Score test under a simple null
= Score test under a simple null
Under a regular simple $p$-parameter null, the normalized score converges to $N_p(0,I_1)$, so its information-standardized squared norm converges to $\chi_p^2$.
= Score test under a simple null
Under a regular simple $p$-parameter null, the normalized score converges to $N_p(0,I_1)$, so its information-standardized squared norm converges to $\chi_p^2$.