Applied Mathematics

Volume 5, Issue 11 (June 2014)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Some Improvement on Convergence Rates of Kernel Density Estimator

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DOI: 10.4236/am.2014.511161    5,317 Downloads   6,924 Views  Citations

ABSTRACT

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.

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