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Constructing probability distributions of uncertain variables in models of the performance of the Waste Isolation Pilot Plant: The 1990 performance simulations
Author(s) -
Michael J. Tierney
Publication year - 1990
Language(s) - English
Resource type - Reports
DOI - 10.2172/6127877
Subject(s) - spurious relationship , probability distribution , empirical probability , formalism (music) , entropy (arrow of time) , computer science , principle of maximum entropy , construct (python library) , statistics , mathematics , posterior probability , bayesian probability , art , musical , physics , quantum mechanics , visual arts , programming language
A five-step procedure was used in the 1990 performance simulations to construct probability distributions of the uncertain variables appearing in the mathematical models used to simulate the Waste Isolation Pilot Plant's (WIPP's) performance. This procedure provides a consistent approach to the construction of probability distributions in cases where empirical data concerning a variable are sparse or absent and minimizes the amount of spurious information that is often introduced into a distribution by assumptions of nonspecialist. The procedure gives first priority to the professional judgment of subject-matter experts and emphasizes the use of site-specific empirical data for the construction of the probability distributions when such data are available. In the absence of sufficient empirical data, the procedure employs the Maximum Entropy Formalism and the subject-matter experts' subjective estimates of the parameters of the distribution to construct a distribution that can be used in a performance simulation. 23 refs., 4 figs., 1 tab.

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