Absolute Bounds on the Mean of Sum, Product, Max, and Min: A Probabilistic Extension of Interval Arithmetic
Scott Ferson, Lev R. Ginzburg, Владик Крейнович, Jorge López · scholarworks - UTEP (The University of Texas at El Paso) · 2002
We extend the main formulas of interval arithmetic for different arithmetic operations x1*x2 to the case when, for each input xi, in addition to the interval [xi]=[xi-,xi+] of possible values, we also know its mean Ei (or an interval [Ei] of possible values of the mean), and we want to find the corresponding bounds for x1*x2 and its mean.