2013
DOI: 10.1155/2013/947487
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On Complete Convergence for Weighted Sums ofρ*-Mixing Random Variables

Abstract: We prove the strong law of large numbers for weighted sums∑i=1n‍aniXi, which generalizes and improves the corresponding one for independent and identically distributed random variables andφ-mixing random variables. In addition, we present some results on complete convergence for weighted sums ofρ*-mixing random variables under some suitable conditions, which generalize the corresponding ones for independent random variables.

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Cited by 2 publications
(1 citation statement)
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“…Calculation processes performed by the WSM method are simply to add the multiplication result of an alternative value with weighted criteria [6]. Meanwhile, in the MADMWP method, it is calculated by multiplying the result reappointment criteria values with weighted criteria [7].…”
Section: Introductionmentioning
confidence: 99%
“…Calculation processes performed by the WSM method are simply to add the multiplication result of an alternative value with weighted criteria [6]. Meanwhile, in the MADMWP method, it is calculated by multiplying the result reappointment criteria values with weighted criteria [7].…”
Section: Introductionmentioning
confidence: 99%