LetX1,X2,...Xnbe a random sample of size n form a uniform distributionon the interval [?1,?2].Let Y = min(X1,X2,...,Xn).
(a) Find the density function for Y. (Hint: find thecdf and then differentiate.)
(b) Compute the expectation of Y.
(c) Suppose ?1= 0. Use part (b) to give anunbiased estimator for ?2.
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