Aspects of Negative Dependence Structures

DOI10.1080/03610926.2011.588362zbMath1269.60020OpenAlexW2096992532MaRDI QIDQ4921648

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Publication date: 13 May 2013

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2011.588362

zbMATH Keywords

negative associationnegative orthant dependencelinear negative dependencenegative superadditive dependencestrong negative orthant dependence

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Measures of association (correlation, canonical correlation, etc.) (62H20) Characterization and structure theory of statistical distributions (62E10)

Related Items (2)

Pairwise counter-monotonicity ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Dependence structures of multivariate Bernoulli random vectors
• Independence via uncorrelatedness under certain dependence structures
• Stochastic orders
• Dependence structures in which uncorrelatedness implies independence
• A multivariate extension of Hoeffding's lemma
• Weak association of random variables
• Positively correlated normal variables are associated
• A connection between supermodular ordering and positive/negative association.
• Further developments on sufficient conditions for negative dependence of random variables.
• Some remarks on the supermodular order
• How to transform correlated random variables into uncorrelated ones
• Setwise independence for some dependence structures
• Negative association of random variables, with applications
• Some counterexamples in positive dependence
• Some Concepts of Dependence
• Association of Random Variables, with Applications

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