Multivariate Wald statistic
= Multivariate Wald statistic
For a regular $p$-parameter model, the Wald statistic for a candidate $\theta$ is
$$
W_n(\theta)
=n(\widehat\theta_n-\theta)^T
I(\widehat\theta_n)
(\widehat\theta_n-\theta).
$$
Under the true parameter it converges in distribution to $\chi_p^2$.