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  3. let y 1 ,...,y n be a sample from the density f(y)

Let Y 1 ,...,Y n be a sample from the density f(y) = λ 2 ye...

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Statistics

Let Y 1 ,...,Y n be a sample from thedensity f(y) = λ 2 ye −λy , y > 0 where λ> 0 is an
unknown parameter.
(a) Find an estimator 'λ 1 of λ by Method ofMoments
(b) Find an estimator 'λ 2 of λ by Method of MaximumLikelihood.
(c) Find an estimator 'λ 3 of λ that is a Sufficientestimator. Can you construct a
Minimal Variance Unbiased Estimator? Justify.

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