Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences - Applied Mathematics

AM > Vol.8 No.11, November 2017

Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences ()

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Download as PDF (Size: 293KB) PP. 1662-1670

DOI: 10.4236/am.2017.811120 859 Downloads 1,465 Views

Author(s)

Jun An

Affiliation(s)

College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, China.

ABSTRACT

For weighted sums of asymptotically almost negatively associated (AANA) random variables sequences, we use the Rosenthal type moment inequalities and prove the Marcinkiewicz-Zygmund type complete convergence and obtain the complete convergence rates. Our results extend some known ones.

KEYWORDS

Asymptotically Almost Negatively Associated, Weighted Sums, Complete Convergence

Share and Cite:

An, J. (2017) Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences. Applied Mathematics, 8, 1662-1670. doi: 10.4236/am.2017.811120.

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