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