title: Frailty models for arbitrarily censored and truncated data.
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.
authors.affiliation: CNRS 8145, MAP 5, UFR Biomédicale, Université René Descartes, 45, rue des Saints-Pères, 75 270 Paris Cedex 06, France. catherine.huber@univ-paris5.fr
authors.forename: Catherine
authors.initials: C
authors.lastname: Huber-Carol
authors.forename: Ilia
authors.initials: I
authors.lastname: Vonta
mesh_terms: D000163:Acquired Immunodeficiency Syndrome / Q000209:etiology* / Q000401:mortality*; D003627:Data Interpretation, Statistical; D005260:Female; D006801:Humans; D015993:Life Tables; D008297:Male; D015233:Models, Statistical; D016016:Proportional Hazards Models; D012680:Sensitivity and Specificity; D016019:Survival Analysis; D065227:Transfusion Reaction