2015•Siberian Advances in MathematicsRequires access

On complete convergence of moving average processes for NSD sequences

Mohammad Amini, Abolghassem Bozorgnia, Habib Naderi, Andrei Igorevich Volodin

Abstract

We study the complete convergence of moving-average processes based on an identically distributed doubly infinite sequence of negatively superadditive-dependent random variables. As a corollary, the Marcinkiewicz-Zygmund strong law of large numbers is obtained.

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Key concepts: Corollary, Superadditivity, Mathematics, Independent and identically distributed random variables, Sequence (biology), Law of large numbers, Convergence (economics), Moving average