Geodesic
A Characterization of the Normal andWeibull Distributions
Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 257-260

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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]. 
Seshadri, V. A Characterization of the Normal andWeibull Distributions. Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 257-260. doi: 10.4153/CMB-1969-031-2
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     title = {A {Characterization} of the {Normal} {andWeibull} {Distributions}},
     journal = {Canadian mathematical bulletin},
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     year = {1969},
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     number = {3},
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