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Bandwidth choice for hazard rate estimators from left truncated and right censored data

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  • Sun, Liuquan

Abstract

In this paper, two types of kernel based estimators of hazard rate under left truncation and right censorship are considered. An asymptotic representation of the integrated squared error for both estimators is obtained. Also it is shown that the bandwidth selected by the data-based method of least squares cross-validation is asymptotically optimal in a compelling sense.

Suggested Citation

  • Sun, Liuquan, 1997. "Bandwidth choice for hazard rate estimators from left truncated and right censored data," Statistics & Probability Letters, Elsevier, vol. 36(2), pages 101-114, December.
    • Handle: RePEc:eee:stapro:v:36:y:1997:i:2:p:101-114
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    References listed on IDEAS

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    1. Gijbels, I. & Wang, J. L., 1993. "Strong Representations of the Survival Function Estimator for Truncated and Censored Data with Applications," Journal of Multivariate Analysis, Elsevier, vol. 47(2), pages 210-229, November.
    2. Sarda, P. & Vieu, P., 1991. "Smoothing parameter selection in hazard estimation," Statistics & Probability Letters, Elsevier, vol. 11(5), pages 429-434, May.
    3. Marron, James Stephen & Härdle, Wolfgang, 1986. "Random approximations to some measures of accuracy in nonparametric curve estimation," Journal of Multivariate Analysis, Elsevier, vol. 20(1), pages 91-113, October.
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    Cited by:

    1. Sun, Liuquan & Zhou, Xian, 2001. "Survival function and density estimation for truncated dependent data," Statistics & Probability Letters, Elsevier, vol. 52(1), pages 47-57, March.

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