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

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

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 equiva...

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Veröffentlicht in:Mathematics (Basel) 2023-08, Vol.11 (16), p.3494
Hauptverfasser: Sun, Peiyu, Wang, Dehui, Tan, Xili
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
complete convergence
Convergence
Convergence (Mathematics)
Equivalence
Expectation-maximization algorithm
Food science
ND random variables
Random variables
sublinear expectation space
Weighting (Statistics)
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11163494