Suppose we have a sample $X_1, ..., X_n$ from a distribution with density $f(x|\theta)$. The Fisher information $I(\theta)$ is defined as $E[(\frac{\partial}{\partial \theta} \ln f(X|\theta))^2]$. If the model is misspecified, the 'Godambe information' is used. What is the standard structure of the Godambe information $G(\theta)$?