@4670
"There is no mathematical way to prove these games only had 0-1 errors."
++ Yes there is. 30th ICCF WC Finals. Assume a Poisson distribution. Fit a Poisson distribution. Result: 127 games with 0 error, 9 games with 1 error, < 0.4 game with >1 error.
"In chess all events affect the next one" 
++ There is no next one in ICCF WC finals. No error =  draw, 1 error = loss.
"we can't predict them with poissons distribution"
++ Let us assume for whatever reason Poisson were not applicable.
Please then come up with an alternative, plausible distribution of errors by whatever means.
With Poisson: the 30th ICCF WC finals: 127 draws with 0 error, 9 decisive games with 1 error (?).
Zürich 1953 Candidates: 74 draws with 0 error, 77 decisive games with 1 error (?), 40 draws with 2 errors (?) that undo each other, 14 decisive games with 3 errors, either 3 lone errors (?), or an error (?) and a blunder (??),  4 draws with 4 errors, either 4 lone errors (?), or an error (?), a blunder (??) and an error (?), 1 decisive game with 5 errors: either 5 lone errors (?), or 3 errors (?) and a blunder (??), or 1 error (?) and 2 blunders (??).
30th ICCF WC Finals:
0 errors: ... games,
1 error:   ... games,
2 errors: ... games,
3 errors: ... games.
Zürich 1953 Candidates:
0 errors: ... games,
1 error:   ... games,
2 errors: ... games,
3 errors: ... games,
4 errors: ... games,
5 errors: ... games,
6 errors: ... games,
7 errors: ... games.
Round and round we go.
"Yes there is. 30th ICCF WC Finals. Assume a Poisson distribution. "
Again you're using poisson distribution to calculate this that gives you incorrect results like Ive explained before. It assumes each error after the first one has the same probability, in which case errors >1 would be very rare. In reality each error has a different probability and poisson distribution fails to take this into consideration.
"Let us assume for whatever reason Poisson were not applicable"
It's not just some whatever reason, Ive pointed out exactly why it doesn't apply here.
"Please then come up with an alternative, plausible distribution of errors by whatever means."
It's impossible with the data that we have. I could just put in there 99 errors per game if I so wished.
I think we've come as far as we can with this discussion.
 
     
     
     
     
     
    
Question.
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Really tired of receiving 10 to 30 alerts a day just for this blog!