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Original Articles

The Strong Consistency of M Estimator in a Linear Model for Negatively Dependent Random Samples

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Pages 467-491 | Received 06 Nov 2007, Accepted 19 Oct 2009, Published online: 15 Nov 2010

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Xin Deng, Yi Wu, Wei Wang & Xuejun Wang. (2023) Asymptotic properties of M estimators in classical linear models with φ-mixing random errors. Journal of Statistical Computation and Simulation 93:18, pages 3259-3284.
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Yang Ding, Yi Wu, Songlin Ma, Xinran Tao & Xuejun Wang. (2017) Complete convergence and complete moment convergence for widely orthant-dependent random variables. Communications in Statistics - Theory and Methods 46:16, pages 8278-8294.
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Xinghui Wang & Shuhe Hu. (2017) The strong consistency of M-estimates in linear models with extended negatively dependent errors. Communications in Statistics - Theory and Methods 46:10, pages 5093-5108.
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Zhiyong Chen, Tingting Liu, Jimin Ling & Xuejun Wang. (2016) On the convergence rate for arrays of row-wise NOD random variables. Communications in Statistics - Theory and Methods 45:5, pages 1215-1223.
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Articles from other publishers (22)

MALIKA HAMMADZOUAOUIA BOULENOIRSAMIR BENAISSA. (2023) EXPONENTIAL TYPE INEQUALITIES AND ALMOST COMPLETE CONVERGENCE OF THE OPERATOR ESTIMATOR OF FIRST-ORDER AUTOREGRESSIVE IN HILBERT SPACE GENERATED BY WOD ERROR. Journal of Science and Arts 23:3, pages 671-680.
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Yi Wu, Wei Yu & Xuejun Wang. (2023) Asymptotics of M ‐estimator in multivariate linear regression models for a class of random errors . Australian & New Zealand Journal of Statistics.
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Chi Yao, Wei Yu & Xuejun Wang. (2022) Strong Consistency for the Conditional Self-weighted M Estimator of GRCA(p) Models. Methodology and Computing in Applied Probability 25:1.
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Aonan Zhang, Yawen Yu & Yan Shen. (2022) Complete moment convergence forweighted sums of widely orthant dependent random variables and its application in nonparametric regression model. Filomat 36:8, pages 2761-2774.
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Xue-jun Wang & Shu-he Hu. (2020) Some Exponential Inequalities for Negatively Orthant Dependent Random Variables. Acta Mathematicae Applicatae Sinica, English Series 36:4, pages 847-856.
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Xuejun Wang, Yi Wu, Shuhe Hu & Nengxiang Ling. (2018) Complete moment convergence for negatively orthant dependent random variables and its applications in statistical models. Statistical Papers 61:3, pages 1147-1180.
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Xin Deng, Xu-fei Tang, Shi-jie Wang & Xue-jun Wang. (2018) On the strong convergence properties for weighted sums of negatively orthant dependent random variables. Applied Mathematics-A Journal of Chinese Universities 33:1, pages 35-47.
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X. J. Wang, S. H. Hu & A. I. Volodin. (2018) Moment Inequalities for $m$-NOD Random Variables and Their Applications. Theory of Probability & Its Applications 62:3, pages 471-490.
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Xuejun Wang, Yi Wu & Shuhe Hu. (2016) Strong and weak consistency of LS estimators in the EV regression model with negatively superadditive-dependent errors. AStA Advances in Statistical Analysis 102:1, pages 41-65.
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Yuncai Yu, Hongchang Hu, Ling Liu & Shouyou Huang. (2017) M-test in linear models with negatively superadditive dependent errors. Journal of Inequalities and Applications 2017:1.
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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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Xuejun J Wang, Xuejun J Wang, Sh. H Hu, Sh. H Hu, Андрей Игоревич Володин & Andrei Igorevich Volodin. (2017) Moment inequalities for $m$-NOD random variables and their applicationsMoment inequalities for $m$-NOD random variables and their applications. Теория вероятностей и ее применения Teoriya Veroyatnostei i ee Primeneniya 62:3, pages 587-609.
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Xuejun Wang & Shuhe Hu. (2017) On consistency of least square estimators in the simple linear EV model with negatively orthant dependent errors. Electronic Journal of Statistics 11:1.
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Aiting Shen, Mei Yao, Wenjuan Wang & Andrei Volodin. (2015) Exponential probability inequalities for WNOD random variables and their applications. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 110:1, pages 251-268.
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AITING SHEN. (2016) ON THE STRONG LAW OF LARGE NUMBERS FOR WEIGHTED SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES. Journal of the Korean Mathematical Society 53:1, pages 45-55.
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Qunying Wu & Yuanying Jiang. (2016) Complete Moment Convergence for Negatively Dependent Sequences of Random Variables. Discrete Dynamics in Nature and Society 2016, pages 1-6.
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Xinghui Wang & Shuhe Hu. (2015) On the Strong Consistency of M-Estimates in Linear Models for Negatively Superadditive Dependent Errors. Australian & New Zealand Journal of Statistics 57:2, pages 259-274.
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Xuejun Wang, Chen Xu, Tien-Chung Hu, Andrei Volodin & Shuhe Hu. (2014) On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models. TEST 23:3, pages 607-629.
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Aiting Shen. (2013) Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models. Abstract and Applied Analysis 2013, pages 1-9.
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Qunying Wu. (2012) A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables. Journal of Inequalities and Applications 2012:1.
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Xiang Zeng & Qunying Wu. (2012) The Rate of Strong Consistency of the Nearest Neighbor Density Estimator for Negatively Dependent Random Variables. ISRN Applied Mathematics 2012, pages 1-10.
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Qunying Wu. (2011) Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables. Journal of Probability and Statistics 2011, pages 1-16.
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