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Proper scoring rules are used to assess the out-of-sample accuracy of probabilistic forecasts, with different scoring rules rewarding distinct aspects of forecast performance. Herein, we re-investigate the practice of using proper scoring…

When predicting future events, it is common to issue forecasts that are probabilistic, in the form of probability distributions over the range of possible outcomes. Such forecasts can be evaluated using proper scoring rules. Proper scoring…

统计计算 · 统计学 2023-05-15 Sam Allen

In situations where forecasters are scored on the quality of their probabilistic predictions, it is standard to use `proper' scoring rules to perform such scoring. These rules are desirable because they give forecasters no incentive to lie…

统计方法学 · 统计学 2020-08-25 Spencer Greenberg

We introduce several new estimation methods that leverage shape constraints in auction models to estimate various objects of interest, including the distribution of a bidder's valuations, the bidder's ex ante expected surplus, and the…

计量经济学 · 经济学 2019-12-17 Joris Pinkse , Karl Schurter

Survey sampling is concerned with the estimation of finite population parameters. In practice, survey data suffer from item nonresponse, which is commonly handled through imputation, i.e., replacing missing values with predicted values. As…

统计方法学 · 统计学 2026-03-06 Ziming An , Mehdi Dagdoug , David Haziza

Weighting estimators based on propensity scores are widely used for causal estimation in a variety of contexts, such as observational studies, marginal structural models and interference. They enjoy appealing theoretical properties such as…

统计方法学 · 统计学 2021-10-06 Linbo Wang , Yuexia Zhang , Thomas S. Richardson , Xiao-Hua Zhou

I introduce a model of predictive scoring. A receiver wants to predict a sender's quality. An intermediary observes multiple features of the sender and aggregates them into a score. Based on the score, the receiver makes a decision. The…

理论经济学 · 经济学 2024-05-17 Ian Ball

The quality of probabilistic forecasts is crucial for decision-making under uncertainty. While proper scoring rules incentivize truthful reporting of precise forecasts, they fall short when forecasters face epistemic uncertainty about their…

机器学习 · 计算机科学 2025-07-18 Anurag Singh , Siu Lun Chau , Krikamol Muandet

The evaluation of probabilistic forecasts plays a central role both in the interpretation and in the use of forecast systems and their development. Probabilistic scores (scoring rules) provide statistical measures to assess the quality of…

统计方法学 · 统计学 2020-12-24 Hailiang Du

Scoring rules for eliciting expert predictions of random variables are usually developed assuming that experts derive utility only from the quality of their predictions (e.g., score awarded by the rule, or payoff in a prediction market). We…

计算机科学与博弈论 · 计算机科学 2011-06-14 Craig Boutilier

Given a learning problem with real-world tradeoffs, which cost function should the model be trained to optimize? This is the metric selection problem in machine learning. Despite its practical interest, there is limited formal guidance on…

机器学习 · 统计学 2022-08-22 Gaurush Hiranandani

We discuss a new weighted likelihood method for parametric estimation. The method is motivated by the need for generating a simple estimation strategy which provides a robust solution that is simultaneously fully efficient when the model is…

统计方法学 · 统计学 2019-08-29 Suman Majumder , Adhidev Biswas , Tania Roy , Subir Kumar Bhandari , Ayanendranath Basu

What is a fair performance metric? We consider the choice of fairness metrics through the lens of metric elicitation -- a principled framework for selecting performance metrics that best reflect implicit preferences. The use of metric…

机器学习 · 统计学 2020-11-04 Gaurush Hiranandani , Harikrishna Narasimhan , Oluwasanmi Koyejo

Strictly proper scoring rules (SPSR) are incentive compatible for eliciting information about random variables from strategic agents when the principal can reward agents after the realization of the random variables. They also quantify the…

计算机科学与博弈论 · 计算机科学 2020-06-09 Yang Liu , Juntao Wang , Yiling Chen

Proper scoring rules are methods for encouraging honest assessment of probability distributions. Just like likelihood, a proper scoring rule can be applied to supply an unbiased estimating equation for any statistical model, and the theory…

统计理论 · 数学 2020-04-28 Philip Dawid , Monica Musio , Laura Ventura

Assessing the fairness of a decision making system with respect to a protected class, such as gender or race, is challenging when class membership labels are unavailable. Probabilistic models for predicting the protected class based on…

应用统计 · 统计学 2018-11-28 Jiahao Chen , Nathan Kallus , Xiaojie Mao , Geoffry Svacha , Madeleine Udell

We study fairness in decision-making when the data may encode systematic bias. Existing approaches typically impose fairness constraints while predicting the observed decision, which may itself be unfair. We propose a novel framework for…

统计方法学 · 统计学 2026-03-31 Ping Zhang , Naiwen Ying , Wang Miao

Every prediction is ultimately used in a downstream task. Consequently, evaluating prediction quality is more meaningful when considered in the context of its downstream use. Metrics based solely on predictive performance often diverge from…

机器学习 · 计算机科学 2025-08-26 Novin Shahroudi , Viacheslav Komisarenko , Meelis Kull

Given a binary prediction problem, which performance metric should the classifier optimize? We address this question by formalizing the problem of Metric Elicitation. The goal of metric elicitation is to discover the performance metric of a…

机器学习 · 统计学 2019-01-21 Gaurush Hiranandani , Shant Boodaghians , Ruta Mehta , Oluwasanmi Koyejo

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…

统计理论 · 数学 2026-05-12 Kartik Waghmare , Johanna Ziegel
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