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

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

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 Kap...

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Veröffentlicht in:Journal of Applied Mathematics 2013-01, Vol.2013 (2013), p.421-429-446
Hauptverfasser: Wu, Qunying, Chen, Pingyan
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Density
Density functionals
Estimators
Functions (mathematics)
Kernels
Mathematical analysis
Mathematical research
Regularity
Sequences
Survival
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Zusammenfassung: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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2013/541250