Vol. 20, No. 1, 1967

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On characterizing the gamma and the normal distribution

Ignacy I. Kotlarski

Vol. 20 (1967), No. 1, 69–76
Abstract

We will characterize the gamma distribution by the nature of the joint distribution of the two quotients X1∕X3,X2∕X3 for three identically gamma distributed random variables.

Mathematical Subject Classification
Primary: 60.20
Secondary: 62.10
Milestones
Received: 26 February 1965
Published: 1 January 1967
Authors
Ignacy I. Kotlarski