Multiplicative strong unimodality for positive stable laws
Probability
2010-03-01 v1
Abstract
It is known that real Non-Gaussian stable distributions are unimodal, not additive strongly unimodal, and multiplicative strongly unimodal in the symmetric case. By a theorem of Cuculescu-Theodorescu, the only remaining relevant situation for the multiplicative strong unimodality of stable laws is the one-sided. In this paper, we show that positive stable laws are multiplicative strongly unimodal iff
Cite
@article{arxiv.1002.4977,
title = {Multiplicative strong unimodality for positive stable laws},
author = {Thomas Simon},
journal= {arXiv preprint arXiv:1002.4977},
year = {2010}
}