Positive stable densities and the bell-shape
Probability
2013-02-06 v1 Statistics Theory
Statistics Theory
Abstract
We show that positive stable densities are bell-shaped, that is their n-th derivatives vanish exactly n times on (0,+oo) and have an alternating sign sequence. This confirms the graphic predictions of Holt and Crow (1973) in the positive case.
Keywords
Cite
@article{arxiv.1302.0956,
title = {Positive stable densities and the bell-shape},
author = {Thomas Simon},
journal= {arXiv preprint arXiv:1302.0956},
year = {2013}
}