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Recent methods in quantile regression have adopted a classification perspective to handle challenges posed by heteroscedastic, multimodal, or skewed data by quantizing outputs into fixed bins. Although these regression-as-classification…

Machine Learning · Computer Science 2024-11-05 Batuhan Cengiz , Halil Faruk Karagoz , Tufan Kumbasar

For sparse high-dimensional regression problems, Cox and Battey [1, 9] emphasised the need for confidence sets of models: an enumeration of those small sets of variables that fit the data equivalently well in a suitable statistical sense.…

Methodology · Statistics 2025-06-10 R. M. Lewis , H. S. Battey

We propose a new class of exact continuous relaxations of l0-regularized criteria involving non-quadratic data terms such as the Kullback-Leibler divergence and the logistic regression, possibly combined with an l2 regularization. We first…

Optimization and Control · Mathematics 2025-08-26 M'hamed Essafri , Luca Calatroni , Emmanuel Soubies

The aim of this article is to propose a novel kernel estimator of the baseline function in a general high-dimensional Cox model, for which we derive non-asymptotic rates of convergence. To construct our estimator, we first estimate the…

Applications · Statistics 2015-07-07 Agathe Guilloux , Sarah Lemler , Marie-Luce Taupin

In this paper we describe the implementation of semi-structured deep distributional regression, a flexible framework to learn conditional distributions based on the combination of additive regression models and deep networks. Our…

We propose a general framework for nonasymptotic covariance matrix estimation making use of concentration inequality-based confidence sets. We specify this framework for the estimation of large sparse covariance matrices through…

Methodology · Statistics 2020-12-17 Adam B Kashlak , Linglong Kong

In this paper, a semiparametric partially linear model in the spirit of Robinson (1988) with Box- Cox transformed dependent variable is studied. Transformation regression models are widely used in applied econometrics to avoid…

Econometrics · Economics 2021-06-22 Daniel Becker , Alois Kneip , Valentin Patilea

Recently the shape-restricted inference has gained popularity in statistical and econometric literature in order to relax the linear or quadratic covariate effect in regression analyses. The typical shape-restricted covariate effect…

Methodology · Statistics 2021-07-05 Geng Deng , Guangning Xu , Qiang Fu , Xindong Wang , Jing Qin

Nonlinear mixed effects models have received a great deal of attention in the statistical literature in recent years because of their flexibility in handling longitudinal studies, including human immunodeficiency virus viral dynamics,…

Methodology · Statistics 2021-09-28 Fernanda L. Schumacher , Dipak K. Dey , Victor H. Lachos

The Conway-Maxwell-Poisson (CMP) or COM-Poison regression is a popular model for count data due to its ability to capture both under dispersion and over dispersion. However, CMP regression is limited when dealing with complex nonlinear…

Methodology · Statistics 2020-04-27 Suneel Babu Chatla , Galit Shmueli

This paper proposes the asymmetric linear double autoregression, which jointly models the conditional mean and conditional heteroscedasticity characterized by asymmetric effects. A sufficient condition is established for the existence of a…

Methodology · Statistics 2021-04-22 Songhua Tan , Qianqian Zhu

We develop methods for forming prediction sets in an online setting where the data generating distribution is allowed to vary over time in an unknown fashion. Our framework builds on ideas from conformal inference to provide a general…

Methodology · Statistics 2021-12-10 Isaac Gibbs , Emmanuel Candès

We present a distributionally robust optimization (DRO) approach for the transmission expansion planning problem, considering both long- and short-term uncertainties on the system demand and non-dispatchable renewable generation. On the…

Optimization and Control · Mathematics 2020-03-17 Alexandre Velloso , David Pozo , Alexandre Street

A nonparametric procedure for robust regression estimation and for quantile regression is proposed which is completely data-driven and adapts locally to the regularity of the regression function. This is achieved by considering in each…

Statistics Theory · Mathematics 2009-04-06 Markus Reiss , Yves Rozenholc , Charles-Andre Cuenod

The family of circular distributions based on non-negative trigonometric sums (NNTS), developed by Fern\'andez-Dur\'an (2004), is highly flexible for modeling datasets exhibiting multimodality and/or skewness. In this article, we extend the…

Methodology · Statistics 2025-11-19 Fernández-Durán , J. J. , Gregorio-Domínguez , M. M

A class of estimating functions is introduced for the regression parameter of the Cox proportional hazards model to allow unknown failure statuses on some study subjects. The consistency and asymptotic normality of the resulting estimators…

Statistics Theory · Mathematics 2007-08-22 Irene Gijbels , Danyu Lin , Zhiliang Ying

A common goal in statistics and machine learning is to learn models that can perform well against distributional shifts, such as latent heterogeneous subpopulations, unknown covariate shifts, or unmodeled temporal effects. We develop and…

Machine Learning · Statistics 2020-07-21 John Duchi , Hongseok Namkoong

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

Compositional data are met in many different fields, such as economics, archaeometry, ecology, geology and political sciences. Regression where the dependent variable is a composition is usually carried out via a log-ratio transformation of…

Methodology · Statistics 2017-06-08 Michail Tsagris , Connie Stewart

We introduce a generalized additive model for location, scale, and shape (GAMLSS) next of kin aiming at distribution-free and parsimonious regression modelling for arbitrary outcomes. We replace the strict parametric distribution…

Methodology · Statistics 2023-12-21 Sandra Siegfried , Lucas Kook , Torsten Hothorn
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