Extensions of linear regression models based on set arithmetic for interval data

Extensions of previous linear regression models for interval data are presented. A more flexible simple linear model is formalized. The new model may express cross-relationships between mid-points and spreads of the interval data in a unique equation based on the interval arithmetic. Moreover, exten...

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Published in:arXiv.org 2012-10
Main Authors: Blanco-Fernández, Angela, García-Bárzana, Marta, Colubi, Ana, Kontoghiorghes, Erricos J
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Language:English
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Interval arithmetic
Regression analysis
Regression models
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García-Bárzana, Marta
Colubi, Ana
Kontoghiorghes, Erricos J
description Extensions of previous linear regression models for interval data are presented. A more flexible simple linear model is formalized. The new model may express cross-relationships between mid-points and spreads of the interval data in a unique equation based on the interval arithmetic. Moreover, extensions to the multiple case are addressed. The associated least-squares estimation problem are solved. Empirical results and a real-life application are presented in order to show the applicability and the differences among the proposed models.
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subjects Interval arithmetic
Regression analysis
Regression models
title Extensions of linear regression models based on set arithmetic for interval data
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