Complete <i>q</i>th-Moment Convergence of Moving Average Process for <i>m</i>-WOD Random Variable

Further research on complete moment convergence for moving average process of a class of random variables

In this article, the complete moment convergence for the partial sum of moving average processes [Formula: see text] is established under some mild conditions, where [Formula: see text] is a doubly infinite sequence of random variables satisfying the Rosenthal type maximal inequality and [Formula: see text] is an absolutely summable sequence of real numbers. These conclusions promote and improv...

Complete Convergence for Moving Average Process of Martingale Differences

On Complete Convergence of Moving Average Process for AANA Sequence

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

Complete convergence of moving-average processes under negative dependence sub-Gaussian assumptions

The complete convergence is investigated for moving-average processes of doubly infinite sequence of negative dependence sub-gaussian random variables with zero means, finite variances and absolutely summable coefficients. As a corollary, the rate of complete convergence is obtained under some suitable conditions on the coefficients.