Are continuous mappings preserving normality necessarily linear?
Applicationes Mathematicae, Tome 24 (1997) no. 1, pp. 109-112.

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An example of a normal nonlinear continuous function of a normal random variable is given. Also the Cauchy case is considered.
DOI : 10.4064/am-24-1-109-112
Keywords: normal distribution, Cauchy distribution, distributions of functions of random variables

Jacek Wesołowski 1

1
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Jacek Wesołowski. Are continuous mappings preserving normality necessarily linear?. Applicationes Mathematicae, Tome 24 (1997) no. 1, pp. 109-112. doi : 10.4064/am-24-1-109-112. http://geodesic.mathdoc.fr/articles/10.4064/am-24-1-109-112/

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