If I can prove that for an estimator $\hat{k}( \theta)$ I can write: $$\frac{\partial l(X_1, \dots , X_n)}{\partial \theta} = a(n, \theta)(\hat{k}( \theta) - k(\theta))$$
Am i sure that the estimator is unbiased? and consistent?
NB:
- $l$: is the log likelihood
- $X_1$ is generated from a regular model