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3.3 Let X, ., X, be a random sample of size n from the U(0, e) distribution, Be Ω (0, o), and let Yz be the largest order statistic of the X,s. Then (i) Employ formula (29) in Chapter 6 in order to obtain the p.d.f. of Y,. (ii) Use part (i) in order to construct an unbiased estimate of θ depending only on (iii) By Example 6 here (with α-0 and A-0) in conjunction with Theorem 3, show that the (Hint for part ii: find the expected value of Yn) unbiased estimate in part (ii) depends only on a sufficient statistic for 6

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