%0 Journal Article
%T Unimodality of hitting times for stable processes
%A Julien Letemplier
%A Thomas Simon
%J Mathematics
%D 2013
%I arXiv
%X We show that the hitting times for points of real $\alpha-$stable L\'evy processes ($1<\alpha\le 2$) are unimodal random variables. The argument relies on strong unimodality and several recent multiplicative identities in law. In the symmetric case we use a factorization of Yano et al., whereas in the completely asymmetric case we apply an identity of the second author. The method extends to the general case thanks to a fractional moment evaluation due to Kuznetsov et al.
%U http://arxiv.org/abs/1309.5321v2