Comparing quantile residual life functions by confidence bands



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Franco Pereira, Alba M. and Lillo, Rosa E. and Romo, Juan (2012) Comparing quantile residual life functions by confidence bands. Lifetime data analysis, 18 (2). pp. 195-214. ISSN 1380-7870

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In this article we present a nonparametric method for constructing confidence bands for the difference of two quantile residual life (qrl) functions. These bands provide evidence for two random variables ordering with respect to the qrl order. The comparison of qrl functions is of importance, specially in the treatment of cancer when there exists a possibility of benefiting from a new secondary therapy. A qrl function is the quantile of the remaining life of a surviving subject, as it varies with time. We show the applicability of this approach in Medicine and Ecology. A simulation study has been carried out to evaluate and illustrate the performance and the consistency of this new methodology.

Item Type:Article
Uncontrolled Keywords:Bootstrap; Censored data; Confidence bands; Quantile residual life; Statistical depth
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:24406
Deposited On:29 Jan 2014 11:43
Last Modified:07 Feb 2014 11:17

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