
We propose point forecast accuracy measures based directly on distance of the forecast-error c.d.f. from the unit step function at 0 ("stochastic error distance," or SED). We provide a precise characterization of the relationship between SED and standard predictive loss functions, showing that all such loss functions can be written as weighted SED's. The leading case is absolute-error loss, in which the SED weights are unity, establishing its primacy. Among other things, this suggests shifting attention away from conditional-mean forecasts and toward conditional-median forecasts.
Forecast accuracy, forecast evaluation, absolute-error loss, quadratic loss, squared-error loss, jel: jel:C53
Forecast accuracy, forecast evaluation, absolute-error loss, quadratic loss, squared-error loss, jel: jel:C53
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