Friday, May 7, 2010

ELO Rating


The International Rating in Chess is calculated using the ELO Rating system created by Professor Arpad Elo.

Prior to this, the USCF (United States Chess Federation) was using the ranking system devised by Kenneth Harkness to allow members to track their individual progress. Arpad Elo devised a new system with a more accurate statistical basis which was used by the USCF first in 1960; and later adopted by FIDE in 1970.

The basic assumption in this system was that the chess performance of each player in a game is a normally distributed random variable. And the mean value of the performance of a player changes only slowly over time. If a player wins, he is assumed to have performed at a higher level than his opponent for that game. Conversely if he loses, he is assumed to have performed at a lower level and if the game is a draw, the two players are assumed to have performed at nearly the same level.

For top players, the most important rating is their FIDE rating. FIDE issues the ratings list once every two months. The highest ever FIDE rating was 2851, which Garry Kasparov had on the July 1999 and January 2000 lists.

There are three main mathematical concerns relating to the original work of Professor Elo, namely the correct curve, the correct K-factor, and the provisional period crude calculations. However, this discussion is beyond the scope of this blog.

More Details on Wiki

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