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(Solution Library) Let X1, X2,…,Xn be a random sample of size n from a normal distribution, Xi ~ N(mu, sigma^2), and define U = sum from i=1 to n of [Xi]

Question: Let X1, X2,…,Xn be a random sample of size n from a normal distribution, Xi ~ N(mu, sigma^2), and define U = sum from i=1 to n of [Xi] and W = sum from 1 to n of [Xi^2]

Find a statistic that is a function of U and W and unbiased for the parameter theta=2 mu – 5(sigma^2)
Find a statistic that is unbiased for sigma^2 + mu^2

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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(Solution Library) Let X1, X2,…,Xn be a random sample of size n from a normal distribution, Xi ~ N(mu, sigma^2), and define U = sum from i=1 to n of [Xi]

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