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 Complete $f$-moment convergence for extended negatively dependent random variables under sub-linear expectations J. Korean Math. Soc.Published online August 3, 2020 Chao Lu, Rui Wang, Xuejun Wang, and Yi Wu Anhui University Abstract : In this paper, we investigate the complete $f$-moment convergence for extended negatively dependent (END, for short) random variables under sub-linear expectations. We extend some results on complete $f$-moment convergence from the classical probability space to the sub-linear expectation space. As applications, we present some corollaries on complete moment convergence for END random variables under sub-linear expectations. Keywords : END random variables; Complete convergence; Complete moment convergence; Complete $f$-moment convergence; Sub-linear expectations MSC numbers : 60F15 Full-Text :