Suppose Y1,··· ,Yn is a sample from a exponential distribution with mean θ, and let Y(1),··· ,Y(n) denote the order statistics of the sample.
(a) Find the constant c so that cY(1) is an unbiased
estimator of θ.
(b) Find the suﬃcient statistic for θ and MVUE for θ.
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