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The most widely used method for finding relationships between several quantities is multiple regression. This however is restricted to a single dependent variable. We present a more general method which allows models to be constructed with…

统计理论 · 数学 2011-09-06 Chris Tofallis

Multiple matrix sampling is a survey methodology technique that randomly chooses a relatively small subset of items to be presented to survey respondents for the purpose of reducing respondent burden. The data produced are missing…

统计方法学 · 统计学 2017-10-03 Stanislav Kolenikov , Heather Hammer

In genetic studies, not only can the number of predictors obtained from microarray measurements be extremely large, there can also be multiple response variables. Motivated by such a situation, we consider semiparametric dimension reduction…

统计方法学 · 统计学 2013-09-25 Heng Lian , Shujie Ma

We consider a parametric modelling approach for survival data where covariates are allowed to enter the model through multiple distributional parameters, i.e., scale and shape. This is in contrast with the standard convention of having a…

统计方法学 · 统计学 2021-11-17 Fatima-Zahra Jaouimaa , Il Do Ha , Kevin Burke

Subset selection in multiple linear regression aims to choose a subset of candidate explanatory variables that tradeoff fitting error (explanatory power) and model complexity (number of variables selected). We build mathematical programming…

机器学习 · 统计学 2020-09-04 Young Woong Park , Diego Klabjan

In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

统计理论 · 数学 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

Given data y(n) and p(n)covariates x(n) one problem in linear regression is to decide which if any of the covariates to include. There are many articles on this problem but all are based on a stochastic model for the data. This paper gives…

统计方法学 · 统计学 2017-10-06 Laurie Davies

The paper considers linear regression problems where the number of predictor variables is possibly larger than the sample size. The basic motivation of the study is to combine the points of view of model selection and functional regression…

统计理论 · 数学 2012-02-24 Alois Kneip , Pascal Sarda

We propose an extensive simulation study to compare some variable selection procedures in a high-dimensional framework. Assuming that the relationship between the actives variables and the response variable is linear, the high-dimensional…

应用统计 · 统计学 2025-03-21 Perrine Lacroix , Mélina Gallopin , Marie-Laure Martin

We propose new methods for multivariate linear regression when the regression coefficient matrix is sparse and the error covariance matrix is dense. We assume that the error covariance matrix has equicorrelation across the response…

统计方法学 · 统计学 2025-08-13 Daeyoung Ham , Bradley S. Price , Adam J. Rothman

We consider the problem of variable selection in Bayesian multivariate linear regression models, involving multiple response and predictor variables, under multivariate normal errors. In the absence of a known covariance structure,…

统计方法学 · 统计学 2025-07-25 Joyee Ghosh , Xun Li

For regression model selection via maximum likelihood estimation, we adopt a vector representation of candidate models and study the likelihood ratio confidence region for the regression parameter vector of a full model. We show that when…

统计理论 · 数学 2024-04-09 Min Tsao

Multimodal regression estimation methods are introduced for regression models involving circular response and/or covariate. The regression estimators are based on the maximization of the conditional densities of the response variable over…

统计方法学 · 统计学 2024-01-10 María Alonso-Pena , Rosa M. Crujeiras

The paper considers variable selection in linear regression models where the number of covariates is possibly much larger than the number of observations. High dimensionality of the data brings in many complications, such as (possibly…

统计方法学 · 统计学 2016-11-29 Haeran Cho , Piotr Fryzlewicz

Multi-parameter regression (MPR) modelling refers to the approach whereby covariates are allowed to enter the model through multiple distributional parameters simultaneously. This is in contrast to the standard approaches where covariates…

统计方法学 · 统计学 2019-07-03 Fatima-Zahra Jaouimaa , Il Do Ha , Kevin Burke

In the field of materials science and engineering, statistical analysis and machine learning techniques have recently been used to predict multiple material properties from an experimental design. These material properties correspond to…

统计方法学 · 统计学 2022-07-15 Keisuke Teramoto , Kei Hirose

In this paper, we are concerned with how to select significant variables in semiparametric modeling. Variable selection for semiparametric regression models consists of two components: model selection for nonparametric components and…

统计理论 · 数学 2008-12-18 Runze Li , Hua Liang

We develop and apply an approach for analyzing multi-curve data where each curve is driven by a latent state process. The state at any particular point determines a smooth function, forcing the individual curve to switch from one function…

统计方法学 · 统计学 2021-12-24 Camila P. E. de Souza , Nancy E. Heckman , Helena Xu

Multivariate regression model is a natural generalization of the classical univari- ate regression model for fitting multiple responses. In this paper, we propose a high- dimensional multivariate conditional regression model for…

机器学习 · 统计学 2016-11-26 Junhui Wang

Local variable selection aims to test for the effect of covariates on an outcome within specific regions. We outline a challenge that arises in the presence of non-linear effects and model misspecification. Specifically, for common…

统计方法学 · 统计学 2024-08-02 David Rossell , Arnold Kisuk Kseung , Ignacio Saez , Michele Guindani
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