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The paper analyzes four classical signal-plus-noise models: the factor model, spiked sample covariance matrices, the sum of a Wigner matrix and a low-rank perturbation, and canonical correlation analysis with low-rank dependencies. The…

统计方法学 · 统计学 2026-02-04 Anna Bykhovskaya , Vadim Gorin , Sasha Sodin

Causal effect estimation from observational data is an important and much studied research topic. The instrumental variable (IV) and local causal discovery (LCD) patterns are canonical examples of settings where a closed-form expression…

机器学习 · 统计学 2018-09-19 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

Time-to-event analyses are often plagued by both -- possibly unmeasured -- confounding and competing risks. To deal with the former, the use of instrumental variables for effect estimation is rapidly gaining ground. We show how to make use…

统计方法学 · 统计学 2018-01-04 Torben Martinussen , Stijn Vansteelandt

In finite samples, the use of a slightly endogenous but highly relevant instrument can reduce mean-squared error (MSE). Building on this observation, I propose a novel moment selection procedure for GMM -- the Focused Moment Selection…

统计方法学 · 统计学 2026-02-24 Francis J. DiTraglia

Recent progress in deep latent variable models has largely been driven by the development of flexible and scalable variational inference methods. Variational training of this type involves maximizing a lower bound on the log-likelihood,…

机器学习 · 计算机科学 2016-06-02 Andriy Mnih , Danilo J. Rezende

Instrumental variables have been widely used to estimate the causal effect of a treatment on an outcome. Existing confidence intervals for causal effects based on instrumental variables assume that all of the putative instrumental variables…

统计方法学 · 统计学 2016-07-14 Hyunseung Kang , T. Tony Cai , Dylan S. Small

Instrumental variables have proven useful, in particular within the social sciences and economics, for making inference about the causal effect of a random variable, B, on another random variable, C, in the presence of unobserved…

统计方法学 · 统计学 2012-06-26 Roland R. Ramsahai

In this paper we consider a variety of procedures for numerical statistical inference in the family of univariate and multivariate stable distributions. In connection with univariate distributions (i) we provide approximations by finite…

统计计算 · 统计学 2012-09-04 Efthymios G. Tsionas

We consider the scenario where important signals are not strong enough to be separable from a large amount of noise. Such weak signals commonly exist in large-scale data analysis and play vital roles in many biomedical applications.…

统计方法学 · 统计学 2022-01-26 X. Jessie Jeng , Yifei Hu

Composite likelihood inference has gained much popularity thanks to its computational manageability and its theoretical properties. Unfortunately, performing composite likelihood ratio tests is inconvenient because of their awkward…

统计计算 · 统计学 2014-08-01 Manuela Cattelan , Nicola Sartori

We tackle the problem of bias mitigation of algorithmic decisions in a setting where both the output of the algorithm and the sensitive variable are continuous. Most of prior work deals with discrete sensitive variables, meaning that the…

In this paper I derive a set of testable implications for econometric models defined by three assumptions: (i) the existence of strictly exogenous discrete instruments, (ii) restrictions on how the instruments affect adoption of a finite…

计量经济学 · 经济学 2026-01-22 Ricardo E. Miranda

The widespread co-existence of misspecification and weak identification in asset pricing has led to an overstated performance of risk factors. Because the conventional Fama and MacBeth (1973) methodology is jeopardized by misspecification…

计量经济学 · 经济学 2022-06-29 Frank Kleibergen , Zhaoguo Zhan

Nonlinear causal effects are prevalent in many research scenarios involving continuous exposures, and instrumental variables (IVs) can be employed to investigate such effects, particularly in the presence of unmeasured confounders. However,…

统计方法学 · 统计学 2025-10-29 Haodong Tian , Ashish Patel , Stephen Burgess

Instrumental variables analysis using genetic markers as instruments is now a widely used technique in epidemiology and biostatistics. As single markers tend to explain only a small proportion of phenotypic variation, there is increasing…

统计方法学 · 统计学 2015-04-09 Paul S. Clarke , Tom M. Palmer , Frank Windmeijer

When drawing causal inferences about the effects of multiple treatments on clustered survival outcomes using observational data, we need to address implications of the multilevel data structure, multiple treatments, censoring and unmeasured…

统计方法学 · 统计学 2022-02-18 Liangyuan Hu , Jiayi Ji , Ronald D. Ennis , Joseph W. Hogan

A general formalism for joint weak measurements of a pair of complementary observables is given. The standard process of optical three-wave mixing in a nonlinear crystal (such as in parametric down-conversion) is suitable for such tasks. To…

量子物理 · 物理学 2012-02-27 Shengjun Wu , Marek Żukowski

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

统计理论 · 数学 2017-07-25 Abhik Ghosh , Ayanendranath Basu

With nonignorable nonresponse, an effective method to construct valid estimators of population parameters is to use a covariate vector called instrument that can be excluded from the nonresponse propensity but are still useful covariate…

统计方法学 · 统计学 2025-09-17 Ji Chen , Jun Shao

Instrumental variable (IV) methods are widely used to infer treatment effects in the presence of unmeasured confounding. In this paper, we study nonparametric inference with an IV under a separable binary treatment choice model, which…

统计方法学 · 统计学 2026-02-03 Chan Park , Eric Tchetgen Tchetgen
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