You might want to check out the paper by King and Zeng, "Logistic Regression in Rare Events Data" that addresses the rare events problem and also cites Firth's paper. I am interested in knowing how you have progressed with the modeling of the rare data, as I have a similar extremely rare events data to process. ... View more

Are you asking about Linear or Logistic regression? If Logistic Regression, then there is a very good paper by King and Zeng, "Logistic Regression in Rare Events Data" that gives a formula for bias to account for missing data. ... View more