Authors: Henry W. Block , Thomas H. Savits , Moshe Shaked - The Annals of Probability 1982 cited by 295
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.
✨ Checking sign-in… PDF Cited by View BibTeX Hide BibTeX View BibTeX Cite
Some Concepts of Dependence Some Concepts of Dependence Distribution in Statistics: Discrete… Distribution in Statistics: Discrete Distributions Statistical Theory of Reliability and Life… Statistical Theory of Reliability and Life Testing Probability Models Statistical Theory of Reliability and Life… Statistical Theory of Reliability and Life Testing-Probability Models Classes of orderings of measures and related… Classes of orderings of measures and related correlation inequalities II. Multivariate reverse rule distributions Multivariate negative dependence Multivariate negative dependence Multivariate negative dependence Multivariate negative dependence Positive dependence in multivariate… Positive dependence in multivariate distributions Negative Association of Random Variables with… Negative Association of Random Variables with Applications Asymptotic independence and limit theorems for… Asymptotic independence and limit theorems for positively and negatively dependent random variables Open and closed models for networks of queues Open and closed models for networks of queues A concept of negative dependence using… A concept of negative dependence using stochastic ordering Centering Sequences with Bounded Differences Centering Sequences with Bounded Differences Kaplan–Meier Estimator under Association Kaplan–Meier Estimator under Association A Comparison Theorem on Moment Inequalities… A Comparison Theorem on Moment Inequalities Between Negatively Associated and Independent Random Variables Precise large deviations for dependent random… Precise large deviations for dependent random variables with heavy tails Uniform Asymptotics for the Finite-Time Ruin… Uniform Asymptotics for the Finite-Time Ruin Probability of a Dependent Risk Model with a Constant Interest Rate Technical Note - An Unexpected Stochastic… Technical Note - An Unexpected Stochastic Dominance: Pareto Distributions, Dependence, and Diversification Some Concepts of Negative Dependence Some Concepts of Negative Dependence Earlier references Focus paper Citing papers Older Newer Click a node to pin it, click the empty canvas to go back to this paper, or hover to preview. Open a node’s page from its title.
