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On complete convergence of moving average processes for NSD sequences. (English) Zbl 1328.60082

Summary: 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.

MSC:

60F15 Strong limit theorems
26A12 Rate of growth of functions, orders of infinity, slowly varying functions
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