ECON 710 Midterm: ECON 710 UW Madison Midterm 2001a

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31 Jan 2019
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March 6, 2001: we know that both and are unbiased for , = (x 0x) 1 (x 0e) and = (x 0d 1x) 1 (x 0d 1e) (a) note that. = (x 0x) 1 (x 0e) x 0d 1x 1 x 0d 1e . X 0 x 0d 1x 1 and e | x = 0. X 0d 1 e (ee0 | x) d 1x x 0d 1x 1. 0 = cov , | x . = cov , | x cov , | x . = cov , | x v ar | x , it follows from our result in part (a) that cov , | x = v ar | x . V ar | x = v ar | x + v ar | x + cov , | x + cov , | x 0. = v ar | x + v ar | x v ar | x v ar | x .

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