Journal of Applied Mathematics

A Berry-Esseen Type Bound in Kernel Density Estimation for Negatively Associated Censored Data

Qunying Wu and Pingyan Chen

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We discuss the kernel estimation of a density function based on censored data when the survival and the censoring times form the stationary negatively associated (NA) sequences. Under certain regularity conditions, the Berry-Esseen type bounds are derived for the kernel density estimator and the Kaplan-Meier kernel density estimator at a fixed point x.

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J. Appl. Math., Volume 2013 (2013), Article ID 541250, 9 pages.

First available in Project Euclid: 14 March 2014

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Wu, Qunying; Chen, Pingyan. A Berry-Esseen Type Bound in Kernel Density Estimation for Negatively Associated Censored Data. J. Appl. Math. 2013 (2013), Article ID 541250, 9 pages. doi:10.1155/2013/541250.

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