Frailty models for arbitrarily censored and truncated data.

Catherine Huber-Carol; Ilia Vonta

doi:10.1007/s10985-004-4773-y

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Frailty models for arbitrarily censored and truncated data.

Catherine Huber-Carol·Ilia Vonta

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Abstract

In this paper, we propose a frailty model for statistical inference in the case where we are faced with arbitrarily censored and truncated data. Our results extend those of Alioum and Commenges (1996), who developed a method of fitting a proportional hazards model to data of this kind. We discuss the identifiability of the regression coefficients involved in the model which are the parameters of interest, as well as the identifiability of the baseline cumulative hazard function of the model which plays the role of the infinite dimensional nuisance parameter. We illustrate our method with the use of simulated data as well as with a set of real data on transfusion-related AIDS.

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Acquired Immunodeficiency Syndrome Data Interpretation, Statistical Female Humans Life Tables Male Models, Statistical Proportional Hazards Models Sensitivity and Specificity Survival Analysis Transfusion Reaction Comparative Study Journal Article

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Catherine Huber-Carol, Ilia Vonta. 2004. Frailty models for arbitrarily censored and truncated data.. https://doi.org/10.1007/s10985-004-4773-y

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