Open Access
August, 1982 On Strongly Unimodal Infinitely Divisible Distributions
Makoto Yamazato
Ann. Probab. 10(3): 589-601 (August, 1982). DOI: 10.1214/aop/1176993769


There are many results as to unimodality of infinitely divisible distributions. But few are known about strong unimodality of infinitely divisible distributions. In this paper, we consider two subclasses of infinitely divisible distributions and give necessary and sufficient conditions for strong unimodality of distributions belonging to such classes.


Download Citation

Makoto Yamazato. "On Strongly Unimodal Infinitely Divisible Distributions." Ann. Probab. 10 (3) 589 - 601, August, 1982.


Published: August, 1982
First available in Project Euclid: 19 April 2007

zbMATH: 0495.60021
MathSciNet: MR659530
Digital Object Identifier: 10.1214/aop/1176993769

Primary: 60E05

Keywords: completely monotone density , infinitely divisible distribution , log concave function , Strongly unimodal distribution

Rights: Copyright © 1982 Institute of Mathematical Statistics

Vol.10 • No. 3 • August, 1982
Back to Top