Some concepts of positive dependence for bivariate interchangeable distributions

摘要: In this work we consider some familiar and new concepts of positive dependence for interchangeable bivariate distributions. By characterizing distributions which are positively dependent according to these concepts, indicate real situations in arise naturally. For the various families prove closure properties demonstrate all possible logical relations. Some inequalities shown applied determine whether under- (or over-) estimates, probabilistic quantities, occur when a distribution is assumed (falsely) be product its marginals (that is, two random variables assumed, falsely, independent). Specific applications reliability theory, statistical mechanics reversible Markov processes discussed.