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With the increasing availability of datasets, developing data fusion methods to leverage the strengths of different datasets to draw causal effects is of great practical importance to many scientific fields. In this paper, we consider…

Methodology · Statistics 2023-07-18 Yijiao Zhang , Zhongyi Zhu

This paper studies inference in predictive quantile regressions when the predictive regressor has a near-unit root. We derive asymptotic distributions for the quantile regression estimator and its heteroskedasticity and autocorrelation…

Econometrics · Economics 2024-05-07 Alex Maynard , Katsumi Shimotsu , Nina Kuriyama

This paper studies the problem of efficient estimation of panel data models in the presence of an increasing number of incidental parameters. We formulate the dynamic panel as a simultaneous equations system, and derive the efficiency bound…

Econometrics · Economics 2025-06-13 Jushan Bai

We study linear quantile regression models when regressors and/or dependent variable are not directly observed but estimated in an initial first step and used in the second step quantile regression for estimating the quantile parameters.…

Econometrics · Economics 2020-12-29 Jayeeta Bhattacharya

A novel approach to quantile estimation in multivariate linear regression models with change-points is proposed: the change-point detection and the model estimation are both performed automatically, by adopting either the quantile fused…

Statistics Theory · Mathematics 2019-04-10 Gabriela Ciuperca , Matus Maciak

This paper introduces a novel and scalable framework for uncertainty estimation and separation with applications in data driven modeling in science and engineering tasks where reliable uncertainty quantification is critical. Leveraging an…

Machine Learning · Computer Science 2024-12-19 Navid Ansari , Hans-Peter Seidel , Vahid Babaei

We propose a new estimator for heterogeneous treatment effects in a partially linear model (PLM) with multiple exogenous covariates and a potentially endogenous treatment variable. Our approach integrates a Robinson transformation to handle…

Econometrics · Economics 2024-10-04 Xiaolin Sun

We provide a simple distribution regression estimator for treatment effects in the difference-in-differences (DiD) design. Our procedure is particularly useful when the treatment effect differs across the distribution of the outcome…

Econometrics · Economics 2026-05-20 Iván Fernández-Val , Jonas Meier , Aico van Vuuren , Francis Vella

Quantile regression is used to study effects of covariates on a particular quantile of the data distribution. Here we are interested in the question whether a covariate has any effect on the entire data distribution, i.e., on any of the…

Methodology · Statistics 2026-01-23 Tomáš Mrkvička , Konstantinos Konstantinou , Mikko Kuronen , Mari Myllymäki

When using the propensity score method to estimate the treatment effects, it is important to select the covariates to be included in the propensity score model. The inclusion of covariates unrelated to the outcome in the propensity score…

Methodology · Statistics 2024-02-29 Takehiro Shoji , Jun Tsuchida , Hiroshi Yadohisa

Understanding treatment effect heterogeneity has become increasingly important in many fields. In this paper we study distributions and quantiles of individual treatment effects to provide a more comprehensive and robust understanding of…

Methodology · Statistics 2026-03-31 Zhe Chen , Xinran Li

It is known that the estimating equations for quantile regression (QR) can be solved using an EM algorithm in which the M-step is computed via weighted least squares, with weights computed at the E-step as the expectation of independent…

Methodology · Statistics 2021-08-26 Haim Bar , James Booth , Martin T. Wells

The Exponentially Weighted Average (EWA) of observations is known to be state-of-art estimator for tracking expectations of dynamically varying data stream distributions. However, how to devise an EWA estimator to rather track quantiles of…

Methodology · Statistics 2019-01-16 Hugo Lewi Hammer , Anis Yazidi , Håvard Rue

This paper proposes a novel method to estimate large panel data error-correction models with stationary/non-stationary covariates and spatially dependent errors, which allows for known/unknown group-specific patterns of slope heterogeneity.…

Applications · Statistics 2017-09-12 Ba Chu

Data imputation is a critical step in data pre-processing, particularly for datasets with missing or unreliable values. This study introduces a novel quantum-inspired imputation framework evaluated on the UCI Diabetes dataset, which…

Quantum Physics · Physics 2025-05-13 Nishikanta Mohanty , Bikash K. Behera , Badshah Mukherjee , Christopher Ferrie

Count data frequently arises in biomedical applications, such as the length of hospital stay. However, their discrete nature poses significant challenges for appropriately modeling conditional quantiles, which are crucial for understanding…

Methodology · Statistics 2025-07-28 Yuta Yamauchi , Genya Kobayashi , Shonosuke Sugasawa

Many popular estimation methods in panel data rely on the assumption that the covariates of interest are strictly exogenous. However, this assumption is empirically restrictive in a wide range of settings. In this paper I argue that…

Econometrics · Economics 2025-12-22 Stephane Bonhomme

Quantile regression provides a framework for modeling statistical quantities of interest other than the conditional mean. The regression methodology is well developed for linear models, but less so for nonparametric models. We consider…

Statistics Theory · Mathematics 2009-09-29 Mi-Ok Kim

We propose a M-quantile regression model for the analysis of multivariate, continuous, longitudinal data. M-quantile regression represents an appealing alternative to standard regression models, as it combines the robustness of quantile and…

Panel data methods are widely used in empirical analysis to address unobserved heterogeneity, but causal inference remains challenging when treatments are endogenous and confounding variables high-dimensional and potentially nonlinear.…

Econometrics · Economics 2026-03-24 Anna Baiardi , Paul S. Clarke , Andrea A. Naghi , Annalivia Polselli
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