Some Improvement on Convergence Rates of Kernel Density Estimator

DOI: 10.4236/am.2014.511161   PDF   HTML   XML   4,651 Downloads   5,549 Views   Citations


In this paper two kernel density estimators are introduced and investigated. In order to reduce bias, we intuitively subtract an estimated bias term from ordinary kernel density estimator. The second proposed density estimator is a geometric extrapolation of the first bias reduced estimator. Theoretical properties such as bias, variance and mean squared error are investigated for both estimators. To observe their finite sample performance, a Monte Carlo simulation study based on small to moderately large samples is presented.

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Xie, X. and Wu, J. (2014) Some Improvement on Convergence Rates of Kernel Density Estimator. Applied Mathematics, 5, 1684-1696. doi: 10.4236/am.2014.511161.

Conflicts of Interest

The authors declare no conflicts of interest.


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