On strong unimodality of multivariate discrete distributions |
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Authors: | Ersoy Subasi Munevver Mine Subasi |
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Institution: | RUTCOR, Rutgers Center for Operations Research, 640 Bartholomew Road, Piscataway, NJ 08854-8003, USA |
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Abstract: | A discrete function f defined on Zn is said to be logconcave if for , , . A more restrictive notion is strong unimodality. Following Barndorff-Nielsen O. Barndorff-Nielsen, Unimodality and exponential families, Commun. Statist. 1 (1973) 189-216] a discrete function is called strongly unimodal if there exists a convex function such that if . In this paper sufficient conditions that ensure the strong unimodality of a multivariate discrete distribution, are given. Examples of strongly unimodal multivariate discrete distributions are presented. |
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Keywords: | Strong unimodality Discrete logconcavity |
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