$\hat{\beta}$ should be $\beta$ at start of 7.1
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MattMalis commented
The second paragraph of 7.1 reads:
We begin by setting out the assumptions we will need for establishing the large-sample properties of OLS, which are the same as the assumptions needed to ensure that the best linear predictor,
$\hat{\beta} = E[X_i X_i']^{-1} E[X_i Y_i]$ , is well-defined and unique.
I believe this should say
mattblackwell commented
Thanks for catching this!