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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…

Econometrics · Economics 2021-06-22 Jiafeng Chen , Daniel L. Chen , Greg Lewis

This paper revisits the Lagrange multiplier type test for the null hypothesis of no cross-sectional dependence in large panel data models. We propose a unified test procedure and its power enhancement version, which show robustness for a…

Econometrics · Economics 2023-03-01 Zhenhong Huang , Zhaoyuan Li , Jianfeng Yao

This paper studies the challenging problem of estimating causal effects from observational data, in the presence of unobserved confounders. The two-stage least square (TSLS) method and its variants with a standard instrumental variable (IV)…

Machine Learning · Computer Science 2023-10-04 Debo Cheng , Ziqi Xu , Jiuyong Li , Lin Liu , Jixue Liu , Thuc Duy Le

We study the gradient wild bootstrap-based inference for instrumental variable quantile regressions in the framework of a small number of large clusters in which the number of clusters is viewed as fixed, and the number of observations for…

Econometrics · Economics 2024-08-21 Wenjie Wang , Yichong Zhang

We use identification robust tests to show that difference, level and non-linear moment conditions, as proposed by Arellano and Bond (1991), Arellano and Bover (1995), Blundell and Bond (1998) and Ahn and Schmidt (1995) for the linear…

Econometrics · Economics 2021-05-19 Maurice J. G. Bun , Frank Kleibergen

Within the nonparametric regression model with unknown regression function $l$ and independent, symmetric errors, a new multiscale signed rank statistic is introduced and a conditional multiple test of the simple hypothesis $l=0$ against a…

Statistics Theory · Mathematics 2008-12-18 Angelika Rohde

We propose a computationally straightforward test for the linearity of a spatial interaction function. Such functions arise commonly, either as practitioner imposed specifications or due to optimizing behaviour by agents. Our conditional…

Econometrics · Economics 2025-04-30 Abhimanyu Gupta , Jungyoon Lee , Francesca Rossi

This paper studies permutation tests for regression parameters in a time series setting, where the time series is assumed stationary but may exhibit an arbitrary (but weak) dependence structure. In such a setting, it is perhaps surprising…

Statistics Theory · Mathematics 2024-04-11 Joseph P. Romano , Marius A. Tirlea

In this paper the accuracy and robustness of quality measures for the assessment of machine learning models are investigated. The prediction quality of a machine learning model is evaluated model-independent based on a cross-validation…

Machine Learning · Statistics 2024-10-07 Thomas Most , Lars Gräning , Sebastian Wolff

We consider the problem of testing whether a single coefficient is equal to zero in linear models when the dimension of covariates $p$ can be up to a constant fraction of sample size $n$. In this regime, an important topic is to propose…

Statistics Theory · Mathematics 2025-05-06 Kaiyue Wen , Tengyao Wang , Yuhao Wang

In offline reinforcement learning (RL) an optimal policy is learned solely from a priori collected observational data. However, in observational data, actions are often confounded by unobserved variables. Instrumental variables (IVs), in…

Machine Learning · Statistics 2024-10-16 Luofeng Liao , Zuyue Fu , Zhuoran Yang , Yixin Wang , Mladen Kolar , Zhaoran Wang

Given observations from a stationary time series, permutation tests allow one to construct exactly level $\alpha$ tests under the null hypothesis of an i.i.d. (or, more generally, exchangeable) distribution. On the other hand, when the null…

Statistics Theory · Mathematics 2020-09-09 Joseph P. Romano , Marius A. Tirlea

Regression is one of the most commonly used statistical techniques. However, testing regression systems is a great challenge because of the absence of test oracle in general. In this paper, we show that Metamorphic Testing is an effective…

Methodology · Statistics 2021-08-24 Quang-Hung Luu , Man F. Lau , Sebastian P. H. Ng , Tsong Yueh Chen

In this paper, we propose a simple method for testing identifying assumptions in parametric separable models, namely treatment exogeneity, instrument validity, and/or homoskedasticity. We show that the testable implications can be written…

Econometrics · Economics 2024-10-17 Leonard Goff , Désiré Kédagni , Huan Wu

This paper develops robust confidence intervals in high-dimensional and left-censored regression. Type-I censored regression models are extremely common in practice, where a competing event makes the variable of interest unobservable.…

Statistics Theory · Mathematics 2017-08-16 Jelena Bradic , Jiaqi Guo

In this paper, we investigate local permutation tests for testing conditional independence between two random vectors $X$ and $Y$ given $Z$. The local permutation test determines the significance of a test statistic by locally shuffling…

Statistics Theory · Mathematics 2022-01-07 Ilmun Kim , Matey Neykov , Sivaraman Balakrishnan , Larry Wasserman

We develop inference procedures robust to general forms of weak dependence. The procedures utilize test statistics constructed by resampling in a manner that does not depend on the unknown correlation structure of the data. We prove that…

Econometrics · Economics 2021-08-26 Michael P. Leung

This paper explores testing unit roots based on least absolute deviations (LAD) regression under unconditional heteroskedasticity. We first derive the asymptotic properties of the LAD estimator for a first-order autoregressive process with…

Methodology · Statistics 2024-10-18 Jilin Wu , Ruike Wu , Zhijie Xiao

Existing identification and estimation methods for semiparametric sample selection models rely heavily on exclusion restrictions. However, it is difficult in practice to find a credible excluded variable that has a correlation with…

Econometrics · Economics 2024-12-03 Zhewen Pan , Yifan Zhang

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,…

Instrumentation and Methods for Astrophysics · Physics 2017-11-17 R. Caimmi
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