A Criterion for the Fuzzy Set Estimation of the Regression Function
Author
Source
Journal of Probability and Statistics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-02
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We propose a criterion to estimate the regression function by means of a nonparametric and fuzzy set estimator of the Nadaraya-Watson type, for independent pairs of data, obtaining a reduction of the integrated mean square error of the fuzzy set estimator regarding the integrated mean square error of the classic kernel estimators.
This reduction shows that the fuzzy set estimator has better performance than the kernel estimations.
Also, the convergence rate of the optimal scaling factor is computed, which coincides with the convergence rate in classic kernel estimation.
Finally, these theoretical findings are illustrated using a numerical example.
American Psychological Association (APA)
Fajardo, Jesús A.. 2012. A Criterion for the Fuzzy Set Estimation of the Regression Function. Journal of Probability and Statistics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-483496
Modern Language Association (MLA)
Fajardo, Jesús A.. A Criterion for the Fuzzy Set Estimation of the Regression Function. Journal of Probability and Statistics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-483496
American Medical Association (AMA)
Fajardo, Jesús A.. A Criterion for the Fuzzy Set Estimation of the Regression Function. Journal of Probability and Statistics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-483496
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483496