Complete convergence for weighted sums of extended negatively dependent random variables under sub-linear expectations

Donglin Yu and Qunying Wu

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 19, 4741-4750

Abstract: Support that p ⩾ 1, {Yni, 1 ⩽ i ⩽ n, n ⩾ 1} is an array of upper extended negatively dependent random variables, there exist a random variable Y and a constant c satisfying E^(h(Yni))≤cE^(h(Y))$\mathbb {\hat{E}}(h(Y_{ni})) \le c\ \mathbb {\hat{E}}(h(Y))$, E^(|Y|2p)≤CV(|Y|2p)

Date: 2018
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DOI: 10.1080/03610926.2018.1445860

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