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
