We provide some counterexamples showing that some concepts of positive dependence arestrictly 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
Some counterexamples in positive dependence / Hu, T.; Mueller, A.; Scarsini, Marco. - In: JOURNAL OF STATISTICAL PLANNING AND INFERENCE. - ISSN 0378-3758. - 124:(2004), pp. 153-158.
Some counterexamples in positive dependence
SCARSINI, MARCO
2004
Abstract
We provide some counterexamples showing that some concepts of positive dependence arestrictly 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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