Article contents
A Characterization of the Normal andWeibull Distributions
Published online by Cambridge University Press: 20 November 2018
Extract
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].
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1969
References
- 4
- Cited by