@article{Huang2023, 
author = {Haiwu Huang and Yuan Yuan and Hongguo Zeng},
title = {An extension on the rate of complete moment convergence for weighted sums of weakly dependent random variables},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {1},
pages = {622-632},
keywords = {complete α-th moment convergence, weakly dependent random variables, weighted sums},
url = {https://www.sciopen.com/article/10.3934/math.2023029},
doi = {10.3934/math.2023029},
abstract = {The authors study the convergence rate of complete moment convergence for weighted sums of weakly dependent random variables without assumptions of identical distribution. Under the moment condition of    E                                          |            X            |                                    α                          /                                            (                          log              ⁡                              (                                  1                  +                                      |                    X                    |                                                  )                                      )                                    α                      /                    γ          −          1                        <  ∞ for    0  <  γ  <  α with    1  <  α  ≤  2, we establish the complete    α-th moment convergence theorem for weighted sums of weakly dependent cases, which improves and extends the related known results in the literature.}
}