Applying theory of Markov Chains to the problem of sports ranking.
Applying theory of Markov Chains to the problem of sports ranking.
Applying theory of Markov Chains to the problem of sports ranking.
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<strong>Applying</strong> <strong><strong>the</strong>ory</strong> <strong>of</strong> <strong>Markov</strong> <strong>Chains</strong> <strong>to</strong> <strong>the</strong> <strong>problem</strong> <strong>of</strong> <strong>sports</strong> <strong>ranking</strong>.Google’s <strong>ranking</strong> algorithm.PageRank vec<strong>to</strong>r π.◮ G is <strong>the</strong> transition probability matrix.◮ G is irreducible (and aperiodic).◮ <strong>Markov</strong> <strong>Chains</strong> <strong><strong>the</strong>ory</strong> implies:π T (0)G k → π Tsuch that π T =π T G
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