Complete Moment Convergence for Sung’s Type Weighted Sums of -Valued Random Elements

Wei Li, Pingyan Chen and Soo Hak Sung

Discrete Dynamics in Nature and Society, 2016, vol. 2016, 1-8

Abstract:

Let and Let be a sequence of independent and identically distributed -valued random elements and let be an array of real numbers satisfying for some We give necessary and sufficient conditions for complete moment convergence of the form , where A strong law of large numbers for weighted sums of independent -valued random elements is also obtained.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:1484160

DOI: 10.1155/2016/1484160

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