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Consider the parameterized Weiner family {W(0) : 0 > 0 }. 3. Let Ya be the maximum of the random sample of size n from

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Consider the parameterized Weiner family {W(0) : 0 > 0 }. 3. Let Ya be the maximum of the random sample of size n from W(0). Show that YE is a consistent estimator of 0. (Note here that is the 0 is the "population maximum.") Find the pdf of Ym. (Hint: Find the cdf first.) C. Show that Y. is NOT an unbiased estimator of 0. (Hint: use (b).) d. Show how to "correct" Yn here to make it unbiased, and call your new estimator In . Show your new estimator is also consistent, hence UC

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