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Prediction intervals in supervised Machine Learning bound the region where the true outputs of new samples may fall. They are necessary in the task of separating reliable predictions of a trained model from near random guesses, minimizing…

Machine Learning · Computer Science 2019-12-20 Anton Akusok , Yoan Miche , Kaj-Mikael Björk , Amaury Lendasse

We propose a method to detect model misspecifications in nonlinear causal additive and potentially heteroscedastic noise models. We aim to identify predictor variables for which we can infer the causal effect even in cases of such…

Methodology · Statistics 2024-03-28 Christoph Schultheiss , Peter Bühlmann

Fault detection is crucial to ensure the reliability of navigation systems. However, mainstream fault detection methods are developed based on Gaussian assumptions on nominal errors, while current attempts at non-Gaussian fault detection…

Signal Processing · Electrical Eng. & Systems 2026-01-01 Penggao Yan , Baoshan Song , Xiao Xia , Weisong Wen , Li-Ta Hsu

Stepped-wedge designs are increasingly used in randomized experiments to accommodate logistical and ethical constraints by staggering treatment roll-out over time. Despite their popularity, existing analytical methods largely rely on…

Methodology · Statistics 2026-02-12 Liangbo Lyu , Bingkai Wang

Testing network effects in weighted directed networks is a foundational problem in econometrics, sociology, and psychology. Yet, the prevalent edge dependency poses a significant methodological challenge. Most existing methods are…

Methodology · Statistics 2024-01-09 Wenqin Du , Yuan Zhang , Wen Zhou

We explore how violations of the often-overlooked standard assumption that the random effects model matrix in a linear mixed model is fixed (and thus independent of the random effects vector) can lead to bias in estimators of estimable…

Statistics Theory · Mathematics 2020-06-23 Andrew T. Karl , Dale L. Zimmerman

Linear regression on network-linked observations has been an essential tool in modeling the relationship between response and covariates with additional network structures. Previous methods either lack inference tools or rely on restrictive…

Methodology · Statistics 2022-08-22 Can M. Le , Tianxi Li

We study the application of the grouped fixed effects approach to binary choice models for panel data in presence of severe complete separation. Through data loss, complete separation may lead to biased estimates of Average Partial Effects…

Econometrics · Economics 2025-11-07 Claudia Pigini , Alessandro Pionati , Francesco Valentini

Randomized experiments are the gold standard for estimating treatment effects, yet network interference challenges the validity of traditional estimators by violating the stable unit treatment value assumption and introducing bias. While…

Methodology · Statistics 2024-09-02 Xin Lu , Hongzi Li , Hanzhong Liu

We consider an index model of dyadic link formation with a homophily effect index and a degree heterogeneity index. We provide nonparametric identification results in a single large network setting for the potentially nonparametric…

Econometrics · Economics 2018-05-16 Wayne Yuan Gao

Estimating causal effects under interference, where the stable unit treatment value assumption is violated, is critical in fields such as regional and public economics. Much of the existing research on causal inference under interference…

Methodology · Statistics 2026-02-03 Akihiro Sato , Shonosuke Sugasawa

Linear instrumental variable regressions are widely used to estimate causal effects. Many instruments arise from the use of ``technical'' instruments and more recently from the empirical strategy of ``judge design''. This paper surveys and…

Econometrics · Economics 2024-01-26 Anna Mikusheva , Liyang Sun

When primary objectives are insensitive or delayed, experimenters may instead focus on proxy metrics derived from secondary outcomes. For example, technology companies often infer the long-term impacts of product interventions from their…

Methodology · Statistics 2024-07-31 Aurélien Bibaut , Winston Chou , Simon Ejdemyr , Nathan Kallus

In various statistical settings, the goal is to estimate a function which is restricted by the statistical model only through a conditional moment restriction. Prominent examples include the nonparametric instrumental variable framework for…

Methodology · Statistics 2025-05-28 AmirEmad Ghassami , James M. Robins , Andrea Rotnitzky

We develop a general estimation and inference procedure for the common parameters in linear panel data regression models with nonparametric two-way specification of unobserved heterogeneity. The procedure takes as input any first-step…

Econometrics · Economics 2026-05-08 Hugo Freeman , Dennis Kristensen

Parameter estimation, which represents a classical inverse problem, is often ill-posed as different parameter combinations can yield identical outputs. This non-uniqueness poses a critical barrier to accurate and unique identification. This…

Artificial Intelligence · Computer Science 2025-10-02 Feiqin Zhu , Dmitrii Torbunov , Zhongjing Jiang , Tianqiao Zhao , Amirthagunaraj Yogarathnam , Yihui Ren , Meng Yue

Nonlinear panel data models with fixed individual effects provide an important set of tools for describing microeconometric data. In a large class of such models (including probit, proportional hazard and quantile regression to name just a…

Econometrics · Economics 2020-02-07 Antonio F. Galvao , Jiaying Gu , Stanislav Volgushev

Estimating causal effects of joint interventions on multiple variables is crucial in many domains, but obtaining data from such simultaneous interventions can be challenging. Our study explores how to learn joint interventional effects…

Machine Learning · Statistics 2025-06-06 Armin Kekić , Sergio Hernan Garrido Mejia , Bernhard Schölkopf

Causal inference has traditionally focused on interventions at the unit level. In many applications, however, the central question concerns the causal effects of connections between units, such as transportation links, social relationships,…

Methodology · Statistics 2026-01-13 Shuli Chen , Jie Hu , Zhichao Jiang

We consider the variance of a function of $n$ independent random variables and provide new inequalities which, in particular, extend previous results obtained for symmetric functions in the i.i.d.~setting. For instance, we obtain various…

Statistics Theory · Mathematics 2020-01-01 Olivier Bousquet , Christian Houdré