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URegression and Survival Analysis

N. J. D. Nagelkerke, Francis A. Plummer

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Abstract

Abstract The problem of survival analysis with covariates when observations are subject to irregular interval censoring is considered. A proportional hazards model is assumed. A pseudo likelihood based on the comparison of all pairs of individuals whose survival times can be ordered, is proposed. Statistical properties of the maximum pseudo likelihood estimator and its score test are explored. Several examples are presented, one of which is an examination of the effect of covariates on HIV seroconversion.

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What this paper is about

Abstract The problem of survival analysis with covariates when observations are subject to irregular interval censoring is considered. A proportional hazards model is assumed. A pseudo likelihood based on the comparison of all pairs of individuals whose survival times can be ordered, is proposed. Statistical properties of the maximum pseudo likelihood estimator and its score test are explored. Several examples are presented, one of which is an examination of the effect of covariates on HIV seroconversion.

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Available abstract

Abstract The problem of survival analysis with covariates when observations are subject to irregular interval censoring is considered. A proportional hazards model is assumed. A pseudo likelihood based on the comparison of all pairs of individuals whose survival times can be ordered, is proposed. Statistical properties of the maximum pseudo likelihood estimator and its score test are explored. Several examples are presented, one of which is an examination of the effect of covariates on HIV seroconversion.

Key concepts: Censoring (clinical trials), Statistics, Covariate, Kaplan–Meier estimator, Mathematics, Survival analysis, Proportional hazards model, Estimator

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