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

LIU, Peng, WANG, Yixin, ZHOU, Yong (2014) Quantile residual lifetime with right-censored and length-biased data. Annals of the Institute of Statistical Mathematics, . ISSN 0020-3157. (doi:10.1007/s10463-014-0482-9) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)

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http://dx.doi.org/10.1007/s10463-014-0482-9

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.

Item Type: Article
DOI/Identification number: 10.1007/s10463-014-0482-9
Uncontrolled keywords: Right-censored length-biased data; Quantile residual lifetime model; Oscars Award data; Two-sample problem; Empirical processes
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Peng Liu
Date Deposited: 09 Aug 2019 11:12 UTC
Last Modified: 12 Aug 2019 09:55 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/75739 (The current URI for this page, for reference purposes)
LIU, Peng: https://orcid.org/0000-0002-0492-0029
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