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In this note, a fairly general result, which extends and improves some previous known results, on the complete moment convergence for arrays of rowwise negatively associated random variables is established.
Some exponential probability inequalities for widely negative orthant dependent (WNOD, in short) random variables are established, which can be treated as very important roles to prove the strong law of large numbers among others in probability theory and mathematical statistics. By using the exponential probability inequalities, we study the complete convergence for arrays of rowwise WNOD random...
In this paper, the equivalent conditions of complete moment convergence of the maximum partial weighted sums for negatively superadditive dependent (NSD) random variables are established without the assumption of identical distribution. As applications, the complete moment convergence, the complete convergence and strong law of large numbers for NSD random variables are obtained. The results obtained...
Some equivalent conditions of complete moment and complete integral convergence for a class of dependent random variables are established. The results obtained in this paper extend the corresponding ones for negatively associated random variables. As applications, we present some results for specific sequences of random variables, such as $$\rho $$ ρ -mixing, $$\rho ^{*}$$ ρ∗ -mixing, $$\varphi $$...
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