On the stability of one characterization of the stable distributions

As early as 1923, Georg P6lya wrote: ``The Gaussian error law possesses the property that it remains valid under a linear combination of errors. The Gaussian error law can be characterized by this property to some extent – it is the only law that admits steadiness with respect to linear combination...

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Bibliographic Details
Main Authors: Olga Yanushkevichiene, Romanas Yanushkevichius
Format: Article
Language:English
Published: Vilnius University Press 2001-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/34743