Complete Convergence of the Maximum Partial Sums for Arrays of Rowwise of AANA Random Variables

Aiting Shen, Ranchao Wu, Yan Chen and Yu Zhou

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-7

Abstract:

The limiting behavior of the maximum partial sums is investigated, and some new results are obtained, where is an array of rowwise AANA random variables and is a sequence of positive real numbers. As an application, the Chung-type strong law of large numbers for arrays of rowwise AANA random variables is obtained. The results extend and improve the corresponding ones of Hu and Taylor (1997) for arrays of rowwise independent random variables.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:741901

DOI: 10.1155/2013/741901

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