Positive dependence and monotonicity in conditional distributions
- 1 January 1976
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 5 (6) , 525-534
- https://doi.org/10.1080/03610927608827372
Abstract
Positively dependent random variables exhibit the property that an extreme value of one of the variables tends to be accompanied by extreme values of the others. In this paper we define two notions of positive dependence which lead to monotonicity theorems for conditional distributions.Keywords
This publication has 8 references indexed in Scilit:
- On a Multiple Decision RuleThe Annals of Statistics, 1973
- Events which are Almost IndependentThe Annals of Statistics, 1973
- Dependence and Aging Aspects of Multivariate SurvivalJournal of the American Statistical Association, 1972
- Relationships Among Some Concepts of Bivariate DependenceThe Annals of Mathematical Statistics, 1972
- A Multivariate Definition for Increasing Hazard Rate Distribution FunctionsThe Annals of Mathematical Statistics, 1970
- A Multivariate Exponential DistributionJournal of the American Statistical Association, 1967
- The Theory of Decision Procedures for Distributions with Monotone Likelihood RatioThe Annals of Mathematical Statistics, 1956
- Ordered Families of DistributionsThe Annals of Mathematical Statistics, 1955