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Barker did conclude however that despite James's wish to leave the army, there was "no basis to establish that Ms James' disillusionment with the army or any dislike of the Deepcut regime was, on the balance of probabilities, such as to cause her to wish to die".
On the other hand, the consequences of lower severity have higher probabilities, such as safe events.
The models are specifically intended for use with reliability methods to compute event probabilities, such as seismic loss probabilities.
Very efficient sampling algorithms have been proposed to estimate rare event probabilities, such as Importance Sampling or Importance Splitting.
The HMM model parameters other than emission probabilities such as transition probabilities were copied from the baseline GMM-HMM.
The dynamics of subjective probabilities is often modeled using conditional probabilities, such as in Kooi (2003), Baltag and Smets (2008), and van Benthem et al. (2009).
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Even with a high probability such as and, the difference between and is less than five for and.
Engineering structures must be designed for an extremely low failure probability such as 10−6, which is beyond the means of direct verification by histogram testing.
For instance, in life safety applications the interest would be in ensuring a very small corresponding failure probability, such as one in a million.
Besides, since the error probability is the measure, anything that increases error probability such as noise or interference will push up the jammer's performance.
Therefore, some matrices have been proved to be incoherent enough with any fixed sparsifying basis Ψ with overwhelming probability, such as Gaussians or ±1 random matrices [16].
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