2 Consider the linear regression model Y₁ = x + εi (i= 1,..., n) wherea, is a k x 1 vector of regressors, B is the kx 1 vector of unknown parameters and ₁ is the unobservable error term. Assume that the random vector w; = [yi, is i.i.d. and that E (x₁) = 0. Let B = (1) ydenote the least squares estimator for B. (a) Quoting any additional assumptions that you find appropriate, show that is consistent for B.
2 Consider the linear regression model Y₁ = x + εi (i= 1,..., n) wherea, is a k x 1 vector of regressors, B is the kx 1 vector of unknown parameters and ₁ is the unobservable error term. Assume that the random vector w; = [yi, is i.i.d. and that E (x₁) = 0. Let B = (1) ydenote the least squares estimator for B. (a) Quoting any additional assumptions that you find appropriate, show that is consistent for B.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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