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Proceedings of the American Mathematical Society Series B

Published by the American Mathematical Society since 2014, this gold open access, electronic-only journal is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 2330-1511

The 2020 MCQ for Proceedings of the American Mathematical Society Series B is 0.95.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A construction principle for proper scoring rules
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by Jonas R. Brehmer HTML | PDF
Proc. Amer. Math. Soc. Ser. B 8 (2021), 297-301

Abstract:

Proper scoring rules enable decision-theoretically principled comparisons of probabilistic forecasts. New scoring rules can be constructed by identifying the predictive distribution with an element of a parametric family and then applying a known scoring rule. We introduce a condition which ensures propriety in this construction and thereby obtain novel proper scoring rules.
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Additional Information
  • Jonas R. Brehmer
  • Affiliation: Computational Statistics Group, Heidelberg Institute for Theoretical Studies, Schloss-Wolfsbrunnenweg 35, 69118 Heidelberg, Germany
  • MR Author ID: 1343940
  • Email: Jonas.Brehmer@h-its.org
  • Received by editor(s): February 25, 2021
  • Received by editor(s) in revised form: May 17, 2021, and July 23, 2021
  • Published electronically: October 12, 2021
  • Communicated by: Qi-Man Shao
  • © Copyright 2021 by the author under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
  • Journal: Proc. Amer. Math. Soc. Ser. B 8 (2021), 297-301
  • MSC (2020): Primary 62C99
  • DOI: https://doi.org/10.1090/bproc/98
  • MathSciNet review: 4323520