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Communications in Statistics - Theory and Methods Volume 43, 2014 - Issue 13
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Original Articles

On the Rate of Complete Convergence for Weighted Sums of Arrays of Rowwise ϕ-Mixing Random Variables

Aiting ShenSchool of Mathematical Science, Anhui University, Hefei, ChinaCorrespondence[email protected]
,
Xinghui WangSchool of Mathematical Science, Anhui University, Hefei, China
,
Xiaoqin LiSchool of Mathematical Science, Anhui University, Hefei, China
&
Xuejun WangSchool of Mathematical Science, Anhui University, Hefei, China
Pages 2714-2725 | Received 25 Nov 2011, Accepted 28 Mar 2012, Published online: 05 Jun 2014

Citations (15)

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Read on this site (8)

Liwang Ding, Ping Chen & Li Yongming. (2022) Statistical inference for a heteroscedastic regression model with φ-mixing errors. Communications in Statistics - Simulation and Computation 51:8, pages 4658-4676.
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Zhengliang Lu, Shengnan Ding, Fei Zhang, Rui Wang & Xuejun Wang. (2022) The consistency and convergence rate for the nearest neighbor density estimator based on -mixing random samples. Communications in Statistics - Theory and Methods 51:3, pages 669-684.
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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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Aiting Shen, Xiang Li, Yajing Zhang, Yige Qiu & Xuejun Wang. (2021) Consistency and asymptotic normality of wavelet estimator in a nonparametric regression model. Stochastics 93:6, pages 868-885.
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Mengmei Xi & Xuejun Wang. (2019) On the rates of asymptotic normality for recursive kernel density estimators under ϕ-mixing assumptions. Journal of Nonparametric Statistics 31:2, pages 340-363.
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Lulu Zheng, Yang Ding & Xuejun Wang. (2017) Asymptotic normality for the estimator of non parametric regression model under ϕ-mixing errors. Communications in Statistics - Theory and Methods 46:14, pages 6764-6773.
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Xuejun Wang, Shijie Wang & Rui Wang. (2017) Exponential inequalities for sums of unbounded ϕ-mixing sequence and their applications. Communications in Statistics - Theory and Methods 46:1, pages 457-464.
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Liwang Ding & Caoqing Jiang. On the rate of asymptotic normality of integral weighted kernel estimator in a non parametric regression model for φ-mixing random variables. Communications in Statistics - Theory and Methods 0:0, pages 1-16.
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Articles from other publishers (7)

Xin Deng, Xuejun Wang & Yi Wu. (2019) The Berry–Esseen type bounds of the weighted estimator in a nonparametric model with linear process errors. Statistical Papers 62:2, pages 963-984.
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Xuejun Wang, Yi Wu, Wei Yu, Wenzhi Yang & Shuhe Hu. (2019) Asymptotics for the linear kernel quantile estimator. TEST 28:4, pages 1144-1174.
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Xuejun Wang, Meimei Ge & Yi Wu. (2017) The asymptotic properties of the estimators in a semiparametric regression model. Statistical Papers 60:6, pages 2087-2108.
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Yi Wu & Xuejun Wang. (2017) Equivalent conditions of complete moment and integral convergence for a class of dependent random variables. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 112:2, pages 575-592.
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Li Ge, Sanyang Liu & Yu Miao. (2017) Complete convergence for weighted sums of pairwise independent random variables. Open Mathematics 15:1, pages 467-476.
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Yong Zhang. (2015) Complete moment convergence for moving average process generated by ρ − $\rho^{-}$ -mixing random variables. Journal of Inequalities and Applications 2015:1.
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Le Van Thanh & G. Yin. (2015) Weighted sums of strongly mixing random variables with an application to nonparametric regression. Statistics & Probability Letters 105, pages 195-202.
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