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Journal Articles Journal of Statistical Planning and Inference Year : 2004

Some counterexamples in positive dependence

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Abstract

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 (2000) and Pellerey (2002) concerning respectively association versus weak association, weak association versus supermodular dependence, and supermodular dependence versus positive orthant dependence.

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hal-00539628 , version 1 (24-11-2010)

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Marco Scarsini, A. Müller, Taizhong Hu. Some counterexamples in positive dependence. Journal of Statistical Planning and Inference, 2004, Vol. 124, N°1, pp. 153-158. ⟨10.1016/S0378-3758(03)00201-5⟩. ⟨hal-00539628⟩

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