Journal of Applied Mathematics

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

Abstract

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 $x$.

Article information

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

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394808105

Digital Object Identifier
doi:10.1155/2013/541250

Mathematical Reviews number (MathSciNet)
MR3094958

Zentralblatt MATH identifier
06950737

Citation

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. https://projecteuclid.org/euclid.jam/1394808105

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