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Estimation of the hazard function in a semiparametric model with covariate measurement error

Marie-Laure Martin-MagnietteMarie-Luce Taupin — 2009

ESAIM: Probability and Statistics

We consider a failure hazard function, conditional on a time-independent covariate , given by η γ 0 ( t ) f β 0 ( Z ) . The baseline hazard function η γ 0 and the relative risk f β 0 both belong to parametric families with θ 0 = ( β 0 , γ 0 ) m + p . The covariate has an unknown density and is measured with an error through an additive error model where is a random variable, independent from , with known density f ε . We observe a -sample , = 1, ..., , where is the minimum between the failure time and the censoring time, and ...

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