Unimodality of the freely selfdecomposable probability laws

Takahiro Hasebe, Steen Thorbjørnsen

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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).

OriginalsprogEngelsk
TidsskriftJournal of Theoretical Probability
Vol/bind29
Nummer3
Sider (fra-til)922-940
Antal sider19
ISSN0894-9840
DOI
StatusUdgivet - 2016

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