I apologize if I am misinterpreting your post, but you're seeming to come off very condescending. I did not compare behavior analysis to math, the opposite actually, I defended myself again your claim that I am using "SK 101" and to state that I am well aware that gathered stats are very small samples, and that the research in the area of bs is constantly changing and evolving. My statement about 49% was just a statement. Nothing more and nothing less. Just food for thought.
"Statistics never lie, but liars use statistics". I have done a lot of work with statistics in my grad classes that deals with criminal trends, poverty, and everything else under the sun. Statistics are very useful to an extent, but modern academia puts way to much emphasis on their value, especially in the fields of psychology and sociology. Statistics can be flawed for many reason, including the size of samples..etc. But, the major failure when it comes to using statistics for formulate fact (my profs would kill me if they read this) is that they are based on self-reporting (I am not going to get into how unreliable that can be). Stanton Samenow, a renown criminologist for like the last 40 years, targeted this issue in a relatively recent book, which really pissed off academia, who tend to be very left leaning, for many reasons.
Geographic profiling is gaining a lot of ground, but, as you said, a serial killer in kansas is going to have different trends then a serial killer in NYC.
So, I think we are in agreement in many areas. When it comes to behavior analysis of violent crime, I tend to shy away from academics and those who have never seen a crime scene, a dismembered victim, never spoken to a victim/family, never interviewed or interrogated a killer of any kind, and have never investigated a crime, especially a serial killers crime, to its completion. There are many things that I do not know, and I do not pretend to be an expert. I strongly admire the works of those whom have worked in the field, and are gifted enough to detail their findings.
Ressler, Douglas, McCary and other like him have spent years hunting these people with mindblowing success. (And they still do to this day) Its not just their statistics in the criminal personality indentification project that are of interest, they have detailed dozens of cases and walk the reader through step by step on how it was solved. McCary still does consulting for LE agencies.
You seem to be very involved in these killings. Have you collected data on what has been released and verified as truth? If so, would you be interested in sharing?