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Related papers: A Parameter-Centric View on Regression

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Discussion on "Regression by Composition" by Farewell, Daniel, Stensrud, and Huitfeldt.

Other Statistics · Statistics 2026-04-21 Ruixuan Zhao , Oliver Dukes , Linbo Wang , Lin Liu

We discuss the regression-by-composition framework of Farewell, Daniel, Stensrud and Huitfeldt, highlighting a key consequence of its sequential construction: order dependence. Reordering the flows may change the implied conditional…

Methodology · Statistics 2026-04-21 Mei Dong , Linbo Wang , Lin Liu , Oliver Dukes

Beginning with a discussion of R. A. Fisher's early written remarks that relate to dimension reduction, this article revisits principal components as a reductive method in regression, develops several model-based extensions and ends with…

Methodology · Statistics 2007-08-30 R. Dennis Cook

We provide a remedy for two concerns that have dogged the use of principal components in regression: (i) principal components are computed from the predictors alone and do not make apparent use of the response, and (ii) principal components…

Methodology · Statistics 2009-06-23 R. Dennis Cook , Liliana Forzani

In compositional data, an observation is a vector with non-negative components which sum to a constant, typically 1. Data of this type arise in many areas, such as geology, archaeology, biology, economics and political science amongst…

Methodology · Statistics 2015-11-25 Michail Tsagris

This paper proposes a new method and algorithm for predicting multivariate responses in a regression setting. Research into classification of High Dimension Low Sample Size (HDLSS) data, in particular microarray data, has made considerable…

Methodology · Statistics 2008-07-28 Inge Koch , Kanta Naito

Rejoinder to ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Bradley Efron , Trevor Hastie , Iain Johnstone , Robert Tibshirani

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Sanford Weisberg

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Berwin A. Turlach

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Robert A. Stine

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Saharon Rosset , Ji Zhu

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 David Madigan , Greg Ridgeway

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Jean-Michel Loubes , Pascal Massart

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Keith Knight

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Hemant Ishwaran

Compositional data are common in many fields, both as outcomes and predictor variables. The inventory of models for the case when both the outcome and predictor variables are compositional is limited and the existing models are difficult to…

Methodology · Statistics 2020-04-20 Jacob Fiksel , Scott Zeger , Abhirup Datta

We propose a supervised principal component regression method for relating functional responses with high dimensional predictors. Unlike the conventional principal component analysis, the proposed method builds on a newly defined expected…

Methodology · Statistics 2023-08-17 Xinyi Zhang , Qiang Sun , Dehan Kong

Regression analysis is a key area of interest in the field of data analysis and machine learning which is devoted to exploring the dependencies between variables, often using vectors. The emergence of high dimensional data in technologies…

Machine Learning · Statistics 2023-08-23 Jiani Liu , Ce Zhu , Zhen Long , Yipeng Liu

Rejoinder on Causal Inference Through Potential Outcomes and Principal Stratification: Application to Studies with ``Censoring'' Due to Death by D. B. Rubin [math.ST/0612783]

Statistics Theory · Mathematics 2007-06-13 Donald B. Rubin

Review of: Brigitte Le Roux and Henry Rouanet, Geometric Data Analysis, From Correspondence Analysis to Structured Data Analysis, Kluwer, Dordrecht, 2004, xi+475 pp.

Artificial Intelligence · Computer Science 2011-06-14 Fionn Murtagh
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