Fuzzy Probability Distributions in Reliability Analysis, Fuzzy HPD-regions, and Fuzzy Predictive Distributions

  • Reinhard ViertlEmail author
  • Shohreh Mirzaei Yeganeh
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 285)


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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Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Statistics and Probability TheoryVienna University of TechnologyViennaAustria

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