Sufficient conditions for negative association of random variables

DOI10.1016/S0167-7152(99)00056-5zbMath0935.62060MaRDI QIDQ1807837

Jinjin Hu, Taizhong Hu

Publication date: 8 May 2000

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

order statisticsreliabilitynegative associationnegative dependencepermutation distributionlog concavity

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Measures of association (correlation, canonical correlation, etc.) (62H20) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Order statistics; empirical distribution functions (62G30)

Related Items (4)

Stochastic monotonicity of dependent variables given their sum ⋮ Further developments on sufficient conditions for negative dependence of random variables. ⋮ Efron's monotonicity property for measures on \(\mathbb{R}^2\) ⋮ Some remarks on associated random fields, random measures and point processes

Cites Work

• Classes of orderings of measures and related correlation inequalities. II. Multivariate reverse rule distributions
• A note on the almost sure convergence of sums of negatively dependent random variables
• Moment inequalities and weak convergence for negatively associated sequences
• Negative association of random variables, with applications
• Probability inequalities via negative dependence for random variables conditioned on order statistics
• On stochastic comparison of random vectors
• Increasing Properties of Polya Frequency Function
• Polya Type Distributions of Convolutions
• Unnamed Item

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