POI-SIMEX, a SIMEX variant for conditionally Poisson covariates, recovers the true regression coefficients in the large-sample limit, provided the extrapolation step is exact.
A measurement error model with a Poisson distributed surrogate
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Strong Consistency of the SIMEX Estimator in Linear Regression with a Conditionally Poisson Covariate
POI-SIMEX, a SIMEX variant for conditionally Poisson covariates, recovers the true regression coefficients in the large-sample limit, provided the extrapolation step is exact.