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This paper investigates how certain relationship between observed and counterfactual distributions serves as an identifying condition for treatment effects when the treatment is endogenous, and shows that this condition holds in a range of…

Econometrics · Economics 2023-11-28 Sukjin Han , Haiqing Xu

Quantile regression is a fundamental problem in statistical learning motivated by a need to quantify uncertainty in predictions, or to model a diverse population without being overly reductive. For instance, epidemiological forecasts, cost…

Machine Learning · Statistics 2023-04-18 Rasool Fakoor , Taesup Kim , Jonas Mueller , Alexander J. Smola , Ryan J. Tibshirani

In multi-site randomized trials with many sites and few randomization units per site, an Empirical-Bayes estimator can be used to estimate the variance of the treatment effect across sites. When this estimator indicates that treatment…

Econometrics · Economics 2024-12-12 Clément de Chaisemartin , Antoine Deeb

Quantile regression is a tool for learning conditional distributions. In this paper we study quantile regression in the setting where a protected attribute is unavailable when fitting the model. This can lead to "unfair'' quantile…

Statistics Theory · Mathematics 2019-07-23 Dana Yang , John Lafferty , David Pollard

In this work we propose a novel approach for modeling spatio-temporal data characterized by group structures. In particular, we extend classical mixed effect regression models by introducing a space-time nonparametric component, regularized…

Methodology · Statistics 2025-11-18 Marco F. De Sanctis , Eleonora Arnone , Francesca Ieva , Laura M. Sangalli

Linear quantile regression models aim at providing a detailed and robust picture of the (conditional) response distribution as function of a set of observed covariates. Longitudinal data represent an interesting field of application of such…

Methodology · Statistics 2015-07-30 Maria Francesca Marino , Nikos Tzavidis , Marco Alfo'

We study linear peer effects models where peers interact in groups, individual's outcomes are linear in the group mean outcome and characteristics, and group effects are random. Our specification is motivated by the moment conditions…

Econometrics · Economics 2022-04-27 Guido M. Kuersteiner , Ingmar R. Prucha , Ying Zeng

In this study, we develop a novel estimation method for quantile treatment effects (QTE) under rank invariance and rank stationarity assumptions. Ishihara (2020) explores identification of the nonseparable panel data model under these…

Methodology · Statistics 2021-11-18 Takuya Ishihara

It is well known that quantile regression model minimizes the portfolio extreme risk, whenever the attention is placed on the estimation of the response variable left quantiles. We show that, by considering the entire conditional…

Portfolio Management · Quantitative Finance 2015-07-02 Giovanni Bonaccolto , Massimiliano Caporin , Sandra Paterlini

Researchers are increasingly turning to machine learning (ML) algorithms to investigate causal heterogeneity in randomized experiments. Despite their promise, ML algorithms may fail to accurately ascertain heterogeneous treatment effects…

Methodology · Statistics 2024-04-23 Kosuke Imai , Michael Lingzhi Li

This paper proposes a linear categorical random coefficient model, in which the random coefficients follow parametric categorical distributions. The distributional parameters are identified based on a linear recurrence structure of moments…

Econometrics · Economics 2023-03-01 Zhan Gao , M. Hashem Pesaran

Flexible estimation of multiple conditional quantiles is of interest in numerous applications, such as studying the effect of pregnancy-related factors on low and high birth weight. We propose a Bayesian non-parametric method to…

Methodology · Statistics 2021-10-22 Steven G. Xu , Brian J. Reich

Recently, there has been great interest in estimating the conditional average treatment effect using flexible machine learning methods. However, in practice, investigators often have working hypotheses about effect heterogeneity across…

Methodology · Statistics 2023-09-13 Chan Park , Hyunseung Kang

Recent approaches in causal inference have proposed estimating average causal effects that are local to some subpopulation, often for reasons of efficiency. These inferential targets are sometimes data-adaptive, in that they are dependent…

Statistics Theory · Mathematics 2016-02-08 Peter M. Aronow

We consider a sparse high-dimensional varying coefficients model with random effects, a flexible linear model allowing covariates and coefficients to have a functional dependence with time. For each individual, we observe discretely sampled…

Statistics Theory · Mathematics 2021-10-14 Michael Law , Ya'acov Ritov

As a competitive alternative to least squares regression, quantile regression is popular in analyzing heterogenous data. For quantile regression model specified for one single quantile level $\tau$, major difficulties of semiparametric…

Methodology · Statistics 2017-05-29 Kani Chen , Yuanyuan Lin , Zhanfeng Wang , Zhiliang Ying

The use of the Canonical Regression Quantiles Index proved that non-controlled companies that engage in long-term operational and financial goals post superior future performance. The Index indicates that current CEO compensation influences…

Statistical Finance · Quantitative Finance 2021-01-08 Joseph Haimberg , Stephen Portnoy

We develop a general model of discrete choice that incorporates peer effects in preferences and consideration sets. We characterize the equilibrium behavior and establish conditions under which all parts of the model can be recovered from a…

General Economics · Economics 2026-02-05 Nail Kashaev , Natalia Lazzati , Ruli Xiao

Qualitative interactions occur when a treatment effect or measure of association varies in sign by sub-population. Of particular interest in many biomedical settings are absence/presence qualitative interactions, which occur when an effect…

Methodology · Statistics 2020-10-20 Aaron Hudson , Ali Shojaie

Random-effects meta-analyses are widely used for evidence synthesis in medical research. However, conventional methods based on large-sample approximations often exhibit poor performance in case of very few studies (e.g., 2 to 4), which is…

Methodology · Statistics 2025-11-20 Ao Huang , Christian Röver , Tim Friede