solarforecastarbiter.metrics.deterministic.over

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

The OVER metric.

\[\text{OVER} = \int_{p_\min}^{p_\max} D_n^*(p) dp\]

where:

\[\begin{split}D_n^* = \begin{cases} (D_n - V_c) & D_n > V_c \\ D_n^* = 0 & \text{otherwise} \end{cases}\end{split}\]

with D_n and V_c defined the same as in KSI.

Parameters:
  • obs ((n,) array-like) – Observed values.
  • fx ((n,) array-like) – Forecasted values.
Returns:

over (float) – The OVER metric of the forecast.

Notes

The calculation of the empirical CDF uses a right endpoint rule (the default of the statsmodels ECDF function). For example, if the data is [1.0, 2.0], then ECDF output is 0.5 for any input less than 1.0.