Given a Weibull model:
$\Pi_{i=1}^{n} \lambda \kappa (\lambda y_i)^{\kappa -1} \exp\{-(\lambda y_i ) ^\kappa \}$
How to find the score function of $(\kappa,\lambda)$
Does this mean we take the derivative of the log likelihood with respect to $\kappa$ then take the derivative of that result with respect to $\lambda$?
Or do we create a 2x1 vector where the top is derivative of the log likelihood with respect to $\kappa$ and the bottom is the derivative with respect to $\lambda$