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Some counterexamples in positive dependence

✍ Scribed by Taizhong Hu; Alfred Müller; Marco Scarsini

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
176 KB
Volume
124
Category
Article
ISSN
0378-3758

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✦ Synopsis

We provide some counterexamples showing that some concepts of positive dependence are strictly stronger than others. In particular we will settle two questions posed by Pemantle (J. Math. Phys. 41 (2000) 1371) and Pellerey (Personal communication, 2002) concerning respectively association versus weak association, weak association versus supermodular dependence, and supermodular dependence versus positive orthant dependence.

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