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Statistics
A Journal of Theoretical and Applied Statistics
Volume 53, 2019 - Issue 4
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Original Articles

A general result on complete convergence for weighted sums of linear processes and its statistical applications

Xin DengSchool of Mathematical Sciences, Anhui University, Hefei, People's Republic of ChinaView further author information
,
Xuejun WangSchool of Mathematical Sciences, Anhui University, Hefei, People's Republic of ChinaCorrespondence[email protected]
View further author information
,
Shuhe HuSchool of Mathematical Sciences, Anhui University, Hefei, People's Republic of ChinaView further author information
&
Ming HuDepartment of Quantitative Health Sciences, Lerner Research Institute, Cleveland Clinic Foundation, Cleveland, Ohio, USAView further author information
Pages 903-920 | Received 11 Dec 2017, Accepted 29 Apr 2019, Published online: 20 May 2019

Citations (8)

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Yutan Lv, Yunbao Yao, Jun Zhou, Xiaoqin Li, Ruiqi Yang & Xuejun Wang. (2023) Complete consistency for the weighted least squares estimators in semiparametric regression models. Communications in Statistics - Theory and Methods 52:22, pages 7797-7818.
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Xiaoming Qu. (2022) Complete moment convergence of moving-average processes under END assumptions. Communications in Statistics - Theory and Methods 51:10, pages 3446-3458.
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Yan Wang, Xiaoqin Li, Ling Chen, Minghui Wang & Xuejun Wang. (2022) A note on the asymptotic properties of the estimators in a semiparametric regression model. Communications in Statistics - Simulation and Computation 51:2, pages 358-373.
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Le Van Dung & Ta Cong Son. (2022) Complete moment convergence for m-ANA random variables and statistical applications. Journal of Statistical Computation and Simulation 92:2, pages 370-394.
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Lu Zhang, Wei Yu & Xuejun Wang. (2022) Weak consistency for the estimators in a semiparametric regression model based on negatively associated random errors. Journal of Statistical Computation and Simulation 92:1, pages 19-42.
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L. V. Dung, T. C. Son & T. T. Tu. (2021) Convergence in mean and central limit theorems for weighted sums of martingale difference random vectors with infinite rth moments. Statistics 55:2, pages 386-408.
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Minghui Wang, Xuejun Wang & Fei Zhang. Some strong convergence properties for randomly weighted maximum partial sums of END random variables with statistical applications. Journal of Statistical Computation and Simulation 0:0, pages 1-44.
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Articles from other publishers (1)

Son Ta Cong, Cuong Tran Manh, Hang Bui Khanh & Dung Le Van. (2023) On the Baum–Katz theorem for randomly weighted sums of negatively associated random variables with general normalizing sequences and applications in some random design regression models. Statistical Papers.
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