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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago, 6 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider the linear probability model: yi = Xi + ui , i = 1; :::; n where yi is the binary variable equal 1 or 0; Xi is the vector of observed explanatory variables; and ui is a zero-mean error term such that E(uiuj jXi ; Xj ) = 0; for i 6= j: (a) (15 points) What is the P(yi = 1jXi)? Derive the conditional distribution of ui jXi . Show that it has mean 0 and Önd its variance. (b) (15 points) Show that the OLS estimator of is unbiased and Önd its variance. (c) (10 points) Is the OLS estimator the BLUE of ? If not, give the expression for the BLUE estimator of : (d) (5 points) Discuss the drawbacks/problems of the linear probability model. 4 (e) (15 points) What alternative models/speciÖcations could one use to avoid the problems associated with the linear probability model? Write down the optimization problem that needs to be solved to estimate those alternative models.
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