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math.ST updates on arXiv.org

What is Learnable in Valiant's Theory of the Learnable? 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Proper scoring rules for estimation and forecast evaluation
Kartik Waghmare, Johanna Ziegel · 2025-04-02 · via math.ST updates on arXiv.org

Proper scoring rules have been a subject of growing interest in recent years, not only as tools for evaluation of probabilistic forecasts but also as methods for estimating probability distributions. In this article, we review the mathematical foundations of proper scoring rules including general characterization results and important families of scoring rules. We discuss their role in statistics and machine learning for estimation and forecast evaluation. Furthermore, we comment on interesting developments of their usage in applications.

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