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Tail probabilities and complete convergence for weighted sequences of LNQD random variables with application to first-order autoregressive processes model

Zouaouia Boulenoir

Abstract



In this paper, we establish a new concentration inequality and complete convergence of weighted sums for arrays of rowwise linearly negative quadrant dependent (LNQD, in short)
random variables and obtain a result dealing with complete convergence of first-order autoregressive processes with identically distributed LNQD innovations.

Keywords


Autoregressive process, complete convergence, estimation, tail probabilities, LNQD sequence, random variables, weighted sums.

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