Asymptotic normality of a maximum likelihood estimator (source code)

= Asymptotic normality of a maximum likelihood estimator

In a regular $p$-parameter model with one-observation Fisher information $I(\theta_0)$,
$$
\sqrt n(\widehat\theta_n-\theta_0)
\xrightarrow d N_p(0,I(\theta_0)^{-1}).
$$