Risk of a decision rule
= Risk of a decision rule
For a model $\{P_\theta:\theta\in\Theta\}$, loss $L$, and decision rule $\delta$, the risk is
$$
R(\theta,\delta)=\mathbb E_\theta L(\delta(X),\theta).
$$
= Risk of a decision rule
For a model $\{P_\theta:\theta\in\Theta\}$, loss $L$, and decision rule $\delta$, the risk is
$$
R(\theta,\delta)=\mathbb E_\theta L(\delta(X),\theta).
$$