Laws of large numbers of negatively correlated random variables for capacities
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- Li, W. & Chen, Z. Acta Math. Appl. Sin. Engl. Ser. (2011) 27: 749. doi:10.1007/s10255-011-0102-x
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Our aim is to present some limit theorems for capacities. We consider a sequence of pairwise negatively correlated random variables. We obtain laws of large numbers for upper probabilities and 2-alternating capacities, using some results in the classical probability theory and a non-additive version of Chebyshev’s inequality and Boral-Contelli lemma for capacities.