I think the question is twofold. What the most common detected mental illnesses are is one question. What the common underlying, undetected mental illnesses are would be another question. With my familiarity with the literature, I can't separate it by men and women, although the profiles would be much different.
The correctional system tends to concentrate on more severe types of mental illness in terms of their identification, which would be schizophrenia and other psychotic disorders. The less severe depression and anxiety disorders might not be picked up on the radar in terms of the screening and assessment, perhaps because of a lack of available services to address those underlying problems. I can't give you exact figures for that particular question. I'm sorry.