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High Dimensional Probability VIStrong Log-concavity is Preserved by Convolution

High Dimensional Probability VI: Strong Log-concavity is Preserved by Convolution [We review and formulate results concerning strong-log-concavity in both discrete and continuous settings. Although four different proofs of preservation of strong log-concavity are known in the discrete setting (where strong log-concavity is known as “ultra-log-concavity”), preservation of strong logconcavity under convolution has apparently not been investigated previously in the continuous case.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

High Dimensional Probability VIStrong Log-concavity is Preserved by Convolution

Part of the Progress in Probability Book Series (volume 66)
Editors: Houdré, Christian; Mason, David M.; Rosiński, Jan; Wellner, Jon A.

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References (33)

Publisher
Springer Basel
Copyright
© Springer Basel 2013
ISBN
978-3-0348-0489-9
Pages
95 –102
DOI
10.1007/978-3-0348-0490-5_7
Publisher site
See Chapter on Publisher Site

Abstract

[We review and formulate results concerning strong-log-concavity in both discrete and continuous settings. Although four different proofs of preservation of strong log-concavity are known in the discrete setting (where strong log-concavity is known as “ultra-log-concavity”), preservation of strong logconcavity under convolution has apparently not been investigated previously in the continuous case.]

Published: Apr 1, 2013

Keywords: Log-concave; ultra log-concave; strongly log-concave; convolution.

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