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.
Publié le : 1982-08-14
Classification:
Multinomial,
Dirichlet,
multivariate hypergeometric,
multivariate normal,
$\mathrm{PF}_2$ densities,
total positivity,
negative and positive dependence,
inequalities,
62H20,
62H05,
62E10,
60E05
@article{1176993784,
author = {Block, Henry W. and Savits, Thomas H. and Shaked, Moshe},
title = {Some Concepts of Negative Dependence},
journal = {Ann. Probab.},
volume = {10},
number = {4},
year = {1982},
pages = { 765-772},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993784}
}
Block, Henry W.; Savits, Thomas H.; Shaked, Moshe. Some Concepts of Negative Dependence. Ann. Probab., Tome 10 (1982) no. 4, pp. 765-772. http://gdmltest.u-ga.fr/item/1176993784/