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Subject: Re: bayeselo: new Elo-rating tool, applied to CCT7

Author: Rémi Coulom

Date: 09:52:27 02/14/05

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On February 14, 2005 at 10:40:30, Steve Maughan wrote:

>Remi,
>
>Interesting and cool - I really like the matrix view.  Could you explain at a
>reasonably high level the theory behind this approach?
>
>Thanks,
>
>Steve

The theory is explained on the page (http://remi.coulom.free.fr/Bayesian-Elo/),
and in the links that are at the bottom of the page.

If you found it too detailed or too complicated, I would be glad to explain
more. But you'll have to tell me first what you do not understand. Do you
understand Bayesian inference ? Do you know what is a likelihood distribution
and a conditional probability ? Do you know what is a Gaussian, a covariance
matrix, a Hessian matrix ? Do you understand how ELOStat works ?

In practice, the most important differences between my tool and ELOStat are:
 - The estimation of ratings is based on a more sound statistical method (well,
this may be open to debate, but I am deeply convinced of it)
 - bayeselo takes the advantage of playing white into consideration, whereas
ELOStat does not.
 - bayeselo is able to deal correctly with tricky situations, such as: A plays
many games against B, C plays many games against D, and B plays only one game
against C. An example is given there:
http://wbforum.volker-pittlik.name/viewtopic.php?p=7614#7614

Rémi



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