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Huan, Nguyen Van; Quang, Nguyen Van. Some strong limit theorems for weighted sums of measurable operators. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24 (2021), no. 4, Paper No. 2150022, 15 pp
Authors: Huan, Nguyen Van; Quang, Nguyen Van
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Anal. Quantum Probab. Relat. Top.
: 4     : Paper No. 2150022, 15 pp
: https://doi.org/10.1142/S0219025721500223
Publishing year: 12/2021
Negative association and negative dependence for random upper semicontinuous functions, with applications, 145 (2016), 44--57Multidimensional and Multivalued Ergodic Theorems for Measure-Preserving Transformations 24, 4, 637–658.Strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in metris spaces. Appl. Math. 61 (2016), no. 6, 669--684The strong laws of large numbers for positive measurable operators and applications. Statist. Probab. Lett. 124 (2017), 110--120Quang, Nguyen Van; Son, Do The; Son, Le Hong. Some kinds of uniform integrability and laws of large numbers in noncommutative probability. J. Theoret. Probab. 31 (2018), no. 2, 1212--1234.Quang, Nguyen Van; Duyen, Hoang Thi. Convergence of weighted sums and strong law of large numbers for convex compact integrable random sets and fuzzy random sets. J. Convex Anal. 24 (2017), no. 1, 213--238Quang, Nguyen Van; Duyen, Hoang Thi. Complete convergence and strong laws of large numbers for double arrays of convex compact integrable random sets and applications for random fuzzy variables. J. Convex Anal. 25 (2018), no. 3, 841--860.Quang, Nguyen Van; Son, Do The; Hu, Tien-Chung; Huan, Nguyen Van. Mean convergence theorems and weak laws of large numbers for arrays of measurable operators under some conditions of uniform integrability. Lobachevskii J. Math. 40 (2019), no. 8, 1218--1229.Quang, Nguyen Van; Giap, Duong Xuan; Ngoc, Bui Nguyen Tram; Hu, Tien-Chung. Some strong laws of large numbers for double arrays of random sets with gap topology. J. Convex Anal. 26 (2019), no. 3, 719--738 Giap, Duong Xuan; Huan, Nguyen Van; Ngoc, Bui Nguyen Tram; Quang, Nguyen Van. Multivalued strong laws of large numbers for triangular arrays with gap topology. J. Convex Anal. 27 (2020), no. 4, 1157--1176.Thuan, Nguyen Tran; Quang, Nguyen Van. Baum-Katz's type theorems for pairwise independent random elements in certain metric spaces. Acta Math. Vietnam. 45 (2020), no. 3, 555--570Quang, Nguyen Van; Giap, Duong Xuan. Mosco convergence of strong laws of large numbers for triangular array of row-wise exchangeable random sets and fuzzy random sets. Stochastics 94 (2022), no. 1, 86--110.