Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

Dependence estimation over a finite bivariate failure time region.

J Fan¹, L Hsu, R L Prentice

¹Department of Statistics, University of California, Davis, CA 95616, USA. jjfan@ucdavis.edu

Lifetime Data Analysis

|February 24, 2001

Summary

This study introduces new nonparametric methods to estimate the association between bivariate failure times, even with censored data. These methods provide reliable measures of dependence for analyzing time-to-event data in various fields.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

miR-216a rescues dexamethasone suppression of osteogenesis, promotes osteoblast differentiation and enhances bone formation, by regulating c-Cbl-mediated PI3K/AKT pathway.

Cell death and differentiation·2015

Same author

Distributions of topological observables in inclusive three- and four-jet events in pp collisions at [Formula: see text][Formula: see text].

The European physical journal. C, Particles and fields·2015

Same author

Evidence for Collective Multiparticle Correlations in p-Pb Collisions.

Physical review letters·2015

Same author

Constraints on parton distribution functions and extraction of the strong coupling constant from the inclusive jet cross section in pp collisions at [Formula: see text][Formula: see text].

The European physical journal. C, Particles and fields·2015

Same author

Search for a standard model Higgs boson produced in association with a top-quark pair and decaying to bottom quarks using a matrix element method.

The European physical journal. C, Particles and fields·2015

Same author

Search for dark matter, extra dimensions, and unparticles in monojet events in proton-proton collisions at [Formula: see text][Formula: see text].

The European physical journal. C, Particles and fields·2015

Area of Science:

Statistics
Survival Analysis
Biostatistics

Background:

Estimating association between bivariate failure times is crucial in survival analysis.
Independent right censoring can restrict the support of failure time variates.
Measures of dependence over a finite failure time region are of particular interest.

Purpose of the Study:

To propose and evaluate nonparametric estimators for association between bivariate failure times under censoring.
To introduce a weighted reciprocal cross ratio function as a summary measure of dependence.
To develop a finite-region version of Kendall's tau suitable for censored data.

Main Methods:

Nonparametric estimation techniques for bivariate failure times.
Utilizing the reciprocal cross ratio function weighted by bivariate failure time density.

Related Experiment Videos

Developing a finite-region Kendall's tau estimator for censored data.

Employing bootstrap variance estimation for assessing estimator consistency.

Main Results:

The proposed 'relative risk' estimator (weighted reciprocal cross ratio) is consistent and asymptotically normal.
A consistent bootstrap variance estimator is provided.
A finite-region Kendall's tau suitable for censored data is proposed with noted asymptotic distribution theory.

Conclusions:

The developed nonparametric methods offer robust estimation of association for bivariate failure times with censoring.
The proposed estimators and variance estimation techniques are valuable tools for survival data analysis.
Simulation studies and an illustration demonstrate the practical utility and accuracy of the methods.