## Publication Date

4-2018

## Abstract

In many practical applications, we are interested in the values of the quantities y_{1}, ..., y_{m} which are difficult (or even impossible) to measure directly. A natural idea to estimate these values is to find easier-to-measure related quantities x_{1}, ..., x_{n} and to use the known relation to estimate the desired values y_{i}. Measurements come with uncertainty, and often, the only thing we know about the actual value of each auxiliary quantity x_{i} is that it belongs to the interval [X_{i} − Δ_{i}, X_{i} + Δ_{i}], where X_{i} is the measurement result, and Δ_{i} is the upper bound on the absolute value of the measurement error Δ x_{i} = X_{i} − x_{i}. In such situations, instead of a single value of a tuple y = (y_{1}, ..., y_{m}), we have a range of possible values. In this paper, we provide calculus-based algorithms for computing this range.

## Comments

Technical Report: UTEP-CS-18-39

Published in

Mathematical Structures and Modeling, 2018, Vol. 46, pp. 118-124.