Metrics
Brier Skill Score
CRPSS
Reliability plot
Relative Economic Value
Relative Mean Error
Relative Operating Characteristic score
References
References
Verification software
Miscellaneous
LateX users
Metrics
Brier Skill Score
CRPSS
Reliability plot
Relative Economic Value
Relative Mean Error
Relative Operating Characteristic score
References
References
Verification software
Miscellaneous
LateX users
The Relative Mean Error (RME, sometimes called relative bias) measures the average difference between a set of forecasts and corresponding observations, relative to the mean of the latter,
\begin{equation} \textrm{RME} = \dfrac{\sum_{j=1}^{J} \left( \bar{S}_j - q_j \right)}{\sum_{j=1}^{J} q_j} \textrm{,} \end{equation}
where $q$ is the observation and $\bar{Q}$ is the mean of the ensemble forecast. The RME thus provides a measure of relative, first-order bias in the forecasts. RME may be positive, zero, or negative. Insofar as the mean of the ensemble forecast should match the observed value, a positive RME denotes overforecasting and a negative RME denotes underforecasting. Zero RME denotes the absence of relative bias in the mean of the ensemble forecast.