### A double-sampling approach for maximum likelihood estimation for a Poisson rate parameter with visibility-biased data

J. D. Stamey, D. M. Young & M. Cecchini
We propose a Poisson-based model that uses both infallible data and fallible data subject to misclassification in the form of false negatives that yield visibility bias. We than derive maximum likelihood estimators for the Poisson rate parameter of interest and the misclassification parameter under two different sampling scenarios. We also derive expressions for the information matrices and the asymptotic variances of the maximum likelihood estimators for the rate parameter and the maximum likelihood estimators for...