Let {Yi;−∞< i<∞} be a doubly infinite sequence of identically distributed and ϕ-mixing
random variables with zero means and finite variance and {ai;−∞< i<∞} an absolutely …

Let {Yi;−∞< i<∞} be a doubly infinite sequence of identically distributed and φ-mixing
random variables,{ai;−∞< i<∞} an absolutely summable sequence of real numbers. In this …

Let {Yi,−∞< i<∞} be a doubly infinite sequence of identically distributed and φ-mixing
random variables,{ai,−∞< i<∞} an absolutely summable sequence of real numbers. In this …

Let {Yi:−∞< i<∞} be a sequence of identically distributed φ-mixing random variables, and
{ai:−∞< i<∞} an absolutely summable sequence of real numbers. In this work we prove the …

Complete convergence and complete integral convergence of partial sums Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 7(6): 9694–9715. DOI: 10.3934/math.2022540 Received: 25 December …

Under some simple conditions, by using some techniques such as truncated method for
random variables (see eg, Gut (2005)) and properties of martingale differences, we studied …

We obtain new complete convergence results for weighted sums of independent random
variables. As a corollary, we obtain a result on the rate of convergence of moving average …

The present paper first shows that, without any dependent structure assumptions for a
sequence of random variables, the refined results of the complete convergence for the …

We study complete convergence of martingale arrays under rather weak conditions. Our
results considerably strengthen many of the results available in the literature. As a tool, we …

In this paper, we investigate the complete convergence and complete moment convergence
of asymptotically almost negatively associated random variables with random coefficients …