Maybe one day FIDE will rule out the matter, maybe FIDE one day will reject your BELIEF on statistical analysis as correct, because refuted by other mathematicians, till then, let's go on the facts: Ivanov is not a cheater, has not been banned by FIDE or the Bulgarian federation, and he is still playing chess like every other chess player.
Not being caught does not mean someone didn't cheat. That point should be really easy to understand.
For a long long time many people were aware that Lance Armstrong was doping up to win races. He denied it for a that whole time. He was initially investiagated and not found guilty.
Despite all that, he still cheated and eventually it all came out even though it was years after the fact. Just because at the time it wasn't 100% proven and ruled to be cheating doesn't mean he didn't cheat and now he has even confirmed he cheated by doping.
So why you would focus on only the fact he hasn't currently been ruled 100% to have cheated as proof that he hasn't cheated is baffling. That is not how a logical argument works.
Rusconi, FIDE and the Bulgarian Chess Federation do not currently have a method for analysing games to determine whether a player cheated. As a result of Ivanov's performance, FIDE is now being asked to come up with a method of detection. Kenneth Regan, an IM and statistician, has written to FIDE to start discussing how to do this.
Ivanov cheated, that much is clear. The question is whether a statistical analysis alone is enough for FIDE to ban him. This analysis has been good enough in the USCF, and it will probably be good enough for FIDE too.
The fact that a person hasn't been punished for a crime doesn't make him guilty or innnocent.
I do understand that some people here have comprehension difficulties, maybe they didn't go to a good school, and obviously lack the reasoning tools they do need to understand "facts."
But let's come up with a simple example: in the country of Ruthania there are no speeding laws- Ivanov is driving at 100 mph (but he could drive at 65, 45, 111, it doesn't matter). Now you say: he is speeding for the USCF laws (but strangely you forgot to mention which laws where approved by USCF, which were not approved by FIDE, since the USCF is under FIDE, not the contrary). Great, but Ruthania is not under USCF jurisdiction. Ruthania is under FIDE jurisdiction, which you just admitted doesn't have a law about it, or even the tools to detect the speeding.
So now we return to the "facts," hoping you have something relevant to say:
1. Is Ivanov under investigation for cheating by FIDE? Can you mention the committee? Or Board review which is investigating him?
2. Is Ivanov under investigation for cheating by the Bulgarian federation? Again details which can be verified, since otherwise you are just slandering someone for your personal opinions, which are not based on facts.
3. Is he not playing at the 35th Bulgaria Open?
Maybe one day FIDE will rule out the matter, maybe FIDE one day will reject your BELIEF on statistical analysis as correct, because refuted by other mathematicians, till then, let's go on the facts: Ivanov is not a cheater, has not been banned by FIDE or the Bulgarian federation, and he is still playing chess like every other chess player.