Test_2_1999 - Department of Economics University of...

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Department of Economics Professor Dale J. Poirier University of California, Irvine December 9, 1999 FINAL EXAM ECON 220A Statistics and Econometrics I (open book) Directions : You must answer each of the following questions. Points (out of 100) are allocated as noted to the left of each question. Allocate your time according to these points. To receive any partial credit, you must show your work. Results from the text need not be reproduced in detail - you can merely cite the source. (20) 1. Let and be two estimators of a scalar parameter θ ˆ θ 1 ˆ θ 1 (Y) ˆ θ 2 ˆ θ 2 (Y) based on the data Y. Under quadratic loss, suppose is admissible and is ˆ θ 1 ˆ θ 2 inadmissible. What can you conclude about MSE( ˆ θ 1 ) MSE( ˆ θ 2 )?
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2 (20) 2. Given the data Y, let be the Bayesian estimator of a scalar parameter ˆ θ ˆ θ (Y) θ under quadratic loss, based on a proper prior density f( θ ) with finite prior mean. Let
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This note was uploaded on 12/13/2011 for the course ECON 220a taught by Professor Poirier,d during the Fall '08 term at UC Irvine.

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Test_2_1999 - Department of Economics University of...

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