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This paper studies a semiparametric quantile regression model with endogenous variables and random right censoring. The endogeneity issue is solved using instrumental variables. It is assumed that the structural quantile of the logarithm of…

Econometrics · Economics 2023-02-03 Jad Beyhum , Lorenzo Tedesco , Ingrid Van Keilegom

In recommender systems, a common problem is the presence of various biases in the collected data, which deteriorates the generalization ability of the recommendation models and leads to inaccurate predictions. Doubly robust (DR) learning…

Information Retrieval · Computer Science 2022-12-20 Haoxuan Li , Quanyu Dai , Yuru Li , Yan Lyu , Zhenhua Dong , Xiao-Hua Zhou , Peng Wu

In this study, we investigate estimation and inference on a low-dimensional causal parameter in the presence of high-dimensional controls in an instrumental variable quantile regression. Our proposed econometric procedure builds on the…

Econometrics · Economics 2021-02-23 Jau-er Chen , Chien-Hsun Huang , Jia-Jyun Tien

Many problems in signal processing require finding sparse solutions to under-determined, or ill-conditioned, linear systems of equations. When dealing with real-world data, the presence of outliers and impulsive noise must also be accounted…

Statistics Theory · Mathematics 2017-05-08 Jasin Machkour , Michael Muma , Bastian Alt , Abdelhak M. Zoubir

We derive mean-unbiased estimators for the structural parameter in instrumental variables models with a single endogenous regressor where the sign of one or more first stage coefficients is known. In the case with a single instrument, there…

Applications · Statistics 2016-12-05 Isaiah Andrews , Timothy B. Armstrong

Penalized likelihood models are widely used to simultaneously select variables and estimate model parameters. However, the existence of weak signals can lead to inaccurate variable selection, biased parameter estimation, and invalid…

Methodology · Statistics 2022-12-13 Yuexia Zhang , Peibei Shi , Zhongyi Zhu , Linbo Wang , Annie Qu

Traditional instrumental variable (IV) estimators face a fundamental constraint: they can only accommodate as many endogenous treatment variables as available instruments. This limitation becomes particularly challenging in settings where…

Machine Learning · Computer Science 2025-06-25 Shiangyi Lin , Hui Lan , Vasilis Syrgkanis

The present manuscript is concerned with component-wise estimation of the positive power of ordered restricted standard deviation of two normal populations with certain restrictions on the means. We propose several improved estimators under…

Statistics Theory · Mathematics 2025-08-26 Somnath Mondal , Lakshmi Kanta Patra

Mendelian Randomization (MR) is a prominent observational epidemiological research method designed to address unobserved confounding when estimating causal effects. However, core assumptions -- particularly the independence between…

Machine Learning · Computer Science 2026-02-24 Shimeng Huang , Matthew Robinson , Francesco Locatello

In this paper we build a joint model which can accommodate for binary, ordinal and continuous responses, by assuming that the errors of the continuous variables and the errors underlying the ordinal and binary outcomes follow a multivariate…

Methodology · Statistics 2024-11-06 Laura Vana-Gür , Rainer Hirk

When multiple measures are collected repeatedly over time, redundancy typically exists among responses. The envelope method was recently proposed to reduce the dimension of responses without loss of information in regression with…

Methodology · Statistics 2021-03-25 Yuyang Shi , Linquan Ma , Lan Liu

Composite endpoints that combine multiple outcomes on different scales are common in clinical trials, particularly in chronic conditions. In many of these cases, patients will have to cross a predefined responder threshold in each of the…

Methodology · Statistics 2019-02-20 Martina McMenamin , Jessica K. Barrett , Anna Berglind , James M. S. Wason

Models with a discrete endogenous variable are typically underidentified when the instrument takes on too few values. This paper presents a new method that matches pairs of covariates and instruments to restore point identification in this…

Econometrics · Economics 2020-07-28 Junlong Feng

This paper introduces a new class of robust estimates for ARMA models. They are M-estimates, but the residuals are computed so the effect of one outlier is limited to the period where it occurs. These estimates are closely related to those…

Statistics Theory · Mathematics 2009-04-02 Nora Muler , Daniel Peña , Víctor J. Yohai

We discuss the fundamental issue of identification in linear instrumental variable (IV) models with unknown IV validity. With the assumption of the "sparsest rule", which is equivalent to the plurality rule but becomes operational in…

Methodology · Statistics 2023-12-06 Yiqi Lin , Frank Windmeijer , Xinyuan Song , Qingliang Fan

Given a binary treatment D and a binary mediator M, mediation analysis decomposes the total effect of D on an outcome Y into the direct and indirect effects. Typically, both D and M are assumed to be exogenous, but this paper allows M to be…

Methodology · Statistics 2025-12-09 Bora Kim , Myoung-jae Lee

We study counterfactual classification as a new tool for decision-making under hypothetical (contrary to fact) scenarios. We propose a doubly-robust nonparametric estimator for a general counterfactual classifier, where we can incorporate…

Machine Learning · Computer Science 2023-01-31 Kwangho Kim , Edward H. Kennedy , José R. Zubizarreta

In this paper we propose a multivariate ordinal regression model which allows the joint modeling of three-dimensional panel data containing both repeated and multiple measurements for a collection of subjects. This is achieved by a…

Methodology · Statistics 2024-02-02 Laura Vana-Gür

The doubly robust estimator, which models both the propensity score and outcomes, is a popular approach to estimate the average treatment effect in the potential outcome setting. The primary appeal of this estimator is its theoretical…

Methodology · Statistics 2024-09-11 Kaoru Babasaki , Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn

Multiple binary responses arise in many modern data-analytic problems. Although fitting separate logistic regressions for each response is computationally attractive, it ignores shared structure and can be statistically inefficient,…

Machine Learning · Statistics 2026-01-14 The Tien Mai