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Exponential inequalities for N-demimartingales and negatively associated random variables. (English) Zbl 1180.60016
The class of \(N\)-demimartingales generalizes the concept of negative association and includes as special cases martingales with respect to the natural choice of \(\sigma\)-algebras. The authors derive Azuma type inequality for \(N\)-demimartingales and obtain an exponential inequality for negatively associated random variables as a corollary.

MSC:
60E15 Inequalities; stochastic orderings
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