Convergence rates in precise asymptotics for a kind of complete moment convergence

On the Precise Asymptotics in Complete Moment Convergence of Moving Average Processes under NA Random Variables

Let {ε i | − ∞ < i < ∞} be a sequence of identically distributed negatively associated random variables and {a i | − ∞ < i < ∞} a sequence of real numbers with

Precise Asymptotics in Complete Moment Convergence of the Uniform Empirical Process

In this paper, we investigate the Precise asymptotics in complete moment convergence of the uniform empirical process.

Precise Asymptotics for the Moment Convergence of Moving-average Process under Dependence

Let {εi : −∞ < i < ∞} be a strictly stationary sequence of linearly positive quadrant dependent random variables and P∞ i=−∞ |ai| < ∞. In this paper, we prove the precise asymptotics in the law of iterated logarithm for the moment convergence of moving-average process of the form Xk = P∞ i=−∞ ai+kεi, k ≥ 1.

Asymptotics for the Moment Convergence of U-Statistics in LIL

Complete convergence and complete moment convergence for arrays of rowwise ANA random variables

In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52:447-454, 2011), Zhou et al. (J. Inequal. Appl. 2011:157816, 2011), and Sung (Stat. Pap. 54:773-781, 2013) to the case of ANA ...