2001
DOI: 10.1017/s1350482701002092
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A skill score based on economic value for probability forecasts

Abstract: An approach to evaluating probability forecasts for dichotomous events, based on their economic value over all possible cost/loss ratio decision problems, is proposed. The resulting Value Score (VS) curve shows non‐dimensionalised relative economic value as a function of the cost/loss ratios for different decision‐makers, over their full meaningful range. The VS curve is similar in terms of computational mechanics and graphical display to the Relative Operating Characteristic (ROC) curve, but the ROC curve is … Show more

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Cited by 122 publications
(141 citation statements)
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“…There has been some concern, however, that these measures constituted such a simplifying reduction in dimensionality and information associated with the multifaceted nature of forecast quality that, on their own, they were insufficient in describing the forecast quality of a forecasting system (Ehrendorfer and Murphy, 1988;Murphy and Ye, 1990;Murphy, 1993;Wilks, 1995;Wilks, 2001;Hartmann et al, 2002). One of the fundamental characteristics of these measures is that they derive a categorical or single-value forecast from the forecast distribution and contrast this value with the ultimately realized single observed value.…”
Section: Introductionmentioning
confidence: 99%
“…There has been some concern, however, that these measures constituted such a simplifying reduction in dimensionality and information associated with the multifaceted nature of forecast quality that, on their own, they were insufficient in describing the forecast quality of a forecasting system (Ehrendorfer and Murphy, 1988;Murphy and Ye, 1990;Murphy, 1993;Wilks, 1995;Wilks, 2001;Hartmann et al, 2002). One of the fundamental characteristics of these measures is that they derive a categorical or single-value forecast from the forecast distribution and contrast this value with the ultimately realized single observed value.…”
Section: Introductionmentioning
confidence: 99%
“…Value scores are based on a simple cost/loss model (Wilks 2001). The value score (VS) of a forecast system can be interpreted as the expected economic value of the forecasts of interest as a fraction of the value of perfect forecasts relative to climatological forecasts, or as a percentage improvement in value between climatological and perfect information, as a function of the cost/loss ratio, for 0 < C/L < 1 (Wilks 2001 The value score was estimated using the following equations (Wilks 2001).…”
Section: Value Scorementioning
confidence: 99%
“…That is, for any given forecast probability except climatology, the outcome was closer to the climatological value. Overconfident forecasting can impart negative economic value to users of the forecasts (Wilks 2001). …”
Section: Reliabilitymentioning
confidence: 99%
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