Unimodality of the Freely Selfdecomposable Probability Laws

Takahiro Hasebe () and Steen Thorbjørnsen ()
Additional contact information
Takahiro Hasebe: Université de Franche-Comté
Steen Thorbjørnsen: University of Aarhus

Journal of Theoretical Probability, 2016, vol. 29, issue 3, 922-940

Abstract: Abstract We show that any freely selfdecomposable probability law is unimodal. This is the free probabilistic analog of Yamazato’s result in (Ann. Probab. 6:523–531, 1978).

Keywords: Free probability; Free convolution; Free selfdecomposability; Unimodality; Yamazato’s theorem; 46L54 (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10959-015-0595-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:29:y:2016:i:3:d:10.1007_s10959-015-0595-y

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-015-0595-y

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().