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

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  • Qunying Wu
  • Pingyan Chen

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 .

Suggested Citation

  • Qunying Wu & Pingyan Chen, 2013. "A Berry-Esseen Type Bound in Kernel Density Estimation for Negatively Associated Censored Data," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, August.
    • Handle: RePEc:hin:jnljam:541250
    DOI: 10.1155/2013/541250
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