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.
Demir, S., & Toktamiş, Ö. (2010). ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS. Hacettepe Journal of Mathematics and Statistics, 39(3), 429-437.
AMA
Demir S, Toktamiş Ö. ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS. Hacettepe Journal of Mathematics and Statistics. March 2010;39(3):429-437.
Chicago
Demir, S., and Ö. Toktamiş. “ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS”. Hacettepe Journal of Mathematics and Statistics 39, no. 3 (March 2010): 429-37.
EndNote
Demir S, Toktamiş Ö (March 1, 2010) ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS. Hacettepe Journal of Mathematics and Statistics 39 3 429–437.
IEEE
S. Demir and Ö. Toktamiş, “ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 3, pp. 429–437, 2010.
ISNAD
Demir, S. - Toktamiş, Ö. “ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS”. Hacettepe Journal of Mathematics and Statistics 39/3 (March 2010), 429-437.
JAMA
Demir S, Toktamiş Ö. ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS. Hacettepe Journal of Mathematics and Statistics. 2010;39:429–437.
MLA
Demir, S. and Ö. Toktamiş. “ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 3, 2010, pp. 429-37.
Vancouver
Demir S, Toktamiş Ö. ON THE ADAPTIVE NADARAYA-WATSON KERNEL REGRESSION ESTIMATORS. Hacettepe Journal of Mathematics and Statistics. 2010;39(3):429-37.