Modification of the adaptive Nadaraya-Watson kernel method for nonparametric regression (simulation study)
- 10 August 2019
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Simulation and Computation
- Vol. 51 (2) , 391-403
Abstract
In this research, a new improvement of the Nadaraya-Watson kernel non parametric regression estimator is proposed and the bandwidth of this new improvement is obtained depending on the three different statistical indicators: robust mean, median and harmonic mean of kernel function instead of using geometric and arithmetic mean, or R. Simulation study is presented, including comparisons with four others Nadaraya-Watson kernel estimators (classical methods). The proposed estimator in the case of harmonic mean is more accurate than all classical methods for all simulations based on MSE criteria.Keywords
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