Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space

Peiyu Sun, Dehui Wang and Xili Tan ()
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Peiyu Sun: School of Mathematics, Jilin University, Changchun 130012, China
Dehui Wang: School of Mathematics and Statistics, Liaoning University, Shenyang 110031, China
Xili Tan: School of Mathematics and Statistics, Beihua University, Jilin 132013, China

Mathematics, 2023, vol. 11, issue 16, 1-16

Abstract: We investigate the complete convergence for weighted sums of sequences of negative dependence (ND) random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space. Using moment inequality and truncation methods, we prove the equivalent conditions of complete convergence for weighted sums of sequences of ND random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space.

Keywords: complete convergence; ND random variables; sublinear expectation space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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