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Estimating linear regression using least squares and reporting robust standard errors is very common in financial economics, and indeed, much of the social sciences and elsewhere. For thick tailed predictors under heteroskedasticity this…

统计方法学 · 统计学 2020-08-17 Neil Shephard

In the presence of auxiliary information, model-assisted estimators rely on a working model linking the variable of interest to the auxiliary variables in order to improve the efficiency of the Horvitz-Thompson estimator. Model-assisted…

统计方法学 · 统计学 2025-12-11 Caren Hasler , Esther Eustache

We restrict our attention to space-time point pattern data for which we have a single realisation within a finite region. Second-order characteristics are used to analyse the spatio-temporal structure of the underlying point process. In…

统计理论 · 数学 2013-04-29 Edith Gabriel

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

统计方法学 · 统计学 2020-08-04 Muxuan Liang , Menggang Yu

Despite the risk of misspecification they are tied to, parametric models continue to be used in statistical practice because they are accessible to all. In particular, efficient estimation procedures in parametric models are simple to…

统计理论 · 数学 2016-09-01 Marco Carone , Alexander R. Luedtke , Mark J. van der Laan

This paper presents uniform estimation and inference theory for a large class of nonparametric partitioning-based M-estimators. The main theoretical results include: (i) uniform consistency for convex and non-convex objective functions;…

统计理论 · 数学 2025-09-01 Matias D. Cattaneo , Yingjie Feng , Boris Shigida

This paper explores the nonparametric estimation of the volatility component in a heteroscedastic scalar-on-function regression model, where the underlying discrete-time process is ergodic and subject to a missing-at-random mechanism. We…

统计方法学 · 统计学 2024-12-17 Abdelbasset Djeniah , Mohamed Chaouch , Amina Angelika Bouchentouf

The linear regression model is widely used in empirical work in Economics, Statistics, and many other disciplines. Researchers often include many covariates in their linear model specification in an attempt to control for confounders. We…

统计理论 · 数学 2017-12-12 Matias D. Cattaneo , Michael Jansson , Whitney K. Newey

Evaluation of treatment effects and more general estimands is typically achieved via parametric modelling, which is unsatisfactory since model misspecification is likely. Data-adaptive model building (e.g. statistical/machine learning) is…

统计理论 · 数学 2022-01-14 Oliver Hines , Oliver Dukes , Karla Diaz-Ordaz , Stijn Vansteelandt

In the context of nonparametric regression models with one-sided errors, we consider parametric transformations of the response variable in order to obtain independence between the errors and the covariates. We focus in this paper on…

统计理论 · 数学 2019-01-31 Natalie Neumeyer , Leonie Selk , Charles Tillier

Motivated by modeling and analysis of mass-spectrometry data, a semi- and nonparametric model is proposed that consists of a linear parametric component for individual location and scale and a nonparametric regression function for the…

统计方法学 · 统计学 2013-05-08 Weiping Ma , Yang Feng , Kani Chen , Zhiliang Ying

We consider the efficient estimation of the semiparametric additive transformation model with current status data. A wide range of survival models and econometric models can be incorporated into this general transformation framework. We…

统计理论 · 数学 2011-05-09 Guang Cheng , Xiao Wang

Choice modeling is at the core of understanding how changes to the competitive landscape affect consumer choices and reshape market equilibria. In this paper, we propose a fundamental characterization of choice functions that encompasses a…

计量经济学 · 经济学 2024-02-21 Amandeep Singh , Ye Liu , Hema Yoganarasimhan

Suppose that univariate data are drawn from a mixture of two distributions that are equal up to a shift parameter. Such a model is known to be nonidentifiable from a nonparametric viewpoint. However, if we assume that the unknown mixed…

统计理论 · 数学 2016-08-16 Laurent Bordes , Stéphane Mottelet , Pierre Vandekerkhove

Predicting scalar outcomes using functional predictors is a classic problem in functional data analysis. In many applications, however, only specific locations or time-points of the functional predictors have an impact on the outcome. Such…

We study the problem of estimating a functional or a parameter in the context where outcome is subject to nonignorable missingness. We completely avoid modeling the regression relation, while allowing the propensity to be modeled by a…

统计方法学 · 统计学 2021-08-12 Samidha Shetty , Yanyuan Ma , Jiwei Zhao

This paper provides an entire inference procedure for the autoregressive model under (conditional) heteroscedasticity of unknown form with a finite variance. We first establish the asymptotic normality of the weighted least absolute…

统计方法学 · 统计学 2018-08-10 Ke Zhu

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

机器学习 · 计算机科学 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

Linear models have shown great effectiveness and flexibility in many fields such as machine learning, signal processing and statistics. They can represent rich spaces of functions while preserving the convexity of the optimization problems…

机器学习 · 计算机科学 2020-07-09 Ulysse Marteau-Ferey , Francis Bach , Alessandro Rudi

Online nonparametric estimators are gaining popularity due to their efficient computation and competitive generalization abilities. An important example includes variants of stochastic gradient descent. These algorithms often take one…

统计理论 · 数学 2025-07-08 Tianyu Zhang , Jing Lei