# The na\"ive estimator of a Poisson regression model with measurement errors

@inproceedings{Wada2022TheNE, title={The na\"ive estimator of a Poisson regression model with measurement errors}, author={Kentarou Wada and Takeshi Kurosawa}, year={2022} }

We generalize the na¨ıve estimator of a Poisson regression model with measurement errors as discussed in Kukush et al. [1]. The explanatory variable is not always normally distributed as they assume. In this study, we assume that the explanatory variable and measurement error are not limited to a normal distribution. We clarify the requirements for the existence of the na¨ıve estimator and derive its asymptotic bias and asymptotic mean squared error (MSE). In addition, we propose a consistent…

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