The Gauss-Markov Theorem states that the OLS estimators are BLUE if some of the main OLS assumptions are satisfied. Which of these assumptions do not hold by definition when we run a Linear Probability Model (LPM)? Why?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 12EQ: 12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction...
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The Gauss-Markov Theorem states that the OLS estimators are BLUE if some of the main OLS assumptions are satisfied. Which of these assumptions do not hold by definition when we run a Linear Probability Model (LPM)? Why?

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