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              "value": "The probability density for the Logistic distribution is"
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          "value": "P(x) = \\frac{e^{-(x-\\mu)/s}}{s(1+e^{-(x-\\mu)/s})^2},"
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              "value": "The Logistic distribution is used in Extreme Value problems where it can act as a mixture of Gumbel distributions, in Epidemiology, and by the World Chess Federation (FIDE) where it is used in the Elo ranking system, assuming the performance of each player is a logistically distributed random variable."
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  "references": [
    ".. [1] Reiss, R.-D. and Thomas M. (2001), \"Statistical Analysis of",
    "       Extreme Values, from Insurance, Finance, Hydrology and Other",
    "       Fields,\" Birkhauser Verlag, Basel, pp 132-133.",
    ".. [2] Weisstein, Eric W. \"Logistic Distribution.\" From",
    "       MathWorld--A Wolfram Web Resource.",
    "       https://mathworld.wolfram.com/LogisticDistribution.html",
    ".. [3] Wikipedia, \"Logistic-distribution\",",
    "       https://en.wikipedia.org/wiki/Logistic_distribution"
  ],
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