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RISOn the strong convergence for weighted sums of ρ* mixing random variables
Complete convergence of weighted sums of dominated dependent random sequences
In this paper, we study complete convergence for weighted sums of dependent random sequences. In particular, we obtain the Hsu-Robbins-Erdos type theorem for dependent random variables, dominated in a sense by independent random variables. Moreover...
Equivalent conditions of complete moment convergence of weighted sums for mixing sequence of random variables
Closure property and maximum of randomly weighted sums with heavy tailed increments
COMPLETE CONVERGENCE and SOME MAXIMAL
Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence...
On complete convergence for weighted sums of asymptotically linear negatively dependent random field
On the strong convergence for weighted sums of negatively associated random variables
Small deviation probabilities of weighted sums under minimal moment assumptions
Strong convergence of weighted sums for negatively orthant dependent random variables
We discuss in this paper the strong convergence for weighted sums of negatively orthant dependent (NOD) random variables by generalized Gaussian techniques. As a corollary, a Cesaro law of large numbers of i.i.d. random variables is extended...