English

Truncated fractional moments of stable laws

Probability 2017-09-06 v1

Abstract

Expressions are given for the truncated fractional moments EX+pE X_+^p of a general stable law. These involve families of special functions that arose out of the study of multivariate stable densities and probabilities. As a particular case, an expression is given for E(Xa)+E(X-a)_+ when α>1\alpha > 1.

Keywords

Cite

@article{arxiv.1709.01210,
  title  = {Truncated fractional moments of stable laws},
  author = {John P. Nolan},
  journal= {arXiv preprint arXiv:1709.01210},
  year   = {2017}
}