Supermodular ordering of Poisson and binomial random vectors by tree-based correlations
2018 ◽
Vol 38
(2)
◽
pp. 385-405
Keyword(s):
We construct a dependence structure for binomial, Poisson and Gaussian random vectors, based on partially ordered binary trees and sums of independent random variables. Using this construction, we characterize the supermodular ordering of such random vectors via the componentwise ordering of their covariance matrices. For this, we apply Möbius inversion techniques on partially ordered trees, which allow us to connect the Lévy measures of Poisson random vectors on the discrete d-dimensional hypercube to their covariance matrices.
1963 ◽
Vol 59
(2)
◽
pp. 411-416
1990 ◽
Vol 34
(2)
◽
pp. 327-332
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Keyword(s):
Keyword(s):
2014 ◽
Vol 59
(2)
◽
pp. 553-562
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1985 ◽
Vol 29
(4)
◽
pp. 707-718
◽
Keyword(s):
1965 ◽
Vol 2
(02)
◽
pp. 352-376
◽
1991 ◽
Vol 14
(2)
◽
pp. 381-384
Keyword(s):