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A smooth nonparametric quantile estimator from right-censored data

Author

Listed:
  • Padget, W. J.
  • Thombs, L. A.

Abstract

Based on randomly right-censored data, a smooth nonparametric estimator of the quantile function of the lifetime distribution is studied. The estimator is defined to be the solution xn(p) of Fn(xn(p)) = p, where Fn is the distribution function corresponding to a kernel estimator of the lifetime density. The strong consistency and asymptotic normality of xn(p) are shown. Data-based selection of the bandwidth required for computing Fn is investigated using bootstrap methods. Illustrative examples are given.

Suggested Citation

  • Padget, W. J. & Thombs, L. A., 1988. "A smooth nonparametric quantile estimator from right-censored data," Statistics & Probability Letters, Elsevier, vol. 7(2), pages 113-121, September.
    • Handle: RePEc:eee:stapro:v:7:y:1988:i:2:p:113-121
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