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Robust Multivariate Linear Regression Using the Student-t Distribution

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Title: Robust Multivariate Linear Regression Using the Student-t Distribution
Author: Piche, Robert
Abstract: This brief report documents the Matlab function MVSREGRESS for multivariate linear regression based on the Student-t distribution. Student-t regression is more robust (less sensitive to occasional extreme observations) than normal (gaussian) linear regression. The report describes the statistical model and the ECM algorithm used to compute the maximum a-posteriori estimate of the model parameters. Two examples are presented to illustrate the robustness of Student regression compared to Normal regression.
Issue date: 2011-05-31
URN: http://URN.fi/URN:NBN:fi:tty-201203301089
Language: en
Pages: 3 p.
University: Tampereen teknillinen yliopisto - Tampere University of Technology
Faculty: Luonnontieteiden ja ympäristötekniikan tiedekunta – Faculty of Science and Environmental Engineering
Department: Matematiikan laitos – Department of Mathematics
Copyright: This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited.

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piche_robust_multivariate_linear_regression.pdf 353.2Kb PDF View/Open
piche_example1.m 1.083Kb Unknown View/Open
piche_example2.m 2.430Kb Unknown View/Open
piche_mvsregress.m 2.226Kb Unknown View/Open

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