Regression and correlation analyses of a linear relation between random intervals

• Autores: María Teresa clementina López García , Manuel Francisco Montenegro Hermida , María Angeles Gil Alvarez , María Asunción Lubiano Gómez
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 10, Nº. 1, 2001, págs. 183-201
• Idioma: inglés
• DOI: 10.1007/bf02595831
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• Resumen

  • In this paper we develop regression and correlation analyses of a certain general linear relation between two random elements whose values are nonempty compact intervals. To this purpose, we first extend the least-squares method to deal with the involved random elements on the basis of a generalized metric defined on the space of the considered intervals. As a complementary study, a coefficient quantifying the strenght of the linear relation between the two random elements is also presented, and a discussion on the extreme values for this measure is carried out. A real-life example illustrates these studies