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ArticleOriginal scientific text

Title

Are continuous mappings preserving normality necessarily linear?

Authors ¹

Affiliations

Mathematical Institute, Warsaw University of Technology , Plac Politechniki 1, 00-661 Warszawa, Poland

Abstract

An example of a normal nonlinear continuous function of a normal random variable is given. Also the Cauchy case is considered.

Keywords

normal distribution, Cauchy distribution, distributions of functions of random variables

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