3.1 Sampling distribution of OLS estimator So far,we know that given the Gauss- Markov assumptions,OLS is BLUE, In order to do classical hypothesis testing, we need to add another assumption(beyond the Gauss-Markov assumptions) A6.Assume that conditional on X,u is normally distributed with zero mean and variance o2:uX~Normal(0,o21) Econometrics 15-Zhuxi@SJTU 4Econometrics 15 - Zhuxi@SJTU 4 3.1 Sampling distribution of OLS estimator So far, we know that given the GaussMarkov assumptions, OLS is BLUE, In order to do classical hypothesis testing, we need to add another assumption (beyond the Gauss-Markov assumptions) A6. Assume that conditional on X, u is normally distributed with zero mean and variance s2 : u|X ~ Normal(0,s2 I)