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Complete convergence and complete moment convergence for maximal randomly weighted sums of widely orthant-dependent random variables with applications

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Abstract In this paper, the complete convergence and the complete moment convergence for maximal randomly weighted sums of widely orthant-dependent (WOD, in short) random variables are investigated. By using the… Click to show full abstract

Abstract In this paper, the complete convergence and the complete moment convergence for maximal randomly weighted sums of widely orthant-dependent (WOD, in short) random variables are investigated. By using the main results, we further consider three striking and useful applications in probability and statistics. Our results generalize the corresponding earlier ones.

Keywords: complete convergence; complete moment; convergence maximal; convergence complete; convergence; moment convergence

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2019

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