A Kind of Complete Moment Convergence for Sums of Independent and Nonidentically Distributed Random Variables

Bao Wang and Quanxin Zhu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Let {X, Xn, n ≥ 1} be a sequence of independent and nonidentically distributed random variables. We obtain a new kind of complete moment convergence for their sums under the Lyapunov condition. Moreover, our result extends and improves the corresponding result of the independent and identically distributed (i.i.d.) cases.

Date: 2014
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https://doi.org/10.1155/2014/379417

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:379417

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