solarforecastarbiter.metrics.deterministic.centered_root_mean_square

solarforecastarbiter.metrics.deterministic.centered_root_mean_square(obs, fx)[source]

Centered (unbiased) root mean square error (CRMSE):

\[\text{CRMSE} = \sqrt{1/n \sum_{i=1}^n ( (\text{fx}_i - \text{fx}_\text{avg}) - (\text{obs}_i - \text{obs}_\text{avg}))^2 }\]

where:

\[\text{fx}_\text{avg} = 1/n \sum_{i=1} \text{fx}_i\]
\[\text{obs}_\text{avg} = 1/n \sum_{i=1} \text{obs}_i\]
Parameters:
  • obs ((n,) array-like) – Observed values.
  • fx ((n,) array-like) – Forecasted values.
Returns:

crmse (float) – The CRMSE of the forecast.