Abstract
Traditionally, in science and engineering, measurement uncertainty is characterized by a probability distribution; however, often, we don’t know this probability distribution exactly, so we must consider classes of possible probability distributions. Interval computations deal with a very specific type of such classes: classes of all distributions which are located on a given interval. We show that in general, we need all closed convex classes of probability distributions.
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Ferson, S., Ginzburg, L., Kreinovich, V., Schulte, H. (2001). Interval Computations as a Particular Case of a General Scheme Involving Classes of Probability Distributions. In: Krämer, W., von Gudenberg, J.W. (eds) Scientific Computing, Validated Numerics, Interval Methods. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6484-0_29
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DOI: https://doi.org/10.1007/978-1-4757-6484-0_29
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