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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. 相似文献
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Jonathan Lenchner 《Discrete Applied Mathematics》2011,159(7):612-620
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Quadratic minimisation problems in statistics 总被引:1,自引:0,他引:1
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Aiguo Lu Hongwei LiuXiuyun Zheng Weijie Cong 《Applied mathematics and computation》2011,217(12):5547-5552