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This work is concerned with the estimation of multidimensional regression and the asymptotic behaviour of the test involved in selecting models. The main problem with such models is that we need to know the covariance matrix of the noise to…

统计理论 · 数学 2008-02-20 Joseph Rynkiewicz

The functional linear model is an important extension of the classical regression model allowing for scalar responses to be modeled as functions of stochastic processes. Yet, despite the usefulness and popularity of the functional linear…

统计方法学 · 统计学 2025-11-27 Ioannis Kalogridis , Stanislav Nagy

We present methods for causally interpretable meta-analyses that combine information from multiple randomized trials to estimate potential (counterfactual) outcome means and average treatment effects in a target population. We consider…

Recently, interpretable models called self-explaining models (SEMs) have been proposed with the goal of providing interpretability robustness. We evaluate the interpretability robustness of SEMs and show that explanations provided by SEMs…

机器学习 · 计算机科学 2020-07-03 Haizhong Zheng , Earlence Fernandes , Atul Prakash

We propose a class of robust estimates for multivariate linear models. Based on the approach of MM estimation (Yohai 1987), we estimate the regression coefficients and the covariance matrix of the errors simultaneously. These estimates have…

统计理论 · 数学 2025-12-03 Nadia L. Kudraszow , Ricardo A. Maronna

Multivariate sign functions are often used for robust estimation and inference. We propose using data dependent weights in association with such functions. The proposed weighted sign functions retain desirable robustness properties, while…

统计方法学 · 统计学 2022-06-22 Subhabrata Majumdar , Snigdhansu Chatterjee

This paper contributes to the literature on treatment effects estimation with machine learning inspired methods by studying the performance of different estimators based on the Lasso. Building on recent work in the field of high-dimensional…

计量经济学 · 经济学 2018-05-15 Michael Zimmert

Irregular functional data in which densely sampled curves are observed over different ranges pose a challenge for modeling and inference, and sensitivity to outlier curves is a concern in applications. Motivated by applications in…

统计方法学 · 统计学 2021-05-14 Yeonjoo Park , Xiaohui Chen , Douglas G. Simpson

The R package CVEK introduces a suite of flexible machine learning models and robust hypothesis tests for learning the joint nonlinear effects of multiple covariates in limited samples. It implements the Cross-validated Ensemble of Kernels…

统计计算 · 统计学 2020-12-22 Wenying Deng , Jeremiah Zhe Liu , Erin Lake , Brent A. Coull

Item nonresponse is a common issue in surveys. Because unadjusted estimators may be biased in the presence of nonresponse, it is common practice to impute the missing values with the objective of reducing the nonresponse bias as much as…

统计方法学 · 统计学 2020-10-06 Sixia Chen , David Haziza , Victoire Michal

Recent developments in regularized Canonical Correlation Analysis (CCA) promise powerful methods for high-dimensional, multiview data analysis. However, justifying the structural assumptions behind many popular approaches remains a…

统计方法学 · 统计学 2025-11-18 Lennie Wells , Kumar Thurimella , Sergio Bacallado

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

We collect robust proposals given in the field of regression models with heteroscedastic errors. Our motivation stems from the fact that the practitioner frequently faces the confluence of two phenomena in the context of data analysis:…

统计方法学 · 统计学 2023-11-08 Conceição Amado , Ana M. Bianco , Graciela Boente , Isabel M. Rodrigues

Long-run covariance matrix estimation is the building block of time series inference. The corresponding difference-based estimator, which avoids detrending, has attracted considerable interest due to its robustness to both smooth and abrupt…

统计方法学 · 统计学 2024-02-29 Lujia Bai , Weichi Wu

We propose a doubly robust approach to characterizing treatment effect heterogeneity in observational studies. We develop a frequentist inferential procedure that utilizes posterior distributions for both the propensity score and outcome…

统计方法学 · 统计学 2022-07-21 Heejun Shin , Joseph Antonelli

Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

统计方法学 · 统计学 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

The canonical correlation analysis (CCA) is commonly used to analyze data sets with paired data, e.g. measurements of gene expression and metabolomic intensities of the same experiments. This allows to find interesting relationships between…

Epidemiologists increasingly use causal inference methods that rely on machine learning, as these approaches can relax unnecessary model specification assumptions. While deriving and studying asymptotic properties of such estimators is a…

统计方法学 · 统计学 2025-02-11 Audrey Renson , Lina Montoya , Dana E. Goin , Iván Díaz , Rachael K. Ross

This paper proposes a new class of M-estimators that double weight for the twin problems of nonrandom treatment assignment and missing outcomes, both of which are common issues in the treatment effects literature. The proposed class is…

计量经济学 · 经济学 2020-11-24 Akanksha Negi

We provide a new computationally-efficient class of estimators for risk minimization. We show that these estimators are robust for general statistical models: in the classical Huber epsilon-contamination model and in heavy-tailed settings.…

机器学习 · 统计学 2018-04-23 Adarsh Prasad , Arun Sai Suggala , Sivaraman Balakrishnan , Pradeep Ravikumar