Proper scoring rules for estimation and forecast evaluation

Fuente: arXiv
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Autori principali: Waghmare, Kartik, Ziegel, Johanna
Natura: Preprint
Pubblicazione: 2025
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author Waghmare, Kartik
Ziegel, Johanna
author_facet Waghmare, Kartik
Ziegel, Johanna
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_01781
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Proper scoring rules for estimation and forecast evaluation
Waghmare, Kartik
Ziegel, Johanna
Statistics Theory
Machine Learning
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.
title Proper scoring rules for estimation and forecast evaluation
topic Statistics Theory
Machine Learning
url https://arxiv.org/abs/2504.01781