Top

Lifetime Data Analysis

Published in:

23-06-2016

Association measures for bivariate failure times in the presence of a cure fraction

Authors: Lajmi Lakhal-Chaieb, Thierry Duchesne

Published in: Lifetime Data Analysis | Issue 4/2017

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

This paper proposes a new joint model for pairs of failure times in the presence of a cure fraction. The proposed model relaxes some of the assumptions required by the existing approaches. This allows us to add some flexibility to the dependence structure and to widen the range of association measures that can be defined. A numerically stable iterative algorithm based on estimating equations is proposed to estimate the parameters. The estimators are shown to be consistent and asymptotically normal. Simulations show that they have good finite-sample properties. The added flexibility of the proposal is illustrated with an application to data from a diabetes retinopathy study.

next article Causal mediation analysis on failure time outcome without sequential ignorability

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Available only for authorised users

Cantor AB, Shuster JJ (1992) Parametric versus non-parametric methods for estimating cure rates based on censored survival data. Stat Med 11:931–937CrossRef

Chatterjee N, Shih JH (2001) A bivariate cure-mixture approach for modeling familial association in diseases. Biometrics 57:779–786MathSciNetCrossRefMATH

Chen C-M, Lu T-FC (2012) Marginal analysis of multivariate failure time data with a surviving fraction based on semiparametric transformation cure models. Comput Stat Data Anal 56:645–655MathSciNetCrossRefMATH

Chen C-M, Lu T-FC, Hsu CM (2013) Association estimation for clustered failure time data with a cure fraction. Comput Stat Data Anal 57:201–222MathSciNetMATH

Chen MH, Ibrahim JG, Sinha D (2002) Bayesian inference for multivariate survival data with a cure fraction. J Multivar Anal 80:101–126MathSciNetCrossRefMATH

Choi S, Huang X, Chen Y-H (2014) A class of semiparametric transformation models for survival data with a cured proportion. Lifetime Data Anal 20:369–386MathSciNetCrossRefMATH

Ding AA, Hsieh J-J, Wang W (2015) Local linear estimation of concordance probability with application to covariate effects models on association for bivariate failure-time data. Lifetime Data Anal 21:42–74MathSciNetCrossRefMATH

Elashoff M, Ryan L (2004) An EM algorithm for estimating equations. J Comput Graph Stat 13:48–65MathSciNetCrossRef

Hu T, Nan B, Lin X, Robins JM (2011) Time-dependent cross ratio estimation for bivariate failure times. Biometrika 98:341–354MathSciNetCrossRefMATH

Huster Brookmeyer R, Self SG (1989) Modelling paired survival data with covariates. Biometrics 45:145–156MathSciNetCrossRefMATH

Lai X, Yau KKW (2008) Long-term survivor model with bivariate random effects: applications to bone marrow transplant and carcinoma study data. Stat Med 29:5692–5708MathSciNetCrossRef

Lakhal-Chaieb ML (2010) Copula inference under censoring. Biometrika 97:505–512MathSciNetCrossRefMATH

LeCessie S, van Houwelingen JC (1994) Logistic regression for correlated binary data. Appl Stat 43:95–108CrossRefMATH

Li Y, Prentice RL, Lin X (2008) Semiparametric maximum likelihood estimation in normal transformation models for bivariate survival data. Biometrika 95:947–960MathSciNetCrossRefMATH

Lu W, Ying Z (2004) On semiparametric transformation cure models. Biometrika 91:331–343MathSciNetCrossRefMATH

Niu Y, Peng Y (2014) Marginal regression analysis of clustered failure time data with a cure fraction. J Multivar Anal 123:129–142MathSciNetCrossRefMATH

Peng Y, Taylor JM (2011) Mixture cure model with random effects for the analysis of a multi-center tonsil cancer study. Stat Med 30:211–223MathSciNetCrossRef

Peng Y, Taylor JM, Yu B (2007) A marginal regression model for multivariate failure time data with a surviving fraction. Lifetime Data Anal 13:351–369MathSciNetCrossRefMATH

Sivaprasad S, Gupta B, Crosby-Nwaobi R, Evans J (2012) Prevalence of diabetic retinopathy in various ethnic groups: a worldwide perspective. Surviv Ophthalmol 57:347–370CrossRef

Therneau TM, Grambsch PM (2000) Modeling survival data: extending the Cox model. Springer, New YorkCrossRefMATH

Tsodikov AD, Ibrahim JG, Yakovlev AY (2003) Estimating cure rates from survival data: an alternative to two-component mixture models. J Am Stat Assoc 98:1063–1078MathSciNetCrossRef

Wienke A, Lichtenstein P, Yashin AI (2003) A Bivariate frailty model with a cure fraction for modeling familial correlations in diseases. Biometrics 59:1178–1183MathSciNetCrossRefMATH

Xu J, Peng Y (2014) Nonparametric cure rate estimation with covariates. Can J Stat 42:1–17MathSciNetCrossRefMATH

Yakovlev AY (1994) Letter to the editor. Stat Med 13:983–986CrossRef

Title: Association measures for bivariate failure times in the presence of a cure fraction
Authors: Lajmi Lakhal-Chaieb
Thierry Duchesne
Publication date: 23-06-2016
Publisher: Springer US
Published in: Lifetime Data Analysis / Issue 4/2017
Print ISSN: 1380-7870
Electronic ISSN: 1572-9249
DOI: https://doi.org/10.1007/s10985-016-9371-2

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft"

Springer Professional "Wirtschaft+Technik"

Other articles of this Issue 4/2017

Regression analysis of clustered failure time data with informative cluster size under the additive transformation models

A new approach to regression analysis of censored competing-risks data

Optimal treatment regimes for survival endpoints using a locally-efficient doubly-robust estimator from a classification perspective

Joint analysis of panel count data with an informative observation process and a dependent terminal event

splitting rules in survival forests

Causal mediation analysis on failure time outcome without sequential ignorability