ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS

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Hacettepe Journal of Mathematics and Statistics
Volume:39 Issue:3
ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS

ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS

Authors : S DEMİR, Ö TOKTAMİŞ

Pages : 429-437

View : 22 | Download : 7

Publication Date : 2010-03-01

Article Type : Research Paper

Abstract :Nonparametric kernel estimators are widely used in many research areas of statistics. An important nonparametric kernel estimator of a regression function is the Nadaraya-Watson kernel regression estimator which is often obtained by using a fixed bandwidth. However, the adaptive kernel estimators with varying bandwidths are specially used to estimate density of the long-tailed and multi-mod distributions. In this paper, we consider the adaptive Nadaraya-Watson kernel regression estimators. The results of the simulation study show that the adaptive Nadaraya-Watson kernel estimators have better performance than the kernel estimations with fixed bandwidth.
Keywords : Nonparametric regression, Nadaraya Watson kernel estimator, Adaptive kernel estimation, Kernel density estimation

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