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Original Articles

Complete convergence for weighted sums of END random variables and its application to nonparametric regression models

Pages 702-715 | Received 09 Sep 2015, Accepted 31 May 2016, Published online: 30 Aug 2016

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Read on this site (12)

Shuili Zhang, Cong Qu & Tiantian Hou. (2023) Limit behaviors of the estimator of non parametric regression model based on extended negatively dependent errors. Communications in Statistics - Theory and Methods 52:24, pages 8712-8724.
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Lu Zhang, Jibing Qi, Hairong Yang & Xuejun Wang. (2022) Weak convergence for weighted sums of negatively associated random variables and its application in nonparametric regression models. Communications in Statistics - Simulation and Computation 51:10, pages 5876-5896.
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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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Jinyu Zhou, Jigao Yan & Dongya Cheng. (2022) Complete convergence for maximum of weighted sums of WNOD random variables and its application. Communications in Statistics - Theory and Methods 0:0, pages 1-23.
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Xiu Xu & Jigao Yan. (2021) Complete moment convergence for randomly weighted sums of END sequences and its applications. Communications in Statistics - Theory and Methods 50:12, pages 2877-2899.
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Jigao Yan. (2019) On Complete Convergence in Marcinkiewicz-Zygmund Type SLLN for END Random Variables and Its Applications. Communications in Statistics - Theory and Methods 48:20, pages 5074-5098.
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Zhuang Chen, Chao Lu, Yan Shen, Rui Wang & Xuejun Wang. (2019) On complete and complete moment convergence for weighted sums of ANA random variables and applications. Journal of Statistical Computation and Simulation 89:15, pages 2871-2898.
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Aiting Shen, Mingming Ning & Caoqing Wu. (2019) The asymptotic normality of the linear weighted estimator in nonparametric regression models. Communications in Statistics - Theory and Methods 48:6, pages 1367-1376.
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Zijian Wang, Yi Wu, Mengge Wang & Xuejun Wang. (2019) Complete and complete moment convergence with applications to the EV regression models. Statistics 53:2, pages 261-282.
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Jigao Yan. (2018) Almost sure convergence for weighted sums of WNOD random variables and its applications to non parametric regression models. Communications in Statistics - Theory and Methods 47:16, pages 3893-3909.
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Articles from other publishers (19)

M. M. Xi, X. Q. Li, L. Chen & X. J. Wang. (2023) Complete and Complete Integral Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables under Sublinear Expectations. Theory of Probability & Its Applications 68:2, pages 285-304.
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Yi Wu, Xuejun Wang & Aiting Shen. (2023) Strong Convergence for Weighted Sums of Widely Orthant Dependent Random Variables and Applications. Methodology and Computing in Applied Probability 25:1.
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Wei Wang & Yi Wu. (2022) Consistency of nearest neighbor estimator of density function for m-END samples. Brazilian Journal of Probability and Statistics 36:2.
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Yunjie Peng, Xiaoqian Zheng, Wei Yu, Kaixin He & Xuejun Wang. (2021) Strong Law of Large Numbers for Weighted Sums of Random Variables and Its Applications in EV Regression Models. Journal of Systems Science and Complexity 35:1, pages 342-360.
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Yi Wu, Xuejun Wang & Aiting Shen. (2020) Strong convergence properties for weighted sums of m-asymptotic negatively associated random variables and statistical applications. Statistical Papers 62:5, pages 2169-2194.
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Anna Kuczmaszewska & Ji-gao Yan. (2021) On complete convergence in Marcinkiewicz-Zygmund type SLLN for random variables. Applied Mathematics-A Journal of Chinese Universities 36:3, pages 342-353.
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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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Yan Wang & Xuejun Wang. (2019) Complete f-moment convergence for Sung’s type weighted sums and its application to the EV regression models. Statistical Papers 62:2, pages 769-793.
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Xufei Tang, Xuejun Wang, Yi Wu & Fei Zhang. (2020) The Berry-Esseen bound of a wavelet estimator in non-randomly designed nonparametric regression model based on ANA errors. ESAIM: Probability and Statistics 24, pages 21-38.
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Chao Lu, Zhuang Chen & Xue Jun Wang. (2019) Complete f-moment Convergence for Widely Orthant Dependent Random Variables and Its Application in Nonparametric Models. Acta Mathematica Sinica, English Series 35:12, pages 1917-1936.
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Xuejun Wang, Yi Wu & Shuhe Hu. (2018) The Berry–Esseen bounds of the weighted estimator in a nonparametric regression model. Annals of the Institute of Statistical Mathematics 71:5, pages 1143-1162.
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Yi Wu, Xuejun Wang & Soo Hak Sung. (2019) Asymptotic normality and mean consistency for the weighted estimator in nonparametric regression models. Journal of the Korean Statistical Society 48:3, pages 463-479.
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Seyed Mohammad Hosseini & Ahmad Nezakati. (2019) Complete Moment Convergence for the Dependent Linear Processes with Random Coefficients. Acta Mathematica Sinica, English Series 35:8, pages 1321-1333.
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Rui Zhang, Yi Wu, Weifeng Xu & Xuejun Wang. (2019) On complete consistency for the weighted estimator of nonparametric regression models. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113:3, pages 2319-2333.
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Dandan Han, Lequan Min, Hongyan Zang & Xiuping Yang. (2019) Robust Chaos of Cubic Polynomial Discrete Maps with Application to Pseudorandom Number Generators. Mathematical Problems in Engineering 2019, pages 1-17.
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Xiaohan Bao, Junjie Lin, Xuejun Wang & Yi Wu. (2019) On complete convergence for weighted sums of arrays of rowwise END random variables and its statistical applications. Mathematica Slovaca 69:1, pages 223-232.
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X. J. Wang & S. H. Hu. (2019) The Berry--Esseen Bound for $\rho$-Mixing Random Variables and Its Applications in Nonparametric Regression Model. Theory of Probability & Its Applications 63:3, pages 479-499.
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Xuejun J Wang & Sh. H Hu. (2018) The Berry - Esseen bound for $\rho$-mixing random variables and its applications in nonparametric regression model. Теория вероятностей и ее применения Teoriya Veroyatnostei i ee Primeneniya 63:3, pages 584-608.
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Qunying Wu & Xiang Zeng. (2017) Equivalent conditions of complete moment convergence for extended negatively dependent random variables. Journal of Inequalities and Applications 2017:1.
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