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Elliptical invariance of distributions of the power type: the stability and extensivity issues

arXiv:cond-mat/0602018

Abstract

In this paper we delve into some important properties of probability distributions of the power type in order to provide some answers to questions recently raised in the literature. More precisely, we focus on the properties of maximizers of generalized information measures and give results about their stability under addition-composition processes.

4 figures, 15 pages