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Conservative reasoning about epistemic uncertainty for the probability of failure on demand of a 1-out-of-2 software-based system in which one channel is “possibly perfect”

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Academic year: 2019

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Figure

Figure 1. The random variable (pfdA,pnpB) is defined on the unit square. Note that this figure has been exaggerated for clarity: in reality E would be very close to the origin
Figure 2. As Figure 1, except that now, in addition, the assessor is certain that pfdA does not exceed pAU and pnpB does not exceed pBU
Figure 3. Essentially as Figure 1. Here the probability mass associated with the area below the hyperbola, pfdApnpB= pApB, corresponds to the probability on the right hand side of equation (13)
Figure 4 An example where the marginal distributions for pfdA and pnpB in the first two plots are respectively Beta(1.5, 3150) and Beta(1.5, 315)

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