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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 907286, 12 pages
Complete Consistency of the Estimator of Nonparametric Regression Models Based on -Mixing Sequences
School of Mathematical Science, Anhui University, Hefei 230039, China
Received 26 August 2012; Accepted 24 October 2012
Academic Editor: Ciprian A. Tudor
Copyright © 2012 Xuejun Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citations to this Article [7 citations]
The following is the list of published articles that have cited the current article.
- Aiting Shen, “Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models,” Abstract and Applied Analysis, vol. 2013, pp. 1–9, 2013.
- Aiting Shen, Xinghui Wang, and Huayan Zhu, “On Complete Convergence for Weighted Sums of -Mixing Random Variables,” Abstract and Applied Analysis, vol. 2013, pp. 1–7, 2013.
- Ranchao Wu, and Aiting Shen, “Strong convergence results for weighted sums of (rho)over-tilde-mixing random variables,” Journal Of Inequalities And Applications, 2013.
- Yan Shen, Xinghui Wang, Aiting Shen, and Ranchao Wu, “Complete convergence for weighted sums of arrays of rowwise. (rho)over-tilde-mixing random variables,” Journal Of Inequalities And Applications, 2013.
- Aiting Shen, Ying Zhang, and Andrei Volodin, “Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables,” Metrika, vol. 78, no. 3, pp. 295–311, 2015.
- Xuejun Wang, Lulu Zheng, Chen Xu, and Shuhe Hu, “Complete consistency for the estimator of nonparametric regression models based on extended negatively dependent errors,” Statistics, vol. 49, no. 2, pp. 396–407, 2015.
- Yiwei Wang, Wenzhi Yang, and Shuhe Hu, “The Bahadur representation of sample quantiles for weakly dependent sequences,” Stochastics An International Journal of Probability and Stochastic Processes, pp. 1–9, 2015.