Complete convergence and complete moment convergence for widely orthant-dependent random variables

Ding, Yang; Wu, Yi; Ma, Shaoping; Tao, Xinran; Wang, Xuejun

doi:10.1080/03610926.2016.1177085

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2018

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Cited by 14 publications

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“…Recently, Cai [5] complemented the result of Peligrad and Gut [4] for the case . For more details about this type of complete convergence theorem, one can refer to Huang et al [6], Wang and Hu [7], Deng et al [8], Ding et al [9], Wu et al [10] among others.…”

Section: Introductionmentioning

confidence: 97%

Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables

Huang

Zhang

2018

J Inequal Appl

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In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution. As an application of the main results, the Marcinkiewicz–Zygmund type strong law of large numbers based on weighted sums of ANA cases is obtained. The results of this paper extend and generalize some well-known corresponding ones.

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