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Related papers: Variable selection in doubly truncated regression

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In this paper, we consider the classic measurement error regression scenario in which our independent, or design, variables are observed with several sources of additive noise. We will show that our motivating example's replicated…

Applications · Statistics 2012-07-10 David J. Biagioni , Ryan Elmore , Wesley Jones

Time series of counts occurring in various applications are often overdispersed, meaning their variance is much larger than the mean. This paper proposes a novel variable selection approach for processing such data. Our approach consists in…

Methodology · Statistics 2023-07-04 Marina Gomtsyan

We propose a computationally efficient estimator, formulated as a convex program, for a broad class of non-linear regression problems that involve difference of convex (DC) non-linearities. The proposed method can be viewed as a significant…

Machine Learning · Statistics 2019-04-01 Sohail Bahmani

In this paper, we review and apply several approaches to model selection for analysis of variance models which are used in a credibility and insurance context. The reversible jump algorithm is employed for model selection, where posterior…

Applications · Statistics 2010-12-22 Garfield Brown , Winston Buckley

We consider the problem of model selection and estimation in situations where the number of parameters diverges with the sample size. When the dimension is high, an ideal method should have the oracle property [J. Amer. Statist. Assoc. 96…

Statistics Theory · Mathematics 2009-08-14 Hui Zou , Hao Helen Zhang

High-dimensional classification has become an increasingly important problem. In this paper we propose a "Multivariate Adaptive Stochastic Search" (MASS) approach which first reduces the dimension of the data space and then applies a…

Applications · Statistics 2010-10-08 Tian Siva Tian , Gareth M. James , Rand R. Wilcox

In high-dimensional model selection problems, penalized simple least-square approaches have been extensively used. This paper addresses the question of both robustness and efficiency of penalized model selection methods, and proposes a…

Methodology · Statistics 2011-07-06 Jelena Bradic , Jianqing Fan , Weiwei Wang

Sparse penalized quantile regression provides an effective framework for variable selection and robust estimation in high-dimensional data analysis. When ex planatory variables are organized into groups, achieving sparsity both within and…

Computation · Statistics 2026-04-23 Huayan Kou , Yuwen Gu , Yi Lian , Rui Zhang , Jun Fan

The Lasso (Least Absolute Shrinkage and Selection Operator) has been a popular technique for simultaneous linear regression estimation and variable selection. In this paper, we propose a new novel approach for robust Lasso that follows the…

Methodology · Statistics 2016-05-13 Esa Ollila

Two new methods are proposed for linear regression analysis for data with measurement errors. Both methods are designed to accommodate intrinsic scatter in addition to measurement errors. The first (BCES) is a direct extension of the…

Astrophysics · Physics 2009-10-28 Michael G. Akritas , Matthew A. Bershady

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…

Methodology · Statistics 2019-07-03 Fatima-Zahra Jaouimaa , Il Do Ha , Kevin Burke

A regression method for proportional, or fractional, data with mixed effects is outlined, designed for analysis of datasets in which the outcomes have substantial weight at the bounds. In such cases a normal approximation is particularly…

Methodology · Statistics 2018-05-23 Colman Humphrey , Dan Swingley

We propose a method for incorporating variable selection into local polynomial regression. This can improve the accuracy of the regression by extending the bandwidth in directions corresponding to those variables judged to be are…

Statistics Theory · Mathematics 2010-06-18 Hugh Miller , Peter Hall

Sparse decision trees are one of the most common forms of interpretable models. While recent advances have produced algorithms that fully optimize sparse decision trees for prediction, that work does not address policy design, because the…

Machine Learning · Computer Science 2022-10-27 Ali Behrouz , Mathias Lecuyer , Cynthia Rudin , Margo Seltzer

In this paper, we develop a novel high-dimensional coefficient estimation procedure based on high-frequency data. Unlike usual high-dimensional regression procedures such as LASSO, we additionally handle the heavy-tailedness of…

Methodology · Statistics 2025-10-22 Minseok Shin , Donggyu Kim

This paper constructs a doubly robust estimator for continuous dose-response estimation. An outcome regression model is augmented with a set of inverse generalized propensity score covariates to correct for potential misspecification bias.…

Statistics Theory · Mathematics 2015-06-17 Daniel J. Graham , Emma J. McCoy , David A. Stephens

When we are interested in high-dimensional system and focus on classification performance, the $\ell_{1}$-penalized logistic regression is becoming important and popular. However, the Lasso estimates could be problematic when penalties of…

Machine Learning · Statistics 2020-06-12 Huamei Huang , Yujing Gao , Huiming Zhang , Bo Li

Penalized regression models are popularly used in high-dimensional data analysis to conduct variable selection and model fitting simultaneously. Whereas success has been widely reported in literature, their performances largely depend on…

Machine Learning · Statistics 2013-12-16 Wei Sun , Junhui Wang , Yixin Fang

In truncated linear regression, samples $(x,y)$ are shown only when the outcome $y$ falls inside a certain survival set $S^\star$ and the goal is to estimate the unknown $d$-dimensional regressor $w^\star$. This problem has a long history…

Machine Learning · Statistics 2026-05-25 Alexandros Kouridakis , Anay Mehrotra , Alkis Kalavasis , Constantine Caramanis

The accelerated failure time (AFT) models have proved useful in many contexts, though heavy censoring (as for example in cancer survival) and high dimensionality (as for example in microarray data) cause difficulties for model fitting and…

Methodology · Statistics 2013-12-10 Md Hasinur Rahaman Khan , J. Ewart H. Shaw