Estimating subject-specific hazard functions

The central idea of this paper is to compare mean responses of several subjects in the presence of censoring and subject-specific variation. We develop a semiparametric mixed model for fitting subject-specific hazard curves to a set of censored failure times. A spline-based model and a mixed effects...

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Published inJournal of the Royal Statistical Society Series C: Applied Statistics Vol. 72; no. 3; pp. 739 - 749
Main Authors Chatterjee, Moumita, Ganguli, Bhaswati, Sen Roy, Sugata
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 13.06.2023
Subjects
Asymptotic methods
Asymptotic properties
Curve fitting
Estimation
Failure times
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Summary:The central idea of this paper is to compare mean responses of several subjects in the presence of censoring and subject-specific variation. We develop a semiparametric mixed model for fitting subject-specific hazard curves to a set of censored failure times. A spline-based model and a mixed effects framework for smoothing are used. Efficient estimators of fixed parameters and predictors of the random components are derived and their asymptotic properties studied. This is a generalization of the method proposed by [Cai, T., Hyndman, R. J., & Wand, M. P. (2002). Mixed model-based hazard estimation. Journal of Computational and Graphical Statistics, 11(4), 784–798. https://doi.org/10.1198/106186002862] to incorporate additional subject-specific variation of the hazard function. The results are illustrated using two motivating examples.
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ISSN:0035-9254
1467-9876
DOI:10.1093/jrsssc/qlad030