Are continuous mappings preserving normality necessarily linear?
Applicationes Mathematicae, Tome 24 (1997) no. 1, pp. 109-112
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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
Affiliations des auteurs :
Jacek Wesołowski 1
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author = {Jacek Weso{\l}owski},
title = {Are continuous mappings preserving normality necessarily linear?},
journal = {Applicationes Mathematicae},
pages = {109--112},
publisher = {mathdoc},
volume = {24},
number = {1},
year = {1997},
doi = {10.4064/am-24-1-109-112},
zbl = {0862.60009},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-24-1-109-112/}
}
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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
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