# Rank Biased Precision - RBP gives the expected utility at stopping. - Based on the assumption that user moves from top to bottom of the search result until relevant item is found and stops. - $\theta$ is the probability of viewing the next item and $1 - \theta$ is the probability of stopping. $ \mathrm{RBP}=\sum_{r=1}^{\infty} \operatorname{rel}_{r} \theta^{r-1}(1-\theta) $ --- ## References