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In this note, we propose to use sparse methods (e.g. LASSO, Post-LASSO, sqrt-LASSO, and Post-sqrt-LASSO) to form first-stage predictions and estimate optimal instruments in linear instrumental variables (IV) models with many instruments in…

统计方法学 · 统计学 2017-10-05 Alexandre Belloni , Victor Chernozhukov , Christian Hansen

We offer straightforward theoretical results that justify incorporating machine learning in the standard linear instrumental variable setting. The key idea is to use machine learning, combined with sample-splitting, to predict the treatment…

计量经济学 · 经济学 2021-06-22 Jiafeng Chen , Daniel L. Chen , Greg Lewis

The autocovariance least squares (ALS) method is a computationally efficient approach for estimating noise covariances in Kalman filters without requiring specific noise models. However, conventional ALS and its variants rely on the classic…

最优化与控制 · 数学 2026-03-10 Jiahong Li , Fang Deng

Semivariance is a measure of the dispersion of all observations that fall above the mean or target value of a random variable and it plays an important role in life-length, actuarial and income studies. In this paper, we develop a new…

统计方法学 · 统计学 2024-02-29 Saparya Suresh , Sudheesh K. Kattumannil

The finite sample properties of estimators are usually understood or approximated using asymptotic theories. Two main asymptotic constructions have been used to characterize the presence of many instruments. The first assumes that the…

计量经济学 · 经济学 2021-06-30 Guy Tchuente

It has recently been discovered that the conclusions of many highly influential econometrics studies can be overturned by removing a very small fraction of their samples (often less than $0.5\%$). These conclusions are typically based on…

机器学习 · 计算机科学 2024-10-11 Ittai Rubinstein , Samuel B. Hopkins

The presence of outlying observations may adversely affect statistical testing procedures that result in unstable test statistics and unreliable inferences depending on the distortion in parameter estimates. In spite of the fact that the…

统计方法学 · 统计学 2021-04-19 Beste Hamiye Beyaztas , Soutir Bandyopadhyay , Abhijit Mandal

This article develops a significance test for the Difference-in-Differences (DiD) estimator based on dual-margin randomization, in which both the treatment and time indicators are independently permuted to generate an empirical null…

计量经济学 · 经济学 2026-05-13 Stanisław Marek Sergiusz Halkiewicz , Andrzej Kałuża

Empirical causal claims depend on many analyst decisions, from selecting covariates to choosing estimators. Existing robustness tools summarize how results vary across these choices, but, to the best of our knowledge, do not answer:…

统计方法学 · 统计学 2026-05-05 Hoang Dang , Luan Pham , Minh Nguyen

We provide a non-asymptotic analysis of the linear instrumental variable estimator allowing for the presence of exogeneous covariates. In addition, we introduce a novel measure of the strength of an instrument that can be used to derive…

统计理论 · 数学 2024-10-04 Eric Xia , Martin J. Wainwright , Whitney Newey

We consider Wald type statistics designed for joint predictability and structural break testing based on the instrumentation method of Phillips and Magdalinos (2009). We show that under the assumption of nonstationary predictors: (i) the…

计量经济学 · 经济学 2023-07-31 Christis Katsouris

Samples with a common mean but possibly different, ordered variances arise in various fields such as interlaboratory experiments, field studies or the analysis of sensor data. Estimators for the common mean under ordered variances typically…

统计理论 · 数学 2019-01-30 Ansgar Steland , Yuan-Tsung Chang

Double Machine Learning is often justified by nuisance-rate conditions, yet finite-sample reliability also depends on the conditioning of the orthogonal-score Jacobian. This conditioning is typically assumed rather than tracked. When…

统计方法学 · 统计学 2026-01-08 Gabriel Saco

Mendelian randomization (MR) has been a popular method in genetic epidemiology to estimate the effect of an exposure on an outcome using genetic variants as instrumental variables (IV), with two-sample summary-data MR being the most…

统计方法学 · 统计学 2021-06-08 Sheng Wang , Hyunseung Kang

Linear Least Squares is a very well known technique for parameter estimation, which is used even when sub-optimal, because of its very low computational requirements and the fact that exact knowledge of the noise statistics is not required.…

统计理论 · 数学 2018-10-16 Michael Krikheli , Amir Leshem

Ordinary least squares (OLS) linear regression is one of the most basic statistical techniques for data analysis. In the main stream literature and the statistical education, the study of linear regression is typically restricted to the…

统计理论 · 数学 2018-09-28 Arun K. Kuchibhotla , Lawrence D. Brown , Andreas Buja

Empirical instrumental variables (IV) studies often report separate results based on low-dimensional instruments and many base instruments. This paper proposes a combination test that integrates these commonly reported statistics. The test…

计量经济学 · 经济学 2026-03-25 Liyu Dou , Pengjin Min , Wenjie Wang , Yichong Zhang

Instrumental variable (IV) analysis is widely used in fields such as economics and epidemiology to address unobserved confounding and measurement error when estimating the causal effects of intermediate covariates on outcomes. However,…

统计方法学 · 统计学 2025-09-16 Zian Zhuang , Hua Zhou , Jin Zhou , Gang Li

We introduce the implicitly constrained least squares (ICLS) classifier, a novel semi-supervised version of the least squares classifier. This classifier minimizes the squared loss on the labeled data among the set of parameters implied by…

机器学习 · 统计学 2017-01-31 Jesse H. Krijthe , Marco Loog

Reproducibility is imperative for any scientific discovery. More often than not, modern scientific findings rely on statistical analysis of high-dimensional data. At a minimum, reproducibility manifests itself in stability of statistical…

统计理论 · 数学 2013-10-02 Bin Yu