Open Access
August, 1982 Some Concepts of Negative Dependence
Henry W. Block, Thomas H. Savits, Moshe Shaked
Ann. Probab. 10(3): 765-772 (August, 1982). DOI: 10.1214/aop/1176993784


The theory of positive dependence notions cannot yield useful results for some widely used distributions such as the multinomial, Dirichlet and the multivariate hypergeometric. Some conditions of negative dependence that are satisfied by these distributions and which have practical meaning are introduced. Useful inequalities for some widely used distributions are obtained.


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Henry W. Block. Thomas H. Savits. Moshe Shaked. "Some Concepts of Negative Dependence." Ann. Probab. 10 (3) 765 - 772, August, 1982.


Published: August, 1982
First available in Project Euclid: 19 April 2007

zbMATH: 0501.62037
MathSciNet: MR659545
Digital Object Identifier: 10.1214/aop/1176993784

Primary: 62H20
Secondary: 60E05 , 62E10 , 62H05

Keywords: $\mathrm{PF}_2$ densities , Dirichlet , Inequalities‎ , Multinomial , multivariate hypergeometric , multivariate normal , negative and positive dependence , total positivity

Rights: Copyright © 1982 Institute of Mathematical Statistics

Vol.10 • No. 3 • August, 1982
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