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Quantile residual lifetime with right-censored and length-biased data

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  • Peng Liu
  • Yixin Wang
  • Yong Zhou

Abstract

Right-censored length-biased data are commonly encountered in many applications such as cancer screening trials, prevalent cohort studies and labor economics. Such data have a unique structure that is different from traditional survival data. In this paper, we propose an estimator of the quantile residual lifetime (QRL) with this kind of data based on the nonparametric maximum likelihood estimation method. In addition, we develop two tests by taking difference and ratio of the QRL from two independent samples. We also establish the asymptotic properties of the proposed estimator and the test statistics. Simulation studies are performed to demonstrate that the proposed estimator works well in finite-sample situations. We illustrate its application using two data examples: one is the Oscars Award data, the other is the Channing house data. Copyright The Institute of Statistical Mathematics, Tokyo 2015

Suggested Citation

  • Peng Liu & Yixin Wang & Yong Zhou, 2015. "Quantile residual lifetime with right-censored and length-biased data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 67(5), pages 999-1028, October.
    • Handle: RePEc:spr:aistmt:v:67:y:2015:i:5:p:999-1028
    DOI: 10.1007/s10463-014-0482-9
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    References listed on IDEAS

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    Cited by:

    1. Xun, Li & Shao, Li & Zhou, Yong, 2017. "Efficiency of estimators for quantile differences with left truncated and right censored data," Statistics & Probability Letters, Elsevier, vol. 121(C), pages 29-36.

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