Question: a. Consider the linear regression model (expressed in matrices notation): Y = XB+E where c has mean 0 and variance-covariance matrix E, which is a

 a. Consider the linear regression model (expressed in matrices notation): Y

= XB+E where c has mean 0 and variance-covariance matrix E, which

a. Consider the linear regression model (expressed in matrices notation): Y = XB+E where c has mean 0 and variance-covariance matrix E, which is a known non-singular symmetric positive definite matrix. In book, and also in class, the estimator of B obtained by the general least squares method is B = (XE- X)XC-Y. Show that S is an unbiased estimator of 8 and var(B) = (X'S-1X)-1

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!