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Quantile residual lifetime with right-censored and length-biased data.
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- Author(s): Liu, Peng; Wang, Yixin; Zhou, Yong
- Source:
Annals of the Institute of Statistical Mathematics; Oct2015, Vol. 67 Issue 5, p999-1028, 30p- Subject Terms:
- Source:
- Additional Information
- 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. [ABSTRACT FROM AUTHOR]
- Abstract: Copyright of Annals of the Institute of Statistical Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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