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Unimodality of the Freely Selfdecomposable Probability Laws

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Title: Unimodality of the Freely Selfdecomposable Probability Laws
Authors: Hasebe, Takahiro Browse this author →KAKEN DB
Thorbjornsen, Steen Browse this author
Keywords: Free probability
Free convolution
Free selfdecomposability
Unimodality
Yamazato's theorem
Issue Date: Sep-2016
Publisher: Springer
Journal Title: Journal of theoretical probability
Volume: 29
Issue: 3
Start Page: 922
End Page: 940
Publisher DOI: 10.1007/s10959-015-0595-y
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).
Rights: The final publication is available at link.springer.com
Type: article (author version)
URI: http://hdl.handle.net/2115/67096
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 長谷部 高広

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