Generalized Linear Models Adjusting for Misrepresentation
Fit a Gamma Misrepresentation Model using EM Algorithm
Fit a Lognormal Misrepresentation Model using EM Algorithm
Fit a Negative Binomial Misrepresentation Model using EM Algorithm
Fit a Linear Regression Misrepresentation Model using EM Algorithm
Fit a Poisson Misrepresentation Model using EM Algorithm
Predict method for 'misrepEM' Model Fits
Summarize a 'misrepEM' Model Fit
Fit Generalized Linear Models to continuous and count outcomes, as well as estimate the prevalence of misrepresentation of an important binary predictor. Misrepresentation typically arises when there is an incentive for the binary factor to be misclassified in one direction (e.g., in insurance settings where policy holders may purposely deny a risk status in order to lower the insurance premium). This is accomplished by treating a subset of the response variable as resulting from a mixture distribution. Model parameters are estimated via the Expectation Maximization algorithm and standard errors of the estimates are obtained from closed forms of the Observed Fisher Information. For an introduction to the models and the misrepresentation framework, see Xia et. al., (2023) <https://variancejournal.org/article/73151-maximum-likelihood-approaches-to-misrepresentation-models-in-glm-ratemaking-model-comparisons>.