Extensions of linear regression models based on set arithmetic for interval data
Statistics Theory
2012-10-23 v1 Statistics Theory
Abstract
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.
Cite
@article{arxiv.1210.5881,
title = {Extensions of linear regression models based on set arithmetic for interval data},
author = {Angela Blanco-Fernández and Marta García-Bárzana and Ana Colubi and Erricos J. Kontoghiorghes},
journal= {arXiv preprint arXiv:1210.5881},
year = {2012}
}