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Q33Section A (Section A)33 of 35

MLE of the rate of a Weibull-type density

Let X1,…,XnX_1,…,X_n be a random sample from a population with the probability density function f(x,α)=3αx2e−αx3f(x,\alpha)=3\alpha x^2e^{-\alpha x^3}, x>0x>0, α>0\alpha>0. Then the maximum likelihood estimator of α\alpha is

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