Multiplicative strong unimodality for positive stable laws

Details Multiplicative strong unimodality for positive stable laws Multiplicative strong unimodality for positive stable laws

2010-02-26

arxiv.org/abs/1002.4977v1

Mathematics

Probability

Scientific paper

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 $\alpha-$stable laws are multiplicative strongly unimodal iff $\alpha\le 1/2.$

Affiliated with

Also associated with

No associations

Rating

Multiplicative strong unimodality for positive stable laws does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multiplicative strong unimodality for positive stable laws, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiplicative strong unimodality for positive stable laws will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289790