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The white paper would also acknowledge some plans were conditional, to a greater or lesser extent, on successful talks with the UK.
The Euler (or gradient) principle, then, states that the capital to be allocated to each component of the portfolio has to be calculated as an expectation conditional to a rare event, which can be challenging to evaluate in practice.
Finally, to calculate the error probability Pe conditional to a channel realization in each of the previous cases, the following equation is used: P e = αQ β γ, (47).
Conditional to a phreatic eruption, some areas on the summit have a probability of 100% to experience an impact density larger than 0.01 clasts/m2 - these areas are larger, the stronger the eruption.
The probability of a phreatic eruption occurring at Ruapehu Crater Lake within the next month is about 10% and conditional to a phreatic eruption, large areas are likely to experience an impact density sufficient to threaten people present on the summit. 5.
For a very high single count rate of (R_{B}=3mbox{ kcps}), (Lambda_{mathit {SB}}) amounts to less than −0.5 dB,9 assuming that the basis change is conditional to a detection event which can simply be achieved electronically using a gate.
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The number of successes is then divided by 10,000 to obtain probabilities (conditional to an eruption scale and vent location).
Figure 11 shows the probabilities for areas to experience a ballistic impact density F>0.01 conditionalonditoonan to an eruption of Scale 2, 3 and 4, respectively.
Figure 9 shows hazard maps for the ballistic impact density at a probability of 1% conditional to an eruption of Scale 2, 3 and 4, respectively.
In these models, the discrete variables Y are modelled conditional to an unobservable liability that follows a proportional hazard model.
Each CON and FAT score was modelled as a discrete variable Y conditional to an unobservable underlying continuous variable T, referred to as liability.
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