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  • $\begingroup$ Since the 1st condition also is stronger than the usual one, it would be helpful if you could provide the reference for these two conditions. $\endgroup$ Commented May 16, 2014 at 19:53
  • $\begingroup$ Wooldridge, §5.1.1 $\endgroup$ Commented May 16, 2014 at 20:58
  • $\begingroup$ Um... in Wooldridge condition 1) is $\text{Cov}(z_1,u)=0$. In my copy at least ;-) $\endgroup$ Commented May 16, 2014 at 21:34