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Over the last decade, nonparametric methods have gained increasing attention for modeling complex data structures due to their flexibility and minimal structural assumptions. In this paper, we study a general multivariate nonparametric…

Methodology · Statistics 2026-03-18 Kunal Rai , Archi Roy , Itai Dattner , Soudeep Deb

We propose new parametric frameworks of regression analysis with the conditional mode of a bounded response as the focal point of interest. Covariate effects estimation and prediction based on the maximum likelihood method under two new…

Methodology · Statistics 2020-06-22 Haiming Zhou , Xianzheng Huang

Nonparametric and machine learning methods are flexible methods for obtaining accurate predictions. Nowadays, data sets with a large number of predictors and complex structures are fairly common. In the presence of item nonresponse,…

Methodology · Statistics 2022-08-23 Mehdi Dagdoug , Camelia Goga , David Haziza

This study considers regression analysis of a circular response with an error-prone linear covariate. Starting with an existing estimator of the circular regression function that assumes error-free covariate, three approaches are proposed…

Methodology · Statistics 2025-08-25 Nicholas Woolsey , Xianzheng Huang

The standard quantile regression model assumes a linear relationship at the quantile of interest and that all variables are observed. We relax these assumptions by considering a partial linear model while allowing for missing linear…

Methodology · Statistics 2016-06-07 Ben Sherwood

We consider an empirical likelihood inference for parameters defined by general estimating equations when some components of the random observations are subject to missingness. As the nature of the estimating equations is wide-ranging, we…

Statistics Theory · Mathematics 2009-03-05 Dong Wang , Song Xi Chen

We reexamine the classical linear regression model when the model is subject to two types of uncertainty: (i) some of covariates are either missing or completely inaccessible, and (ii) the variance of the measurement error is undetermined…

Statistics Theory · Mathematics 2021-08-05 Shuzhen Yang , Jianfeng Yao

How to deal with nonignorable response is often a challenging problem encountered in statistical analysis with missing data. Parametric model assumption for the response mechanism is often made and there is no way to validate the model…

Methodology · Statistics 2018-10-31 Masatoshi Uehara , Jae Kwang Kim

We consider the problem of regression with selectively observed covariates in a nonparametric framework. Our approach relies on instrumental variables that explain variation in the latent covariates but have no direct effect on selection.…

Econometrics · Economics 2020-10-15 Christoph Breunig , Peter Haan

This paper considers an empirical likelihood inference for parameters defined by general estimating equations, when data are missing at random. The efficiency of existing estimators depends critically on correctly specifying the conditional…

Methodology · Statistics 2016-12-06 Tianqing Liu , Xiaohui Yuan , Zhaohai Li , Aiyi Liu

Nonparametric regression is a standard statistical tool with increased importance in the Big Data era. Boundary points pose additional difficulties but local polynomial regression can be used to alleviate them. Local linear regression, for…

Other Statistics · Statistics 2017-04-04 Srinjoy Das , Dimitris N. Politis

Compositional data arise in many real-life applications and versatile methods for properly analyzing this type of data in the regression context are needed. When parametric assumptions do not hold or are difficult to verify, non-parametric…

Methodology · Statistics 2023-09-07 Michail Tsagris , Abdulaziz Alenazi , Connie Stewart

This article considers nonparametric regression models with multivariate covariates and with responses missing at random. We estimate the regression function with a local polynomial smoother. The residual-based empirical distribution…

Methodology · Statistics 2016-10-27 Justin Chown , Ursula U. Müller

Existing approaches to model uncertainty typically either compare models using a quantitative model selection criterion or evaluate posterior model probabilities having set a prior. In this paper, we propose an alternative strategy which…

Methodology · Statistics 2025-03-26 Vik Shirvaikar , Stephen G. Walker , Chris Holmes

We present a robust framework to perform linear regression with missing entries in the features. By considering an elliptical data distribution, and specifically a multivariate normal model, we are able to conditionally formulate a…

Machine Learning · Computer Science 2022-11-10 Alireza Aghasi , MohammadJavad Feizollahi , Saeed Ghadimi

In a recent paper Birke and Bissantz (2008) considered the problem of nonparametric estimation in inverse regression models with convolution-type operators. For multivariate predictors nonparametric methods suffer from the curse of…

Statistics Theory · Mathematics 2013-03-19 T. Hildebrandt , N. Bissantz , H. Dette

Individual-specific, time-constant, random effects are often used to model dependence and/or to account for omitted covariates in regression models for longitudinal responses. Longitudinal studies have known a huge and widespread use in the…

Methodology · Statistics 2026-01-14 Marco Alfo' , Roberto Rocci

Conformal prediction is a theoretically grounded framework for constructing predictive intervals. We study conformal prediction with missing values in the covariates -- a setting that brings new challenges to uncertainty quantification. We…

Machine Learning · Statistics 2023-06-06 Margaux Zaffran , Aymeric Dieuleveut , Julie Josse , Yaniv Romano

Conformal prediction provides a distribution-free framework for uncertainty quantification. This study explores the application of conformal prediction in scenarios where covariates are missing, which introduces significant challenges for…

Methodology · Statistics 2025-09-09 Jingsen Kong , YIming Liu , Guangren Yang

We study a class of missingness mechanisms, called sequentially additive nonignorable, for modeling multivariate data with item nonresponse. These mechanisms explicitly allow the probability of nonresponse for each variable to depend on the…

Methodology · Statistics 2019-02-19 Mauricio Sadinle , Jerome P. Reiter