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BUILT-IN MATHEMATICA SYMBOL
BarlowProschanImportance
BarlowProschanImportance[rdist]
gives the Barlow-Proschan importances for all components in the ReliabilityDistribution rdist.
BarlowProschanImportance[fdist]
gives the Barlow-Proschan importances for all components in the FailureDistribution fdist.
Details
- The Barlow-Proschan importance for component i is the probability that the failure of component i coincides with the failure of the system.
- The Barlow-Proschan importance for component
is given by the expectation of Birnbaum importance for component 
using the 
component lifetime distribution. - The results are returned in the component order given in the distribution list in rdist or fdist.
Examplesopen all
Basic Examples (3)
Two components connected in series, with different lifetime distributions:
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The result is given in the same order as the distribution list in ReliabilityDistribution:
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Two components connected in parallel, with different lifetime distributions:
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Use fault tree-based modeling to define the system:
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