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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--570

Tác giả: Thuan, Nguyen Tran; Quang, Nguyen Van

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Acta Math. Vietnam.

Quyển: 3 Trang: 555--570

Năm xuất bản: 10/2020

Cùng tác giả

Cơ sở xác suất hiện đại Tính chất liên kết âm và phụ thuộc âm đối với dối với các hàm ngẫu nhiên nửa liên tục trên và các ứng dụng Các định lý Ergodic nhiều chiều và đa trị đối với các phép biến đổi bảo toàn độ đo Luật số lớn cho dãy các biến ngẫu nhiên m-phụ thuộc theo khối trong không gian metric The strong laws of large numbers for positive measurable operators and applications. Statist. Probab. Lett. 124 (2017), 110--120 Quang, 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--238 Quang, 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 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 Quang, 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--396 Son, 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--1411 Nguyen 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.On the Baum-Katz theorem in noncommutative probability

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