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  2. Elo rating system - Wikipedia

    en.wikipedia.org/wiki/Elo_rating_system

    The probability of drawing, as opposed to having a decisive result, is not specified in the Elo system. Instead, a draw is considered half a win and half a loss. In practice, since the true strength of each player is unknown, the expected scores are calculated using the player's current ratings as follows.

  3. Chess rating system - Wikipedia

    en.wikipedia.org/wiki/Chess_rating_system

    1959 – The USCF names Arpad Elo the head of a committee to examine all rating systems and make recommendations. 1961 – Elo develops his system and it is used by the USCF. [24] It is published in the June 1961 issue of Chess Life. [25] 1970 – FIDE starts using the Elo system. Bobby Fischer is at the top of the list. [26]

  4. Log5 - Wikipedia

    en.wikipedia.org/wiki/Log5

    In addition to head-to-head winning probability, a general formula can be applied to calculate head-to-head probability of outcomes such as batting average in baseball. [ 3 ] Sticking with our batting average example, let p B {\displaystyle p_{B}} be the batter 's batting average (probability of getting a hit), and let p P {\displaystyle p_{P ...

  5. Statistical association football predictions - Wikipedia

    en.wikipedia.org/wiki/Statistical_association...

    Statistical Football prediction is a method used in sports betting, to predict the outcome of football matches by means of statistical tools. The goal of statistical match prediction is to outperform the predictions of bookmakers [citation needed] [dubious – discuss], who use them to set odds on the outcome of football matches.

  6. World Football Elo Ratings - Wikipedia

    en.wikipedia.org/wiki/World_Football_Elo_Ratings

    The World Football Elo Ratings are a ranking system for men's national association football teams that is published by the website eloratings.net. It is based on the Elo rating system but includes modifications to take various football-specific variables into account, like the margin of victory, importance of a match, and home field advantage.

  7. Bradley–Terry model - Wikipedia

    en.wikipedia.org/wiki/Bradley–Terry_model

    The model is named after Ralph A. Bradley and Milton E. Terry, [3] who presented it in 1952, [4] although it had already been studied by Ernst Zermelo in the 1920s. [1] [5] [6] Applications of the model include the ranking of competitors in sports, chess, and other competitions, [7] the ranking of products in paired comparison surveys of consumer choice, analysis of dominance hierarchies ...

  8. Glicko rating system - Wikipedia

    en.wikipedia.org/wiki/Glicko_rating_system

    Mark Glickman created the Glicko rating system in 1995 as an improvement on the Elo rating system. [1]Both the Glicko and Glicko-2 rating systems are under public domain and have been implemented on game servers online like Counter-Strike: Global Offensive, Team Fortress 2, [2] Dota 2, [3] Guild Wars 2, [4] Splatoon 2, [5] Online-go.com, [6] Lichess and Chess.com.

  9. Colley Matrix - Wikipedia

    en.wikipedia.org/wiki/Colley_Matrix

    In his initial paper at Princeton University, Colley states, "The method is based on very simple statistical principles, and uses only Div.I-A [a] wins and losses as input — margin of victory does not matter.