Why Superellipsoids: A Probability-Based Explanation

Authors

Pedro Barragan Olague, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

1-2016

Comments

Technical Report: UTEP-CS-16-08

Abstract

In many practical situations, it turns out that the set of possible values of the deviation vector is (approximately) a super-ellipsoid. In this paper, we provide a theoretical explanation for this empirical fact -- an explanation based on the natural notion of scale-invariance.