Fuzzy Probability Distributions in Reliability Analysis, Fuzzy HPD-regions, and Fuzzy Predictive Distributions
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In reliability analysis there are different kinds of uncertainty present: variability, imprecision of lifetimes, model uncertainty concerning probability distributions, and uncertainty of a-priori information in Bayesian analysis. For the description of imprecise lifetimes so-called fuzzy numbers are suitable. In order to model the uncertainty of a-priori information fuzzy probability distributions are the most up-to-date mathematical structure.
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