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Exact asymptotic -error of a kernel density estimator under censored data

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  • Lemdani, Mohamed
  • Ould-Saïd, Elias

Abstract

In this paper, we give the exact asymptotic -error for the kernel estimator of the density function from censored data. We also give asymptotically optimal bandwidths. Strong approximation of the product-limit estimator by a Gaussian process is used to obtain the result.

Suggested Citation

  • Lemdani, Mohamed & Ould-Saïd, Elias, 2002. "Exact asymptotic -error of a kernel density estimator under censored data," Statistics & Probability Letters, Elsevier, vol. 60(1), pages 59-68, November.
    • Handle: RePEc:eee:stapro:v:60:y:2002:i:1:p:59-68
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    References listed on IDEAS

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    1. Wang, Qi-Hua, 1999. "Some bounds for the error of an estimator of the hazard function with censored data," Statistics & Probability Letters, Elsevier, vol. 44(4), pages 319-326, October.
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