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1. Let X1, . . . , Xn iid Unif(0, ). We have focused on using asymptotic intervals based on the MLE, but it is

1. Let X1, . . . , Xn iid Unif(0, ). We have focused on using asymptotic intervals based on the MLE, but it is possible to make a asymptotic interval from any asymptotic distribution. (a) Derive an asymptotic distribution for the MOM estimator = 2X of the form. (b) From this choose an approximate pivot and interval to get an interval that asymptotically has 100(1 )% coverage.

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