Elliptical Tempered Stable Distribution and Fractional Calculus
Probability
2014-08-18 v2 Mathematical Finance
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.
Cite
@article{arxiv.1408.3387,
title = {Elliptical Tempered Stable Distribution and Fractional Calculus},
author = {Hassan A. Fallahgoul and Young S. Kim},
journal= {arXiv preprint arXiv:1408.3387},
year = {2014}
}
Comments
16 pages, working paper