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A Characterization of the Normal andWeibull Distributions

Published online by Cambridge University Press:  20 November 2018

V. Seshadri
V. Seshadri*
Affiliation:
McGill University
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Let X and Y be two independent normal variates each distributed with zero mean and a common variance. Then the quotient X/Y has the Cauchy distribution symmetrical about the origin. Of particular interest in recent years has been the converse problem and examples of non-normal distributions with a Cauchy distribution for the quotient have been illustrated by Mauldon [9], Laha [2; 3; 4] and Steck [10].

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 3 , June 1969 , pp. 257 - 260
Copyright
Copyright © Canadian Mathematical Society 1969

References

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