Equation 12.25.7EFE1F66045F4

\begin{equation} R_ i(\theta )= \begin{cases} m_ i,& \text{if }H_ i\text{ occurs},\\ r_ i,& \text{if }H_ i\text{ does not occur and }Q_ i\text{ occurs},\\ 0,& \text{if neither occurs}, \end{cases} \qquad R(\theta )=\sum _ i R_ i(\theta ). \end{equation}