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Yang, Wenzhi; Hu, Shuhe

Complete moment convergence of pairwise NQD random variables. (English) Zbl 1320.60086

Stochastics 87, No. 2, 199-208 (2015).
Summary: It is known that the dependence structure of pairwise negative quadrant dependent (NQD) random variables is weaker than those of negatively associated random variables and negatively orthant dependent random variables. In this article, we investigate the moving average process which is based on the pairwise NQD random variables. The complete moment convergence and the integrability of the supremum are presented for this moving average process. The results imply complete convergence and the Marcinkiewicz-Zygmund-type strong law of large numbers for pairwise NQD sequences.

Cited in 10 Documents

MSC:

60F15 Strong limit theorems
60F25 \(L^p\)-limit theorems

Keywords:

complete moment convergence; moving average process; pairwise NQD sequences; Marcinkiewicz-Zygmund strong law of large numbers
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References:

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