RT Journal Article T1 Comparing quantile residual life functions by confidence bands A1 Franco Pereira, Alba María A1 Lillo Rodríguez, Rosa Elvira A1 Romo, Juan AB 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. PB Springer SN 1380-7870 YR 2012 FD 2012-04 LK https://hdl.handle.net/20.500.14352/44117 UL https://hdl.handle.net/20.500.14352/44117 LA eng NO Ministerio de Educación, Formación Profesional y Deportes (España) NO Community of Madrid DS Docta Complutense RD 31 jul 2025