On weak generalized stability and (c,d)-pseudostable random variables via functional equations

Details On weak generalized stability and (c,d)-pseudostable random variables via functional equations On weak generalized stability and (c,d)-pseudostable random variables via functional equations

2008-10-29

arxiv.org/abs/0810.5285v1

Mathematics

Probability

31 pages

Scientific paper

In this paper we give a first attempt to define and study stable distributions with respect to the weak generalized convolution, focusing our attention on the symmetric weakly stable distribution. As in the case of the classical convolution, characterization of distributions stable in the sense of the weak generalized convolution depends on solving some functional equations in the class of characteristic functions.

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