Towards Combining Probabilistic and Interval Uncertainty in Engineering Calculations

Authors

Scott A. Starks, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow
Luc Longpre, The University of Texas at El PasoFollow
Martine Ceberio, The University of Texas at El PasoFollow
Gang Xiang
Roberto Araiza, The University of Texas at El PasoFollow
J. Beck
R. Kandathi
A. Nayak
R. Torres

Publication Date

7-2004

Comments

UTEP-CS-04-20.

Published in Proceedings of the Workshop on Reliable Engineering Computing, Savannah, Georgia, September 15-17, 2004, pp. 193-213.

Abstract

In many engineering applications, we have to combine probabilistic and interval errors. For example, in environmental analysis, we observe a pollution level x(t) in a lake at different moments of time t, and we would like to estimate standard statistical characteristics such as mean, variance, autocorrelation, correlation with other measurements. In environmental measurements, we often only know the values with interval uncertainty. We must therefore modify the existing statistical algorithms to process such interval data. Such modification are described in this paper.