A measurement error model with a Poisson distributed surrogate.

@article{Li2004AME,
  title={A measurement error model with a Poisson distributed surrogate.},
  author={Liang Li and Mari Palta and Jun Shao},
  journal={Statistics in medicine},
  year={2004},
  volume={23 16},
  pages={
          2527-36
        }
}
We study a linear model in which one of the covariates is measured with error. The surrogate for this covariate is the event count in unit time. We model the event count by a Poisson distribution, the rate of which is the unobserved true covariate. We show that ignoring the measurement error leads to inconsistent estimators of the regression coefficients and propose a set of unbiased estimating equations to correct the bias. The method is computationally simple and does not require using… CONTINUE READING