Complete convergence of moving-average processes under negative dependence sub-Gaussian assumptions

Document Type: Research Paper

Authors

1 Ferdowsi University of Mashhad

2 University of Birjand

Abstract

The complete convergence is investigated for moving-average processes of doubly infinite sequence of negative dependence sub-gaussian random variables with zero means, finite variances and absolutely summable coefficients. As a corollary, the rate of complete convergence is obtained under some suitable conditions on the coefficients.

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Main Subjects