This paper proves a converse to a theorem of L. D. Brown and Y. Rinott concerning positive dependence ordering for multivariate compound Poisson distributions.
@article{1176991778,
author = {Ellis, Richard S.},
title = {Inequalities for Multivariate Compound Poisson Distributions},
journal = {Ann. Probab.},
volume = {16},
number = {4},
year = {1988},
pages = { 658-661},
language = {en},
url = {http://dml.mathdoc.fr/item/1176991778}
}
Ellis, Richard S. Inequalities for Multivariate Compound Poisson Distributions. Ann. Probab., Tome 16 (1988) no. 4, pp. 658-661. http://gdmltest.u-ga.fr/item/1176991778/