| Abstrakt: |
In this paper, a new concept of rowwise m n -extended negatively dependent (rowwise m n -END) random variables, which is wider than some known dependent structures such as END, widely orthant dependence (WOD) and so on, is introduced, and complete moment convergence for randomly weighted sums of rowwise m n -END arrays are investigated under some proper and sufficient conditions. In addition, a relationship between { m n , n ≥ 1 } , dominating sequence and moment conditions for convergence is in a sense revealed. The results obtained in the paper generalise some corresponding ones for independent and some dependent random variables. As applications, strong convergence for elements of a linear autoregression model and complete convergence for randomly indexed sums of sequences of WOD random variables are established. [ABSTRACT FROM AUTHOR] |
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