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Scaling of scoring rules

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Virtualconference
Authors : Wallin, Jonas (Author of the conference)
CIRM (Publisher )

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Abstract : Averages of proper scoring rules are often used to rank probabilistic forecasts. In many cases, the individual observations and their predictive distributions in these averages have variable scale (variance). I will show that some of the most popular proper scoring rules, such as the continuous ranked probability score (CRPS), up-weight observations with large uncertainty which can lead to unintuitive rankings. We have developed a new scoring rule, scaled CRPS (SCRPS), this new proper scoring rule is locally scale invariant and therefore works in the case of varying uncertainty.
I will demonstrate this how this affects model selection through parameter estimation in spatial statitics.

Keywords : Proper soring rules; model selection; prediction

MSC Codes :
60G25 - Prediction theory, See also {62M20}
62C25 - Compound decision problems
62M30 - Statistics of spatial processes

Additional resources :
https://www.cirm-math.fr/RepOrga/2146/Slides/Wallin.pdf

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 15/06/2020
    Conference Date : 02/06/2020
    Subseries : Research talks
    arXiv category : Machine Learning ; Statistics Theory
    Mathematical Area(s) : Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 00:35:09
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2020-06-02_Wallin.mp4

Information on the Event

Event Title : Mathematical Methods of Modern Statistics 2 / Méthodes mathématiques en statistiques modernes 2
Event Organizers : Bogdan, Malgorzata ; Graczyk, Piotr ; Panloup, Fabien ; Proïa, Frédéric ; Roquain, Etienne
Dates : 15/06/2020 - 19/06/2020
Event Year : 2020
Event URL : https://www.cirm-math.com/cirm-virtual-e...

Citation Data

DOI : 10.24350/CIRM.V.19644103
Cite this video as: Wallin, Jonas (2020). Scaling of scoring rules. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19644103
URI : http://dx.doi.org/10.24350/CIRM.V.19644103

See Also

Bibliography

  • BOLIN, David et WALLIN, Jonas. Scale invariant proper scoring rules Scale dependence: Why the average CRPS often is inappropriate for ranking probabilistic forecasts. arXiv preprint arXiv:1912.05642, 2019. - https://arxiv.org/abs/1912.05642



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