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Weibull distribution
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===Minima=== Let <math>X_1, X_2, \ldots, X_n</math> be independent and identically distributed Weibull random variables with scale parameter <math>\lambda</math> and shape parameter <math>k</math>. If the minimum of these <math>n</math> random variables is <math>Z = \min(X_1, X_2, \ldots, X_n)</math>, then the cumulative probability distribution of <math>Z</math> is given by :<math>F(z) = 1 - e^{-n(z/\lambda)^k}.</math> That is, <math>Z</math> will also be Weibull distributed with scale parameter <math>n^{-1/k} \lambda</math> and with shape parameter <math>k</math>.
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