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The linear instrumental variable (IV) model is widely used in observational studies, yet its validity hinges on strong assumptions. Classical specification tests such as the Sargan-Hansen J test are limited to overidentified settings and…

Methodology · Statistics 2026-04-21 Cyrill Scheidegger , Malte Londschien , Peter Bühlmann

Selective inference is the problem of giving valid answers to statistical questions chosen in a data-driven manner. A standard solution to selective inference is simultaneous inference, which delivers valid answers to the set of all…

Methodology · Statistics 2024-05-03 Tijana Zrnic , William Fithian

This article presents a novel, general, and effective simulation-inspired approach, called {\it repro samples method}, to conduct statistical inference. The approach studies the performance of artificial samples, referred to as {\it repro…

Methodology · Statistics 2022-06-15 Min-ge Xie , Peng Wang

This paper presents robust inference methods for general linear hypotheses in linear panel data models with latent group structure in the coefficients. We employ a selective conditional inference approach, deriving the conditional…

Econometrics · Economics 2025-11-25 Oguzhan Akgun , Ryo Okui

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,…

Methodology · Statistics 2024-10-10 Prabrisha Rakshit , Alexander Levis , Luke Keele

Linear instrumental variable regressions are widely used to estimate causal effects. Many instruments arise from the use of ``technical'' instruments and more recently from the empirical strategy of ``judge design''. This paper surveys and…

Econometrics · Economics 2024-01-26 Anna Mikusheva , Liyang Sun

This paper proposes a simple unified inference approach on moment restrictions in the presence of nuisance parameters. The proposed test is constructed based on a new characterization that avoids the estimation of nuisance parameters and…

Methodology · Statistics 2025-12-19 Xingyu Li , Xiaojun Song , Zhenting Sun

Inference for models with recursively defined likelihoods is computationally demanding, limiting scalability to large datasets. We propose a stabilised weighted subsampling methodology for accelerated inference based on an unbiased…

Methodology · Statistics 2026-05-14 Matias Quiroz , Aishwarya Bhaskaran , Zixuan Wang , Thomas Goodwin

We consider the problem of efficient inference of the Average Treatment Effect in a sequential experiment where the policy governing the assignment of subjects to treatment or control can change over time. We first provide a central limit…

Machine Learning · Statistics 2024-03-05 Thomas Cook , Alan Mishler , Aaditya Ramdas

We focus on the problem estimating a monotone trend function under additive and dependent noise. New point-wise confidence interval estimators under both short- and long-range dependent errors are introduced and studied. These intervals are…

Statistics Theory · Mathematics 2016-02-23 Pramita Bagchi , Moulinath Banerjee , Stilian Stoev

We provide a new flexible framework for inference with the instrumental variable model. Rather than using linear specifications, functions characterizing the effects of instruments and other explanatory variables are estimated using machine…

Machine Learning · Statistics 2021-02-03 Robert E. McCulloch , Rodney A. Sparapani , Brent R. Logan , Purushottam W. Laud

We introduce a flexible framework for making inferences about general linear forms of a large matrix based on noisy observations of a subset of its entries. In particular, under mild regularity conditions, we develop a universal procedure…

Statistics Theory · Mathematics 2020-06-12 Dong Xia , Ming Yuan

Identification-robust hypothesis tests are commonly based on the continuous updating GMM objective function. When the number of moment conditions grows proportionally with the sample size, the large-dimensional weighting matrix prohibits…

Econometrics · Economics 2025-10-10 Tom Boot , Johannes W. Ligtenberg

We develop a methodology for conducting inference on extreme quantiles of unobserved individual heterogeneity (e.g., heterogeneous coefficients, treatment effects) in panel data and meta-analysis settings. Inference is challenging in such…

Econometrics · Economics 2026-02-04 Vladislav Morozov

This paper considers inference for a function of a parameter vector in a partially identified model with many moment inequalities. This framework allows the number of moment conditions to grow with the sample size, possibly at exponential…

Statistics Theory · Mathematics 2018-07-02 Alexandre Belloni , Federico Bugni , Victor Chernozhukov

In this paper, we present a novel and effective inference approach to conduct both finite- and large-sample inference for high-dimensional linear regression models. This approach is developed under the so-called repro samples framework, in…

Methodology · Statistics 2025-12-01 Peng Wang , Min-Ge Xie , Linjun Zhang

We show that moment inequalities in a wide variety of economic applications have a particular linear conditional structure. We use this structure to construct uniformly valid confidence sets that remain computationally tractable even in…

Econometrics · Economics 2022-12-20 Isaiah Andrews , Jonathan Roth , Ariel Pakes

Computer models play a crucial role in numerous scientific and engineering domains. To ensure the accuracy of simulations, it is essential to properly calibrate the input parameters of these models through statistical inference. While…

Applications · Statistics 2024-03-07 Dongkyu Derek Cho , Won Chang , Jaewoo Park

Inference for mechanistic models is challenging because of nonlinear interactions between model parameters and a lack of identifiability. Here we focus on a specific class of mechanistic models, which we term stable differential equations.…

Computation · Statistics 2017-12-13 Philip Maybank , Ingo Bojak , Richard G. Everitt

We study a linear observation model with an unknown permutation called \textit{permuted/shuffled linear regression}, where responses and covariates are mismatched and the permutation forms a discrete, factorial-size parameter. The…

Statistics Theory · Mathematics 2026-01-23 Hirofumi Ota , Masaaki Imaizumi