Elliptical Tempered Stable Distribution and Fractional Calculus

Hassan A. Fallahgoul and Young S. Kim

Papers from arXiv.org

Abstract: A definition for elliptical tempered stable distribution, based on the characteristic function, have been explained which involve a unique spectral measure. This definition provides a framework for creating a connection between infinite divisible distribution, and particularly elliptical tempered stable distribution, with fractional calculus. Finally, some analytical approximations for the probability density function of tempered infinite divisible distribution, which elliptical tempered stable distributions are a subclass of them, are considered.

Date: 2014-08, Revised 2014-08
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