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There has been a surge of interest in developing robust estimators for models with heavy-tailed and bounded variance data in statistics and machine learning, while few works impose unbounded variance. This paper proposes two type of robust…

机器学习 · 统计学 2022-10-12 Lihu Xu , Fang Yao , Qiuran Yao , Huiming Zhang

The method of instrumental variables (IV) provides a framework to study causal effects in both randomized experiments with noncompliance and in observational studies where natural circumstances produce as-if random nudges to accept…

统计方法学 · 统计学 2018-02-07 Hyunseung Kang , Laura Peck , Luke Keele

The generalized least square (GLS) is one of the most basic tools in regression analyses. A major issue in implementing the GLS is estimation of the conditional variance function of the error term, which typically requires a restrictive…

计量经济学 · 经济学 2024-01-24 Yoichi Arai , Taisuke Otsu , Mengshan Xu

Two-phase sampling designs are frequently employed in epidemiological studies and large-scale health surveys. In such designs, certain variables are exclusively collected within a second-phase random subsample of the initial first-phase…

统计方法学 · 统计学 2024-03-25 Lingxiao Wang

We present a simulation-based inference approach for two-stage estimators, focusing on extremum estimators in the second stage. We accommodate a broad range of first-stage estimators, including extremum estimators, high-dimensional…

计量经济学 · 经济学 2024-11-08 Aristide Houndetoungan , Abdoul Haki Maoude

This paper develops a new specification test for the instrument weakness when the number of instruments $K_n$ is large with a magnitude comparable to the sample size $n$. The test relies on the fact that the difference between the two-stage…

计量经济学 · 经济学 2023-03-01 Zhenhong Huang , Chen Wang , Jianfeng Yao

The generalized log-gamma (GLG) model is a very flexible family of distributions to analyze datasets in many different areas of science and technology. In this paper, we propose estimators which are simultaneously highly robust and highly…

统计方法学 · 统计学 2015-12-07 Claudio Agostinelli , Isabella Locatelli , Alfio Marazzi , Victor J. Yohai

This paper contributes to the literature on treatment effects estimation with machine learning inspired methods by studying the performance of different estimators based on the Lasso. Building on recent work in the field of high-dimensional…

计量经济学 · 经济学 2018-05-15 Michael Zimmert

In this paper, we analyze the asymptotic properties of the Two-Stage (TS) estimator -- a simulation-based parameter estimation method that constructs estimators offline from synthetic data. While TS offers significant computational…

系统与控制 · 电气工程与系统科学 2025-08-26 Braghadeesh Lakshminarayanan , Cristian R. Rojas

In recent years, promising statistical modeling approaches to tensor data analysis have been rapidly developed. Traditional multivariate analysis tools, such as multivariate regression and discriminant analysis, are generalized from…

统计方法学 · 统计学 2023-06-22 Ning Wang , Xin Zhang , Qing Mai

We propose a new estimator for average causal effects of a binary treatment with panel data in settings with general treatment patterns. Our approach augments the popular two-way-fixed-effects specification with unit-specific weights that…

计量经济学 · 经济学 2024-03-06 Dmitry Arkhangelsky , Guido W. Imbens , Lihua Lei , Xiaoman Luo

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…

机器学习 · 计算机科学 2025-06-25 Shiangyi Lin , Hui Lan , Vasilis Syrgkanis

Global sensitivity analysis (GSA) of numerical simulators aims at studying the global impact of the input uncertainties on the output. To perform the GSA, statistical tools based on inputs/output dependence measures are commonly used. We…

统计理论 · 数学 2019-02-20 Anouar Meynaoui , Amandine Marrel , Béatrice Laurent

Linear relations, containing measurement errors in input and output data, are taken into account in this paper. Parameters of these so-called errors-in-variables (EIV) models can be estimated by minimizing the total least squares (TLS) of…

统计理论 · 数学 2013-06-25 Michal Pešta

Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

统计方法学 · 统计学 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

This paper considers the asymptotic theory of a semiparametric M-estimator that is generally applicable to models that satisfy a monotonicity condition in one or several parametric indexes. We call the estimator two-stage maximum score…

计量经济学 · 经济学 2022-09-16 Wayne Yuan Gao , Sheng Xu , Kan Xu

Causal inference necessarily relies upon untestable assumptions; hence, it is crucial to assess the robustness of obtained results to violations of identification assumptions. However, such sensitivity analysis is only occasionally…

统计方法学 · 统计学 2025-05-19 Tobias Freidling , Qingyuan Zhao

We often seek to estimate the impact of an exposure naturally occurring or randomly assigned at the cluster-level. For example, the literature on neighborhood determinants of health continues to grow. Likewise, community randomized trials…

统计方法学 · 统计学 2021-07-08 Laura B. Balzer , Wenjing Zheng , Mark J. van der Laan , Maya L. Petersen

Given a statistical model, we propose a novel estimation method that yields randomised estimators for the unknown distribution of an observed random variable. We establish non-asymptotic bounds for the performance of these estimators and…

统计理论 · 数学 2026-05-06 Yannick Baraud

We study efficiency improvements in randomized experiments for estimating a vector of potential outcome means using regression adjustment (RA) when there are more than two treatment levels. We show that linear RA which estimates separate…

计量经济学 · 经济学 2025-01-13 Akanksha Negi , Jeffrey M. Wooldridge