q03_sol - ISyE 2028A, Summer 2010 1. A point estimator is...

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ISyE 2028A, Summer 2010 Friday June 4 Quiz 3 (Pre) Solutions 1. A point estimator ˆ θ is said to be a(n) __________ estimator of ˆ if ˆ () E θθ = for every possible value of . [1 point] ANSWER: unbiased 2. Among all estimators of parameter that are unbiased, choose the one that has minimum variance. The resulting ˆ is called the __________ of . [1 point] ANSWER: minimum variance unbiased estimator (MVUE) 3. In your text, two important methods were discussed for obtaining point estimates: the method of __________ and the method of __________. [2 points] ANSWER: moments, maximum likelihood 4. Which of the following statements are true if 12 ,, , n XX X  is a random sample from a distribution with mean 2 and variance µσ ? [1 point] A. 2 22 ( ) /( 2) is an unbiased estimator of S XX n σ = −+ B. 2 ( ) /( 1) is an unbiased estimator of
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