Reference : System reliability and weighted lattice polynomials
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Civil engineering
Security, Reliability and Trust
System reliability and weighted lattice polynomials
Dukhovny, Alexander mailto [San Francisco State University, San Francisco, USA > Mathematics Department]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Probability in the Engineering and Informational Sciences
Cambridge University Press
Yes (verified by ORBilu)
[en] lifetime models ; reliability ; weighted lattice polynomial ; discrete Sugeno integral ; probability generating function
[en] The lifetime of a system of connected units under some natural assumptions can be represented as a random variable Y defined as a weighted lattice polynomial of random lifetimes of its components. As such, the concept of a random variable Y defined by a weighted lattice polynomial of (lattice-valued) random variables is considered in general and in some special cases. The central object of interest is the cumulative distribution function of Y. In particular, numerous results are obtained for lattice polynomials and weighted lattice polynomials in case of independent arguments and in general. For the general case, the technique consists in considering the joint probability generating function of "indicator" variables. A connection is studied between Y and order statistics of the set of arguments.
University of Luxembourg - UL
F1R-CSC-PUL-08RMSD > RMSD > 01/04/2008 – 31/12/2011 > BISDORFF Raymond
Researchers ; Professionals ; Students

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