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Journal ArticleDOI

Analysis of competing risks survival data when some failure types are missing

Els Goetghebeur, +1 more
- 01 Dec 1995 - 
- Vol. 82, Iss: 4, pp 821-833
TLDR
In this paper, the authors proposed a method to analyse competing risks survival data when failure types are missing for some individuals, based on a standard proportional hazards structure for each of the failure types, and involves the solution to estimating equations.
Abstract
We propose a method to analyse competing risks survival data when failure types are missing for some individuals. Our approach is based on a standard proportional hazards structure for each of the failure types, and involves the solution to estimating equations. We present consistent and asymptotically normal estimators of the regression coefficients and related score tests. An appealing feature is that individuals with known failure types make the same contributions as they would to a standard proportional hazards analysis. Contributions of individuals with unknown failure types are weighted according to the probability that they failed from the cause of interest. Efficiency and robustness are discussed. Results are illustrated with data from a breast cancer trial.

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BookDOI

Applied Bayesian modeling and causal inference from incomplete-data perspectives : an essential journey with Donald Rubin's statistical family

TL;DR: Applied Bayesian modeling and causal inference from incomplete-data perspectives as discussed by the authors, applied Bayesian modelling and causality from incomplete data perspectives, Applied Bayesian model and inference in incomplete data perspective.
Book

Applied Bayesian Modeling And Causal Inference From Incomplete-Data Perspectives

Andrew Gelman, +1 more
TL;DR: Applied Bayesian modeling and causal inference from incomplete-data perspectives, Applied Bayesian modeled and causal inferability from incomplete data perspectives, and more.
Journal ArticleDOI

Multiple Imputation Methods for Estimating Regression Coefficients in the Competing Risks Model with Missing Cause of Failure

TL;DR: A method to estimate the regression coefficients in a competing risks model where the cause-specific hazard for the cause of interest is related to covariates through a proportional hazards relationship and when cause of failure is missing for some individuals is proposed.
Journal ArticleDOI

Biometrika Centenary: Survival analysis

David Oakes
- 01 Feb 2001 - 
TL;DR: A survey of the development of survival analysis throughout the twentieth century as reflected in the pages of Biometrika, focusing primarily on work published since 1980, is presented in this paper.
Journal ArticleDOI

Survival with competing risks and masked causes of failures

TL;DR: In this article, the authors show how stage 1 and stage 2 information can be combined to provide statistical inference about (a) survival functions of individual risks, (b) the proportions of failures associated with individual risks and (c) probability, for a specified masked case, that each of the masked competing risks is responsible for the failure.
References
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Book

Statistical Analysis with Missing Data

TL;DR: This work states that maximum Likelihood for General Patterns of Missing Data: Introduction and Theory with Ignorable Nonresponse and large-Sample Inference Based on Maximum Likelihood Estimates is likely to be high.
Journal ArticleDOI

Longitudinal data analysis using generalized linear models

TL;DR: In this article, an extension of generalized linear models to the analysis of longitudinal data is proposed, which gives consistent estimates of the regression parameters and of their variance under mild assumptions about the time dependence.
Book

Analysis of Survival Data

David Cox, +1 more
TL;DR: In this article, the authors give a concise account of the analysis of survival data, focusing on new theory on the relationship between survival factors and identified explanatory variables and conclude with bibliographic notes and further results that can be used for student exercises.
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