Complete Convergence for Randomly Weighted Sums of Random Variables Satisfying Some Moment Inequalities

• 作者: Ping Yan CHEN Soo Hak SUNG
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 279-288
• 页数: 10页
• 语种: 英文

摘要

For random variables and random weights satisfying Marcinkiewicz-Zygmund and Rosen-thal type moment inequalities, we establish complete convergence results for randomly weighted sums of the random variables. Our results generalize those of (Thanh et al. SIAM J. Control Optim., 49, 106–124 (2011), Han and Xiang J. Ineq. Appl., 2016, 313 (2016), Li et al. J. Ineq. Appl., 2017, 182 (2017), and Wang et al. Statistics, 52, 503–518 (2018).)