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The probability density of a one-parameter Weibull distribution is given by r2αxe-αx2 , x > 0 f(x) = 0, otherwise.
(a) Using a random sample of size n, obtain a moment estimator for α.
(b) Assuming that the following data are from a one-parameter Weibull population,
1.87 1.60 2.36 1.12 0.15
1.83 0.64 1.53 0.73 2.26
The ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5, the golden ration.
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