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Parameter estimates in misspecified models converge to pseudo-true parameter values, which minimize a population objective function. Pseudo-true values often differ from quantities of economic interest, raising questions of how, if at all,…

Econometrics · Economics 2026-04-20 Isaiah Andrews , Harvey Barnhard , Jacob Carlson

Selection bias is a serious potential problem for inference about relationships of scientific interest based on samples without well-defined probability sampling mechanisms. Motivated by the potential for selection bias in (a) estimated…

We consider the problem of assessing whether, in an individual case, there is a causal relationship between an observed exposure and a response variable. When data are available on similar individuals we may be able to estimate prospective…

Statistics Theory · Mathematics 2023-11-15 Monica Musio , Philip Dawid

Data-driven algorithms play a large role in decision making across a variety of industries. Increasingly, these algorithms are being used to make decisions that have significant ramifications for people's social and economic well-being,…

Machine Learning · Computer Science 2018-09-26 J. Henry Hinnefeld , Peter Cooman , Nat Mammo , Rupert Deese

Despite extensive theoretical research on proportionality in approval-based multiwinner voting, its impact on which committees and candidates can be selected in practice remains poorly understood. We address this gap by (i) analyzing the…

Computer Science and Game Theory · Computer Science 2025-11-13 Niclas Boehmer , Lara Glessen , Jannik Peters

We report an inconsistency found in probability theory (also referred to as measure-theoretic probability). For probability measures induced by real-valued random variables, we deduce an "equality" such that one side of the "equality" is a…

General Mathematics · Mathematics 2017-03-01 Guang-Liang Li , Victor O. K. Li

Algorithms are now routinely used to make consequential decisions that affect human lives. Examples include college admissions, medical interventions or law enforcement. While algorithms empower us to harness all information hidden in vast…

Machine Learning · Computer Science 2020-12-10 Bahar Taskesen , Jose Blanchet , Daniel Kuhn , Viet Anh Nguyen

The question of quantifying the sharpness (or unsharpness) of a quantum mechanical effect is investigated. Apart from sharpness, another property, bias, is found to be relevant for the joint measurability or coexistence of two effects.…

Mathematical Physics · Physics 2010-04-20 Paul Busch

In this paper, we analyze the behavior of the multivariate symmetric uncertainty (MSU) measure through the use of statistical simulation techniques under various mixes of informative and non-informative randomly generated features.…

Machine Learning · Computer Science 2023-06-29 Gustavo Sosa-Cabrera , Miguel García-Torres , Santiago Gómez , Christian Schaerer , Federico Divina

We introduce dataset multiplicity, a way to study how inaccuracies, uncertainty, and social bias in training datasets impact test-time predictions. The dataset multiplicity framework asks a counterfactual question of what the set of…

Machine Learning · Computer Science 2023-04-24 Anna P. Meyer , Aws Albarghouthi , Loris D'Antoni

Higher order correlation measurements involve multiple event averages which must run over unequal events to avoid statistical bias. We derive correction formulas for small event samples, where the bias is largest, and utilize the results to…

High Energy Physics - Experiment · Physics 2009-10-22 H. C. Eggers , P. Lipa

Uncertainty is an important and fundamental concept in physics education. Students are often first exposed to uncertainty in introductory labs, expand their knowledge across lab courses, and then are introduced to quantum mechanical…

Physics Education · Physics 2023-06-30 Andy Schang , Matthew Dew , Emily M. Stump , N. G. Holmes , Gina Passante

This methodological note investigates and discuss possible selection and collider restriction bias due to predictor availability in prognostic models.

Methodology · Statistics 2026-02-20 Marc Delord

Evaluating machine learning models is crucial not only for determining their technical accuracy but also for assessing their potential societal implications. While the potential for low-sample-size bias in algorithms is well known, we…

Machine Learning · Computer Science 2025-05-08 Jarren Briscoe , Garrett Kepler , Daryl Deford , Assefaw Gebremedhin

This paper addresses the problem of measurement errors in causal inference and highlights several algebraic and graphical methods for eliminating systematic bias induced by such errors. In particulars, the paper discusses the control of…

Methodology · Statistics 2012-03-19 Judea Pearl

Bayesian inference --- although becoming popular in physics and chemistry --- is hampered up to now by the vagueness of its notion of prior probability. Some of its supporters argue that this vagueness is the unavoidable consequence of the…

Data Analysis, Statistics and Probability · Physics 2008-02-03 O. -A. Al-Hujaj , H. L. Harney

In observational causal inference, exact covariate matching plays two statistical roles: (i) it effectively controls for bias due to measured confounding; (ii) it justifies assumption-free inference based on randomization tests. This paper…

Methodology · Statistics 2022-12-02 Kevin Guo , Dominik Rothenhäusler

Machine learning models are often used to inform real world risk assessment tasks: predicting consumer default risk, predicting whether a person suffers from a serious illness, or predicting a person's risk to appear in court. Given…

Machine Learning · Computer Science 2023-06-27 Jamelle Watson-Daniels , David C. Parkes , Berk Ustun

Randomized controlled trials (RCTs) are increasingly prevalent in education research, and are often regarded as a gold standard of causal inference. Two main virtues of randomized experiments are that they (1) do not suffer from…

In particle physics, as in many areas of science, parameter inference relies on simulations to bridge the gap between theory and experiment. Recent developments in simulation-based inference have boosted the sensitivity of analyses;…

High Energy Physics - Phenomenology · Physics 2026-04-23 Ezequiel Alvarez , Sean Benevedes , Manuel Szewc , Jesse Thaler