PROBABILITIES, INTERVALS, WHAT NEXT? EXTENSION OF INTERVAL COMPUTATIONS TO SITUATIONS WITH PARTIAL INFORMATION ABOUT PROBABILITIES

摘要

In many real-life situations, we are interested in the value of a physical quantity y that is difficult or impossible to measure directly. To estimate y, we find some easier-to-measure quantities x_1,... ,x_n which are related to y by a known relation y = f(x_1,...,x_n). Measurements are never 100% accurate; hence, the measured values x_i are different from x_i, and the resulting estimate y = f(x_1,...,x_n) is different from the desired value y = f(x_1,..., x_n). How different?