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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 862602, 9 pages
http://dx.doi.org/10.1155/2013/862602
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 [16 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
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  • Aiting Shen, Mei Yao, Wenjuan Wang, and Andrei Volodin, “Exponential probability inequalities for WNOD random variables and their applications,” Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas, vol. 110, no. 1, pp. 251–268, 2016. View at Publisher · View at Google Scholar
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  • Mengmei Xi, Hao Xia, Chen Xu, and Xuejun Wang, “Lr convergence for weighted sums of extended negatively dependent random variables,” Journal of Mathematical Inequalities, vol. 10, no. 4, pp. 1157–1167, 2016. View at Publisher · View at Google Scholar