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Some limit theorems for negatively associated random variables. (English) Zbl 1308.60032
Summary: Let \(\{X_n: n\geq 1\}\) be a sequence of negatively associated random variables. The aim of this paper is to establish some limit theorems for the negatively associated sequence, which include the \(L^p\)-convergence theorem and the Marcinkiewicz-Zygmund strong law of large numbers. Furthermore, we consider the strong law of sums of order statistics, which are sampled from negatively associated random variables.

MSC:
60F15 Strong limit theorems
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