How to Compare Different Range Estimations: A Symmetry-Based Approach

Authors

Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

2-2014

Comments

Technical Report: UTEP-CS-14-10a

Published in Proceedings of the American Society of Civil Engineers (ASCE) Second International Conference on Vulnerability and Risk Analysis and Management ICVRAM'2014 and Sixth International Symposium on Uncertainty Modelling and Analysis ISUMA'2014, Liverpool, UK, July 13-16, 2014, pp. 340-349.

Abstract

How to compare different range estimators for multivariate functions under uncertainty? To answer this question, we analyze which utility functions can be used for this task. Specifically, we: (1) introduce various invariance assumptions, (2) describe the class of all utility functions which satisfy these assumptions, and (3) show how the resulting utility functions can be used to compare different range estimators.