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Eugene Potemkin's E-RatingIt is extreme simple method of calculation of a rating of an estimation of performance of a team in the championship. It does not depend on a sequence of matches. As is a necessary condition for summarizing all championship. It not a rating for prediction and not a rating for an explanation of results of matches. They basically should contain time-dependent parameter. For example rating Elo will change, if you change the order of realization of matches. For a rating of force (Pi) Li * Pi = Sum (Lji * Pj) Here Li - number of defeats of a team "i" Lji - number of defeats of a team "j" from a team) "i" Pi - a rating of force of a team "i" Pj - a rating of force of a team "j" You have the N linear equations. One of equations replace with a condition Sum Pi = const Or simply believe anyone Pi = 1. This team also will be "standard" for others. But with the same basis we can construct a rating of "weakness". In this case we are founded on statistics of wins (Wi) For a rating of weakness (Si) the same: Wi * Si = Sum (Wji * Sj) and Sum Si = const Or for one of teams Si = 1 Here Wi - number of victories of a team "i" Lji - number of victories of a team "J" from a team "i" Si - a rating of weakness of a team "i" Sj - a rating of weakness of a team "j" And at last a final E-rating for an estimation of the participant of competitions Ri = Pi - Si Complete E-Rating description |
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