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On the Baum-Katz theorem in noncommutative probability
Tác giả: Nguyen Van Quang
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On the Baum-Katz theorem in noncommutative probability
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Năm xuất bản: 11/2024
Cùng tác giả
Cơ sở xác suất hiện đạiTính chất liên kết âm và phụ thuộc âm đối với dối với các hàm ngẫu nhiên nửa liên tục trên và các ứng dụngCác định lý Ergodic nhiều chiều và đa trị đối với các phép biến đổi bảo toàn độ đoLuật số lớn cho dãy các biến ngẫu nhiên m-phụ thuộc theo khối trong không gian metricThe 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 topologyThuan, 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--570Huan, 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 ppQuang, 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.Castaing, Charles; Duyen, Hoang Thi; Quang, Nguyen Van. Strong laws of large numbers for double arrays of blockwise $M$-dependent random sets. Vietnam J. Math. 51 (2023), no. 2, 379--396Son, Do The; Giap, Duong Xuan; Quang, Nguyen Van. Chung-type strong laws and almost complete convergence for arrays of measurable operators. J. Theoret. Probab. 35 (2022), no. 3, 1391--1411Nguyen Van Quang, Nguyen Van Huan, Pham Tri Kien. Convergence rates in the limit theorems for random sums of m-orthogonal random variables, Statistics & Probability Letters, Volume 216, January 2025, 110248.