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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 862602, 9 pages
Research Article

Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models

School of Mathematical Science, Anhui University, Hefei 230601, China

Received 8 February 2013; Accepted 2 July 2013

Academic Editor: Juan J. Trujillo

Copyright © 2013 Aiting Shen. 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 [3 citations]

The following is the list of published articles that have cited the current article.

  • Xuejun Wang, Meimei Ge, Shuhe Hu, and Xize Wang, “The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences,” Abstract and Applied Analysis, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Xuejun Wang, Chen Xu, Tien-Chung Hu, Andrei Volodin, and Shuhe Hu, “On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models,” Test, vol. 23, no. 3, pp. 607–629, 2014. View at Publisher · View at Google Scholar
  • Xin Deng, Meimei Ge, Xuejun Wang, Yanfang Liu, and Yu Zhou, “Complete Convergence for Weighted Sums of a Class of Random Variables,” Filomat, vol. 28, no. 3, pp. 509–522, 2014. View at Publisher · View at Google Scholar