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1. a. Let Y1, ..., Yn be iid with pdf fy (y) = =e-y/P. Use the definition to show that U = Et=1 Y; is

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1. a. Let Y1, ..., Yn be iid with pdf fy (y) = =e-y/P. Use the definition to show that U = Et=1 Y; is a sufficient statistic for the stated parameter. b. Determine the MVUE for B. Call it B1. c. Consider the statistic B2 given below. Find eff (B1, 2). Comment on your result, given your answer to b. above. Is this what you expected? B2 = 5Y, - 2Y4 + 6Y8 9

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