A Functional Central Limit Theorem for Asymptotically Negatively Dependent Random Fields

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Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications (2009, result): “Proof. By noting the definition of an AANA sequence, the proof is similar to that of Lemma 3.1 in [ 13 ] with q(n) taking the place of its ρ − (X, Y ).”
Rosenthal’s inequalities for independent and negatively dependent random variables under sub-linear expectations with applications (2014, background): “For moment inequalities of partial sums of the classical negatively dependent random variables and related strong limit theorems, one can refer to Shao (2000), Su, Zhao and Wang (1997), Yuan and An (2009), Zhang (2000, 2001a, 2001b), Zhang and Wen (2001) etc.”
Inequalities of Maximum of Partial Sums and Weak Convergence for a Class of Weak Dependent Random Variables (2006, result): “Proof of Lemma 3.2 The proof of the first inequality is similar to the proofs of Lemma 3.3 in [ 2 ] and Theorem 2.1 in [1] with only some changes.”