English

alpha-stable densities are HCM for alpha \in ]0,1/4] and [1/3,1/2]

Probability 2013-09-10 v2

Abstract

We investigate the problem raised by L. Bondesson, about the hyperbolic complete monotonicity of α\alpha-stable densities. We prove that densitites of subordinators of order α\alpha are HCM for α]0,1/4][1/3,1/2]\alpha \in ]0,1/4] \cup [1/3,1/2].

Keywords

Cite

@article{arxiv.1309.1045,
  title  = {alpha-stable densities are HCM for alpha \in ]0,1/4] and [1/3,1/2]},
  author = {Sonia Fourati},
  journal= {arXiv preprint arXiv:1309.1045},
  year   = {2013}
}