Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications

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Rosenthal’s inequalities for independent and negatively dependent random variables under sub-linear expectations with applications (2014, methodology): “ties. For moment inequalities of partial sums of the classical negatively dependent random variables and related strong limit theorems, one can refer to Shao [18], Su, Zhao and Wang [17], Yuan and An [19], Zhang [20] [21] [22], Zhang and Wen [23] etc. Some techniques from these papers will be used i”
On asymptotic approximation of inverse moments for a class of nonnegative random variables (2014, background): “See for example, φ mixing identically distributed random variables with ∑∞ n= φ1/2(2n) < ∞ (see [19]), ρ mixing identically distributed random variables with ∑∞ n= ρ2/p(2n) < ∞ (see [20]), negatively associated random variables (see [21]), ρ̃ mixing random variables (see [22]), negatively dependent ”