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Titel |
Evaluation of probabilistic forecasts with the scoringRules package |
VerfasserIn |
Alexander Jordan, Fabian Krüger, Sebastian Lerch |
Konferenz |
EGU General Assembly 2017
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Medientyp |
Artikel
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Sprache |
en
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Digitales Dokument |
PDF |
Erschienen |
In: GRA - Volume 19 (2017) |
Datensatznummer |
250139971
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Publikation (Nr.) |
EGU/EGU2017-3295.pdf |
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Zusammenfassung |
Over the last decades probabilistic forecasts in the form of predictive distributions have
become popular in many scientific disciplines. With the proliferation of probabilistic models
arises the need for decision-theoretically principled tools to evaluate the appropriateness of
models and forecasts in a generalized way in order to better understand sources of prediction
errors and to improve the models.
Proper scoring rules are functions S(F,y) which evaluate the accuracy of a forecast
distribution F , given that an outcome y was observed. In coherence with decision-theoretical
principles they allow to compare alternative models, a crucial ability given the
variety of theories, data sources and statistical specifications that is available in many
situations.
This contribution presents the software package scoringRules for the statistical
programming language R, which provides functions to compute popular scoring rules such as
the continuous ranked probability score for a variety of distributions F that come up in
applied work. For univariate variables, two main classes are parametric distributions like
normal, t, or gamma distributions, and distributions that are not known analytically, but are
indirectly described through a sample of simulation draws. For example, ensemble weather
forecasts take this form.
The scoringRules package aims to be a convenient dictionary-like reference for
computing scoring rules. We offer state of the art implementations of several known (but not
routinely applied) formulas, and implement closed-form expressions that were previously
unavailable. Whenever more than one implementation variant exists, we offer statistically
principled default choices. Recent developments include the addition of scoring rules to
evaluate multivariate forecast distributions. The use of the scoringRules package is
illustrated in an example on post-processing ensemble forecasts of temperature. |
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