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Competitive Stats
Q91Section III (Statistics)91 of 145

The Weibull hazard αλαtα−1\alpha\lambda^\alpha t^{\alpha-1} increases iff α≥1\alpha\ge1

Let X be a random variable with distribution function Fα(t)=1−exp⁡(−(λt)α)F_\alpha(t)=1-\exp(-(\lambda t)^\alpha), λ,α>0\lambda,\alpha>0, t≥0t\ge0. Then:

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