Question: Suppose that in the linear model Y, = #3:: + lXi + u,- the error has zero mean, E (11,-) = 0, that it has

 Suppose that in the linear model Y, = #3:: + lXi

Suppose that in the linear model Y, = #3:: + lXi + u,- the error has zero mean, E (11,-) = 0, that it has a nonzero conditional mean, E (uXm-JI 9E 0, that observations (H, X;) are independent and identically distributed and that the fourth moments of Y5 and X; are nite. Is the OLS estimator 31 biased? Is it consistent? [11 case it is biased and there is positive correlation between the regresm and the error, does 31 tend to overestimate or underestimate the true value of 31'? Discuss briey

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!