent real random variables X1,X2,X3 having nonvanishing characteristic functions by the joint distribution of the 2-dimensional vector (X1 + X8,X2 + X3). In this paper, we shall give a generalization of Kotlarski’s result for X1,X2,Xa n-dimensional random variables having analytic characteristic functions which can meet the value zero.

Mathematical Subject Classification
Primary: 60.20
Milestones
Received: 18 February 1970
Published: 1 November 1970
Authors
Paul G. Miller