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Semiparametric approach to regression with a covariate subject to a detection limit

Semiparametric approach to regression with a covariate subject to a detection limit

We consider generalized linear regression with a covariate left-censored at a lower detection limit. Complete-case analysis, where observations with values below the limit are eliminated, yields valid estimates for regression coefficients but loses efficiency, ad hoc substitution methods are biased, and parametric maximum likelihood estimation relies on parametric models for …