$\displaystyle I^{-\frac{1}{2}} U \approx N(0,1) $
and
$\displaystyle I^{\frac{1}{2}}(\widetilde{\theta}-\theta)\approx N(0,1) $
I is fisher information, $\displaystyle \widetilde{\theta} $ is mle
how to prove these two arguments
$\displaystyle I^{-\frac{1}{2}} U \approx N(0,1) $
and
$\displaystyle I^{\frac{1}{2}}(\widetilde{\theta}-\theta)\approx N(0,1) $
I is fisher information, $\displaystyle \widetilde{\theta} $ is mle
how to prove these two arguments