And the psychiatric definition is attraction to pre-pubescent children.
And the statistics aren’t actually as hard to define as you might think, though the amount of research this topic gets is woefully underrepresented relative to the social impact.
For example, on the topic of violent offenders in prison you bought up:
Of the 100 male inmates who participated in this study, 59% reported experiencing some form of sexual abuse before puberty, and all such instances occurred before or at the age of 13 years.