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Matrix-variate Gaussian graphical models (GGM) have been widely used for modeling matrix-variate data. Since the support of sparse precision matrix represents the conditional independence graph among matrix entries, conducting support…

统计方法学 · 统计学 2017-09-01 Xi Chen , Weidong Liu

We develop a class of optimal tests for a structural break occurring at an unknown date in infinite and growing-order time series regression models, such as AR($\infty$), linear regression with increasingly many covariates, and…

计量经济学 · 经济学 2025-10-15 Abhimanyu Gupta , Myung Hwan Seo

This paper studies optimal decision rules, including estimators and tests, for weakly identified GMM models. We derive the limit experiment for weakly identified GMM, and propose a theoretically-motivated class of priors which give rise to…

计量经济学 · 经济学 2021-07-09 Isaiah Andrews , Anna Mikusheva

This paper uses model symmetries in the instrumental variable (IV) regression to derive an invariant test for the causal structural parameter. Contrary to popular belief, we show that there exist model symmetries when equation errors are…

统计理论 · 数学 2021-09-02 Marcelo J. Moreira , Mahrad Sharifvaghefi , Geert Ridder

In this work, we study the weighted empirical risk minimization (weighted ERM) schema, in which an additional data-dependent weight function is incorporated when the empirical risk function is being minimized. We show that under a general…

机器学习 · 计算机科学 2025-01-07 Yikai Zhang , Jiahe Lin , Fengpei Li , Songzhu Zheng , Anant Raj , Anderson Schneider , Yuriy Nevmyvaka

Given measurements from sensors and a set of standard forces, an optimization based approach to identify weakness in structures is introduced. The key novelty lies in letting the load and measurements to be random variables. Subsequently…

最优化与控制 · 数学 2023-11-22 Facundo N. Airaudo , Harbir Antil , Rainald Löhner , Umarkhon Rakhimov

The classical tests in the instrumental variable model can behave arbitrarily if the data is contaminated. For instance, one outlying observation can be enough to change the outcome of a test. We develop a framework to construct testing…

计量经济学 · 经济学 2024-03-26 Jens Klooster , Mikhail Zhelonkin

This paper provides parametric and rank-based optimal tests for eigenvectors and eigenvalues of covariance or scatter matrices in elliptical families. The parametric tests extend the Gaussian likelihood ratio tests of Anderson (1963) and…

统计理论 · 数学 2012-11-12 Marc Hallin , Davy Paindaveine , Thomas Verdebout

Shape restrictions have played a central role in economics as both testable implications of theory and sufficient conditions for obtaining informative counterfactual predictions. In this paper we provide a general procedure for inference…

统计理论 · 数学 2022-04-29 Victor Chernozhukov , Whitney K. Newey , Andres Santos

In an instrumental variable model, the score statistic can be bounded for any alternative in parts of the parameter space. These regions involve a constraint on the first-stage regression coefficients and the reduced-form covariance matrix.…

统计理论 · 数学 2021-09-13 Marcelo J. Moreira , Geert Ridder

Montiel Olea and Pflueger (2013) proposed the effective F-statistic as a test for weak instruments in terms of the Nagar bias of the two-stage least squares (2SLS) estimator relative to a benchmark worst-case bias. We show that their…

计量经济学 · 经济学 2025-01-22 Frank Windmeijer

It is a common saying that testing for conditional independence, i.e., testing whether whether two random vectors $X$ and $Y$ are independent, given $Z$, is a hard statistical problem if $Z$ is a continuous random variable (or vector). In…

统计理论 · 数学 2022-03-25 Rajen D. Shah , Jonas Peters

This paper derives asymptotic approximations to the power of Cramer-von Mises (CvM) style tests for inference on a finite dimensional parameter defined by conditional moment inequalities in the case where the parameter is set identified.…

应用统计 · 统计学 2017-07-10 Timothy B. Armstrong

Exogeneity is key for IV estimators, which can assessed via overidentification (OID) tests. We discuss the Kleibergen-Paap (KP) rank test as a heteroskedasticity-robust OID test and compare to the typical J-test. We derive the…

计量经济学 · 经济学 2025-09-26 Stuart Lane , Frank Windmeijer

Often when we deal with `Big Data', the true effects we are interested in are Rare and Weak (RW). Researchers measure a large number of features, hoping to find perhaps only a small fraction of them to be relevant to the research in…

统计理论 · 数学 2014-10-20 Jiashun Jin , Tracy Ke

We develop a technique to improve the power of any e-value by a simple randomization involving one independent uniform random variable. Using this framework, we show that two procedures for false discovery rate (FDR) control -- the…

统计方法学 · 统计学 2025-12-15 Ziyu Xu , Aaditya Ramdas

Random Hermitian matrices with a source term arise, for instance, in the study of non-intersecting Brownian walkers \cite{Adler:2009a, Daems:2007} and sample covariance matrices \cite{Baik:2005}. We consider the case when the $n\times n$…

数学物理 · 物理学 2010-09-21 Marco Bertola , Robert Buckingham , Seung-Yeop Lee , Virgil U. Pierce

We analytically investigate size and power properties of a popular family of procedures for testing linear restrictions on the coefficient vector in a linear regression model with temporally dependent errors. The tests considered are…

统计理论 · 数学 2015-05-12 David Preinerstorfer

In contrast to the popular Cox model which presents a multiplicative covariate effect specification on the time to event hazards, the semiparametric additive risks model (ARM) offers an attractive additive specification, allowing for direct…

统计方法学 · 统计学 2022-03-21 Tong Wang , Dipankar Bandyopadhyay , Samiran Sinha

Testing restrictions on regression coefficients in linear models often requires correcting the conventional F-test for potential heteroskedasticity or autocorrelation amongst the disturbances, leading to so-called heteroskedasticity and…

统计理论 · 数学 2016-12-21 David Preinerstorfer , Benedikt M. Pötscher