Complete convergence for arrays of rowwise widely orthant dependent random variables and its applications

Stochastics ◽  
2017 ◽  
Vol 89 (8) ◽  
pp. 1228-1252 ◽  
Author(s):  
Xuejun Wang ◽  
Yi Wu ◽  
Andrew Rosalsky
Keyword(s):  
Complete Convergence ◽  
Random Variables ◽  
Dependent Random Variables ◽  
Widely Orthant Dependent

scholarly journals Complete convergence for weighted sums of widely orthant-dependent random variables

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Pingyan Chen ◽  
Soo Hak Sung
Keyword(s):  
Complete Convergence ◽  
Law Of Large Numbers ◽  
Random Variables ◽  
Weighted Sums ◽  
Dependent Random Variables ◽  
Strong Law ◽  
Link Type ◽  
Convergence Results ◽  
Large Numbers ◽  
Widely Orthant Dependent

AbstractThe complete convergence results for weighted sums of widely orthant-dependent random variables are obtained. A strong law of large numbers for weighted sums of widely orthant-dependent random variables is also obtained. Our results extend and generalize some results of Chen and Sung (J. Inequal. Appl. 2018:121, 2018), Zhang et al. (J. Math. Inequal. 12:1063–1074, 2018), Chen and Sung (Stat. Probab. Lett. 154:108544, 2019), Lang et al. (Rev. Mat. Complut., 2020, 10.1007/s13163-020-00369-5), and Liang (Stat. Probab. Lett. 48:317–325, 2000).

scholarly journals On complete and complete moment convergence for weighted sums of widely orthant dependent random variables

Filomat ◽  
2018 ◽  
Vol 32 (15) ◽  
pp. 5347-5359 ◽  
Author(s):  
Caoqing Wu ◽  
Mingming Ning ◽  
Aiting Shen
Keyword(s):  
Complete Convergence ◽  
Random Variables ◽  
Weighted Sums ◽  
Complete Moment Convergence ◽  
Dependent Random Variables ◽  
Moment Convergence ◽  
Identical Distribution ◽  
Widely Orthant Dependent

In this article, the complete convergence for weighted sums of widely orthant dependent (WOD, in short) random variables without identical distribution is investigated. In addition, the complete moment convergence for weighted sums of WOD random variables is also obtained. The results obtained in the paper generalize some corresponding ones for some dependent random variables.

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