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Complete moment convergence of weighted sums for asymptotically negatively associated random variables

Abstract. In this study, the authors consider the complete moment convergence for weighted sums of asymptotically negatively associated (ANA) random variables without making any assumptions of the distributions. Some equivalent… Click to show full abstract

Abstract. In this study, the authors consider the complete moment convergence for weighted sums of asymptotically negatively associated (ANA) random variables without making any assumptions of the distributions. Some equivalent conditions of the complete moment convergence for the maximum weighted form of ANA random variables are established. The main results extend and improve the related studies in the literature.

Keywords: random variables; convergence weighted; moment convergence; complete moment

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2024

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