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Consider the problem of estimating the local average treatment effect with an instrument variable, where the instrument unconfoundedness holds after adjusting for a set of measured covariates. Several unknown functions of the covariates…

统计方法学 · 统计学 2020-09-22 Baoluo Sun , Zhiqiang Tan

This study considers various semiparametric difference-in-differences models under different assumptions on the relation between the treatment group identifier, time and covariates for cross-sectional and panel data. The variance lower…

计量经济学 · 经济学 2020-08-17 Michael Zimmert

The problem of estimating the coefficient of bivariate tail dependence is considered here from the robustness point of view; it combines two apparently contradictory theories of robust statistics and extreme value statistics. The usual…

应用统计 · 统计学 2014-07-08 Abhik Ghosh

We discuss recently developed methods that quantify the stability and generalizability of statistical findings under distributional changes. In many practical problems, the data is not drawn i.i.d. from the target population. For example,…

统计方法学 · 统计学 2023-10-05 Dominik Rothenhäusler , Peter Bühlmann

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

We consider a linear regression model, with the parameter of interest a specified linear combination of the regression parameter vector. We suppose that, as a first step, a data-based model selection (e.g. by preliminary hypothesis tests or…

统计理论 · 数学 2011-09-27 Paul Kabaila , Khageswor Giri

This tutorial-style overview article examines the fundamental principles and methods of robustness, using wireless sensing and communication (WSC) as the narrative and exemplifying framework. First, we formalize the conceptual and…

信号处理 · 电气工程与系统科学 2026-02-11 Shixiong Wang , Wei Dai , Li-Chun Wang , Geoffrey Ye Li

We consider a data-driven robust hypothesis test where the optimal test will minimize the worst-case performance regarding distributions that are close to the empirical distributions with respect to the Wasserstein distance. This leads to a…

统计理论 · 数学 2021-06-01 Liyan Xie , Rui Gao , Yao Xie

Consider semiparametric estimation where a doubly robust estimating function for a low-dimensional parameter is available, depending on two working models. With high-dimensional data, we develop regularized calibrated estimation as a…

统计方法学 · 统计学 2020-09-28 Satyajit Ghosh , Zhiqiang Tan

Modern technologies are producing datasets with complex intrinsic structures, and they can be naturally represented as matrices instead of vectors. To preserve the latent data structures during processing, modern regression approaches…

机器学习 · 计算机科学 2016-11-16 Hang Zhang , Fengyuan Zhu , Shixin Li

In Bayesian analysis, the posterior follows from the data and a choice of a prior and a likelihood. One hopes that the posterior is robust to reasonable variation in the choice of prior and likelihood, since this choice is made by the…

统计方法学 · 统计学 2015-12-09 Ryan Giordano , Tamara Broderick , Michael Jordan

Robustness checks are routine in empirical work, but there is no standard statistical procedure to formally measure what one can learn from them. I propose a "robustness radius" measure to quantify the amount by which the robustness checks…

计量经济学 · 经济学 2026-02-24 Brenda Prallon

Principal component analysis (PCA) is a widely employed statistical tool used primarily for dimensionality reduction. However, it is known to be adversely affected by the presence of outlying observations in the sample, which is quite…

统计方法学 · 统计学 2023-09-26 Subhrajyoty Roy , Ayanendranath Basu , Abhik Ghosh

The non-convexity and intractability of distributionally robust chance constraints make them challenging to cope with. From a data-driven perspective, we propose formulating it as a robust optimization problem to ensure that the…

最优化与控制 · 数学 2023-06-23 Zhiping Chen , Wentao Ma , Bingbing Ji

This paper studies robust regression in the settings of Huber's $\epsilon$-contamination models. We consider estimators that are maximizers of multivariate regression depth functions. These estimators are shown to achieve minimax rates in…

统计理论 · 数学 2017-02-16 Chao Gao

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…

计量经济学 · 经济学 2025-11-25 Oguzhan Akgun , Ryo Okui

Statistical techniques are used in all branches of science to determine the feasibility of quantitative hypotheses. One of the most basic applications of statistical techniques in comparative analysis is the test of equality of two…

统计方法学 · 统计学 2018-05-01 Ayanendranath Basu , Abhijit Mandal , Nirian Martin , Leandro Pardo

The analysis of survey data is a frequently arising issue in clinical trials, particularly when capturing quantities which are difficult to measure. Typical examples are questionnaires about patient's well-being, pain, or consent to an…

统计方法学 · 统计学 2024-01-31 Johannes Wieditz , Clemens Miller , Jan Scholand , Marcus Nemeth

Doubly robust estimators have gained popularity in the field of causal inference due to their ability to provide consistent point estimates when either an outcome or exposure model is correctly specified. However, for nonrandomized…

As machine learning models become increasingly prevalent in critical decision-making models and systems in fields like finance, healthcare, etc., ensuring their robustness against adversarial attacks and changes in the input data is…

机器学习 · 统计学 2024-08-05 Arun Prakash R , Anwesha Bhattacharyya , Joel Vaughan , Vijayan N. Nair