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Some counterexamples in positive dependence

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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Submitted on : Wednesday, November 24, 2010 - 5:52:42 PM
Last modification on : Thursday, January 11, 2018 - 6:19:31 AM

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

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