document: On bivariate dependence and the convex order We investigate the interplay between variability -LRB- in the sense of the convex order -RRB- and dependence in a bivariate framework , extending some previous results in this area . We exploit the fact that discrete uniform distributions are dense in the space of probability measures in the topology of weak convergence to prove our central result . We also obtain a partial result in the general multivariate case . Our findings can be interpreted in terms of the impact of component variability on the mean life of correlated serial and parallel systems
doc_bio_tags: O B I O O B I O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O B I O O B O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O B I O O O O B I
extractive_keyphrases: bivariate dependence convex order discrete uniform distributions probability measures topology weak convergence component variability mean life parallel systems
abstractive_keyphrases: serial systems bivariate probability distributions