Related Experiment Video
Updated: May 27, 2026

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
Comparing quantile residual life functions by confidence bands
Alba M Franco-Pereira1, Rosa E Lillo, Juan Romo
1Department of Statistics and Operational Research, Universidad de Vigo, 36310, Vigo, Pontevedra, Spain. alba.franco@uvigo.es
Abstract:
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.
Related Concept Videos
Critical Values
Finding Critical Values for Chi-Square
Confidence Intervals
A confidence...
Interpretation of Confidence Intervals
Confidence intervals have confidence coefficients that are crucial for their interpretation. The most common confidence coefficients are 0.90, 0.95, and 0.99, which can be written as percentages–90%, 95%, and 99%, respectively.
Suppose a person calculates a confidence interval with a confidence coefficient of 0.95. In that case, they can...
Parametric Survival Analysis: Weibull and Exponential Methods
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Uncertainty: Confidence Intervals

