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A bound on the 1-error of a nonparametric density estimator with censored data

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  • Kulasekera, K. B.

Abstract

A bound on the expected 1-distance between a density and its estimator, based on randomly right censored data, is given for any sample size. It is noted that the leading terms in the bound are comparable to the terms in the uncensored case. Also, these terms agree with the asymptotic results for density estimation with censored data.

Suggested Citation

  • Kulasekera, K. B., 1995. "A bound on the 1-error of a nonparametric density estimator with censored data," Statistics & Probability Letters, Elsevier, vol. 23(3), pages 233-238, May.
    • Handle: RePEc:eee:stapro:v:23:y:1995:i:3:p:233-238
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    Cited by:

    1. Eduard Belitser & Boris Levit, 2001. "Asymptotically Local Minimax Estimation of Infinitely Smooth Density with Censored Data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(2), pages 289-306, June.

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