Abstract In this paper, we study the complete convergence and moment of linear processes generated by negatively dependent random variables under sub-linear expectations. The obtained results complement ones Meng, Wang, Wu (Commun. Stat., Theory Methods 52(9):2931–2945, 2023) in case

For a sequence of pairwise negative quadrant dependent random variables {Xn, n ≥ 1}, conditions are given under which normed and centered partial sums converge to 0 almost certainly. As special cases, new results are obtained for weighted sums { ∑n j=1 ajXj , n ≥ 1} where {an, n ≥ 1} is a sequence of positive constants and the {Xn, n ≥ 1} are also identically distributed. A result of Matu la [1...

and Applied Analysis 3 in probability. If E|X| log|X| < ∞, for 1 α β 0, E|X| 1 α β /γ < ∞, for 1 α β > 0, 1.8 then 1.5 holds. In this paper, we extend Theorem 1.3 to negatively associated and negatively dependent random variables. We also obtain similar results for sequences of φ-mixing and ρ∗-mixing random variables. Our results improve and generalize the results of Baek et al. 4 , Kuczmaszews...