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Concerning bivariate least squares linear regression, the classical results obtained for extreme structural models in earlier attempts are reviewed using a new formalism in terms of deviation (matrix) traces which, for homoscedastic data,…

天体物理仪器与方法 · 物理学 2017-11-17 R. Caimmi

In survival contexts, substantial literature exists on estimating optimal treatment regimes, where treatments are assigned based on personal characteristics to maximize the survival probability. These methods assume that a set of covariates…

统计方法学 · 统计学 2025-07-24 Junwen Xia , Zishu Zhan , Jingxiao Zhang

Non-adherence to assigned treatment is common in randomised controlled trials (RCTs). Recently, there has been an increased interest in estimating causal effects of treatment received, for example the so-called local average treatment…

统计方法学 · 统计学 2018-12-05 Karla DiazOrdaz , James Carpenter

Instrumental variable (IV) regression is a standard strategy for learning causal relationships between confounded treatment and outcome variables from observational data by utilizing an instrumental variable, which affects the outcome only…

机器学习 · 计算机科学 2023-06-28 Liyuan Xu , Yutian Chen , Siddarth Srinivasan , Nando de Freitas , Arnaud Doucet , Arthur Gretton

A common issue in learning decision-making policies in data-rich settings is spurious correlations in the offline dataset, which can be caused by hidden confounders. Instrumental variable (IV) regression, which utilises a key unconfounded…

机器学习 · 计算机科学 2025-06-25 Daqian Shao , Ashkan Soleymani , Francesco Quinzan , Marta Kwiatkowska

The errors-in-variables (EIV) regression model, being more realistic by accounting for measurement errors in both the dependent and the independent variables, is widely adopted in applied sciences. The traditional EIV model estimators,…

统计方法学 · 统计学 2015-08-13 Hao Han , Wei Zhu

It is well-known that, without restricting treatment effect heterogeneity, instrumental variable (IV) methods only identify "local" effects among compliers, i.e., those subjects who take treatment only when encouraged by the IV. Local…

统计方法学 · 统计学 2019-06-03 Edward H. Kennedy , Sivaraman Balakrishnan , Max G'Sell

Cluster randomized trials (CRTs) randomly assign an intervention to groups of individuals (e.g., clinics or communities) and measure outcomes on individuals in those groups. While offering many advantages, this experimental design…

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.…

信号处理 · 电气工程与系统科学 2017-11-01 Michael Krikheli , Amir Leshem

Estimating causal effects from high-dimensional, structured exposures is a fundamental challenge in modern applications ranging from neuroscience and finance to environmental science. While the literature has addressed high-dimensional…

统计方法学 · 统计学 2026-04-29 Samhita Pal , Dhrubajyoti Ghosh

Instrumental variables are a popular study design for the estimation of treatment effects in the presence of unobserved confounders. In the canonical instrumental variables design, the instrument is a binary variable. In many settings,…

统计方法学 · 统计学 2024-10-10 Prabrisha Rakshit , Alexander Levis , Luke Keele

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

This paper develops an empirical balancing approach for the estimation of treatment effects under two-sided noncompliance using a binary conditionally independent instrumental variable. The method weighs both treatment and outcome…

计量经济学 · 经济学 2020-07-10 Phillip Heiler

It is well known that in the presence of heteroscedasticity ordinary least squares estimator is not efficient. I propose a generalized automatic least squares estimator (GALS) that makes partial correction of heteroscedasticity based on a…

计量经济学 · 经济学 2023-04-18 Bulat Gafarov

Missing outcome data is one of the principal threats to the validity of treatment effect estimates from randomized trials. The outcome distributions of participants with missing and observed data are often different, which increases the…

统计方法学 · 统计学 2017-04-06 Iván Díaz , Mark J. van der Laan

In high-dimensional data analysis, bi-level sparsity is often assumed when covariates function group-wisely and sparsity can appear either at the group level or within certain groups. In such cases, an ideal model should be able to…

统计方法学 · 统计学 2021-09-14 Bin Luo , Xiaoli Gao

We develop a framework for quantifying omitted variable bias (OVB) in nonlinear instrumental variable (IV) estimators, including the local average treatment effect (LATE), the LATE for the treated (LATT), and the partially linear IV model…

计量经济学 · 经济学 2026-04-07 Yu-Min Yen

We consider the linear regression problem under semi-supervised settings wherein the available data typically consists of: (i) a small or moderate sized 'labeled' data, and (ii) a much larger sized 'unlabeled' data. Such data arises…

统计方法学 · 统计学 2018-07-02 Abhishek Chakrabortty , Tianxi Cai

Observational genome-wide association studies are now widely used for causal inference in genetic epidemiology. To maintain privacy, such data is often only publicly available as summary statistics, and often studies for the endogenous…

统计方法学 · 统计学 2024-11-26 Shimeng Huang , Niklas Pfister , Jack Bowden

Stepped-wedge designs are increasingly used in randomized experiments to accommodate logistical and ethical constraints by staggering treatment roll-out over time. Despite their popularity, existing analytical methods largely rely on…

统计方法学 · 统计学 2026-02-12 Liangbo Lyu , Bingkai Wang