I have an outcome variable that is a count (i.e. # of deaths). There is missing data that I would like to address. However, the solutions I typically use (maximum likelihood or multiple imputation) produce values that are not an integer. A negative binomial regression requires an integer.

Is there a technique that anyone is aware of that I can use to replace missing values that will result in an integer? As a long shot, would it be acceptable to round the non-integers to integers?

Thanks!

Dave