Resumen de Regression and correlation analyses of a linear relation between random intervals

María Teresa clementina López García , Manuel Francisco Montenegro Hermida , María Angeles Gil Alvarez , María Asunción Lubiano Gómez

• 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