Sung, Soo Hak; Lisawadi, Supranee; Volodin, Andrei Weak laws of large numbers for arrays under a condition of uniform integrability. (English) Zbl 1136.60319 J. Korean Math. Soc. 45, No. 1, 289-300 (2008). Summary: For an array of dependent random variables satisfying a new notion of uniform integrability, weak laws of large numbers are obtained. Our results extend and sharpen the known results in the literature. Cited in 4 ReviewsCited in 18 Documents MSC: 60F05 Central limit and other weak theorems 60F25 \(L^p\)-limit theorems 60G42 Martingales with discrete parameter Keywords:\(r\)-mean convergence; convergence in probability; martingale difference sequence; negative association; negative dependence PDF BibTeX XML Cite \textit{S. H. Sung} et al., J. Korean Math. Soc. 45, No. 1, 289--300 (2008; Zbl 1136.60319) Full Text: DOI