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Bayesian methods are increasingly applied in these days in the theory and practice of statistics. Any Bayesian inference depends on a likelihood and a prior. Ideally one would like to elicit a prior from related sources of information or…

Methodology · Statistics 2011-08-11 Malay Ghosh

We study approximation in the unit interval by rational numbers whose numerators are selected randomly with certain probabilities. Previous work showed that an analogue of Khintchine's Theorem holds in a similar random model and raised the…

Number Theory · Mathematics 2019-09-17 Laima Kaziulytė , Felipe A. Ramírez

We introduce Fisher consistency in the sense of unbiasedness as a desirable property for estimators of class prior probabilities. Lack of Fisher consistency could be used as a criterion to dismiss estimators that are unlikely to deliver…

Machine Learning · Statistics 2019-07-23 Dirk Tasche

Between Bayesian and frequentist inference, it's commonly believed that the former is for cases where one has a prior and the latter is for cases where one has no prior. But the prior/no-prior classification isn't exhaustive, and most…

Statistics Theory · Mathematics 2022-11-29 Ryan Martin

The paper addresses general aspects of experimental data analysis, dealing with the separation of ``signal vs. background''. It consists of two parts. Part I is a tutorial on statistical event classification, Bayesian inference, and test…

Data Analysis, Statistics and Probability · Physics 2023-06-30 Rudolf Frühwirth , Winfried Mitaroff

This paper studies the problem of online parameter estimation for cyber-physical systems with binary outputs that may be subject to adversarial data tampering. Existing methods are primarily offline and unsuitable for real-time learning. To…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Jian Guo , Lihong Pei , Wenchao Xue , Yanlong Zhao , Ji-Feng Zhang

In the 1990s, Joshua Angrist and Guido Imbens studied the causal interpretation of Instrumental Variable estimates (a widespread methodology in economics) through the lens of potential outcomes (a classical framework to formalize causality…

Econometrics · Economics 2024-02-21 Lucas Girard , Yannick Guyonvarch

In an optimal nonbipartite match, a single population is divided into matched pairs to minimize a total distance within matched pairs. Nonbipartite matching has been used to strengthen instrumental variables in observational studies of…

Applications · Statistics 2013-04-16 José R. Zubizarreta , Dylan S. Small , Neera K. Goyal , Scott Lorch , Paul R. Rosenbaum

Algorithmic fairness has become an important machine learning problem, especially for mission-critical Web applications. This work presents a self-supervised model, called DualFair, that can debias sensitive attributes like gender and race…

Machine Learning · Computer Science 2023-03-16 Sungwon Han , Seungeon Lee , Fangzhao Wu , Sundong Kim , Chuhan Wu , Xiting Wang , Xing Xie , Meeyoung Cha

Most works on gender bias focus on intrinsic bias -- removing traces of information about a protected group from the model's internal representation. However, these works are often disconnected from the impact of such debiasing on…

Computation and Language · Computer Science 2024-06-04 Bar Iluz , Yanai Elazar , Asaf Yehudai , Gabriel Stanovsky

We introduce a double/debiased machine learning estimator for the impulse response function in settings where a time series of interest is subjected to multiple discrete treatments, assigned over time, which can have a causal effect on…

Econometrics · Economics 2025-12-17 Daniele Ballinari , Alexander Wehrli

Biases in culture, gender, ethnicity, etc. have existed for decades and have affected many areas of human social interaction. These biases have been shown to impact machine learning (ML) models, and for natural language processing (NLP),…

Computation and Language · Computer Science 2022-09-21 Dhanasekar Sundararaman , Vivek Subramanian

With nonignorable nonresponse, an effective method to construct valid estimators of population parameters is to use a covariate vector called instrument that can be excluded from the nonresponse propensity but are still useful covariate…

Methodology · Statistics 2025-09-17 Ji Chen , Jun Shao

Recovering and distinguishing between the strict-preference, indifference and/or indecisiveness parts of a decision maker's preferences is a challenging task but also important for testing theory and conducting welfare analysis. This paper…

Theoretical Economics · Economics 2025-09-15 Georgios Gerasimou

This paper considers the problem of inference after ranking. In our setting, we are interested in any population whose rank according to some random quantity, such as an estimated treatment effect, a measure of value-added, or benefit (net…

Econometrics · Economics 2026-01-06 Andreas Petrou-Zeniou , Azeem M. Shaikh

The method of multivariable Mendelian randomization uses genetic variants to instrument multiple exposures, to estimate the effect that a given exposure has on an outcome conditional on all other exposures included in a linear model.…

Methodology · Statistics 2024-08-20 Ashish Patel , James Lane , Stephen Burgess

Gender-bias stereotypes have recently raised significant ethical concerns in natural language processing. However, progress in detection and evaluation of gender bias in natural language understanding through inference is limited and…

Computation and Language · Computer Science 2021-05-13 Shanya Sharma , Manan Dey , Koustuv Sinha

Experimental and observational studies often lead to spurious association between the outcome and independent variables describing the intervention, because of confounding to third-party factors. Even in randomized clinical trials,…

Methodology · Statistics 2023-12-04 Orestis Loukas , Ho Ryun Chung

The increasing application of Artificial Intelligence and Machine Learning models poses potential risks of unfair behavior and, in light of recent regulations, has attracted the attention of the research community. Several researchers…

Machine Learning · Computer Science 2023-02-17 Giandomenico Cornacchia , Vito Walter Anelli , Fedelucio Narducci , Azzurra Ragone , Eugenio Di Sciascio

When data is collected in an adaptive manner, even simple methods like ordinary least squares can exhibit non-normal asymptotic behavior. As an undesirable consequence, hypothesis tests and confidence intervals based on asymptotic normality…

Statistics Theory · Mathematics 2023-03-23 Koulik Khamaru , Yash Deshpande , Tor Lattimore , Lester Mackey , Martin J. Wainwright
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