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

Viertl, Reinhard; Yeganeh, Shohreh Mirzaei

doi:10.1007/978-3-642-30278-7_9

Reinhard Viertl⁵ &
Shohreh Mirzaei Yeganeh⁵

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 285))

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Abstract

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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References

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Authors and Affiliations

Department of Statistics and Probability Theory, Vienna University of Technology, A-1040, Vienna, Austria
Reinhard Viertl & Shohreh Mirzaei Yeganeh

Authors

Reinhard Viertl
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Shohreh Mirzaei Yeganeh
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Correspondence to Reinhard Viertl .

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Editors and Affiliations

Intelligent Data Analysis & Graphical, Models Research Unit, European Centre for Soft Computing, C/ Gonzalo Gutierre, Mieres, 33600, Asturias, Spain
Christian Borgelt
, Departamento de Estadistica e I. O. y, Universidad de Oviedo, C/Calvo Sotelo, s/n, Oviedo, 33071, Spain
María Ángeles Gil
Instituto Superior Técnico, Department of Mechanical Engineering, Technical University Lisbon, Av. Rovisco Pais 1, Lisboa, 1049-001, Portugal
João M.C. Sousa
Labo. Microelectronique, Université Catholique de Louvain, place du Levant 3, Leuven, 1348, Belgium
Michel Verleysen

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Viertl, R., Yeganeh, S.M. (2013). Fuzzy Probability Distributions in Reliability Analysis, Fuzzy HPD-regions, and Fuzzy Predictive Distributions. In: Borgelt, C., Gil, M., Sousa, J., Verleysen, M. (eds) Towards Advanced Data Analysis by Combining Soft Computing and Statistics. Studies in Fuzziness and Soft Computing, vol 285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30278-7_9

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DOI: https://doi.org/10.1007/978-3-642-30278-7_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-30277-0
Online ISBN: 978-3-642-30278-7
eBook Packages: EngineeringEngineering (R0)

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