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Characterization Theorems for Some Univariate Probability Distributions

M. V. Menon

Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1966 · Volume 28 · Issue 1

DOI: 10.1111/j.2517-6161.1966.tb00627.x

Abstract

This paper is an extension of the work of Patil and Seshadri (1964), and deals with the problem of characterizing the distribution of two independent random variablesXandYwhen the conditional distribution ofXgivenX + Yis known.

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