Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We present the Bernstein-type inequality for widely dependent random variables.
By using the Bernstein-type inequality and the truncated method, we further study the strong consistency of estimator of fixed design regression model under widely dependent random variables, which generalizes the corresponding one of independent random variables.
As an application, the strong consistency for the nearest neighbor estimator is obtained.
American Psychological Association (APA)
Shen, Aiting. 2013. Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-504299
Modern Language Association (MLA)
Shen, Aiting. Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-504299
American Medical Association (AMA)
Shen, Aiting. Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-504299
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504299