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There is another event a few years back that is a more discrete failure, the crash and sinking of the cruise ship Costa Concordia.
Two numerical methods for reliability assessment for composite microstructures under arbitrary loading are presented: a Monte Carlo (MC) technique that assigns discrete failure probabilities from local stresses and empirical failure probabilities, and a parametric probability product (PP) method where the joint probability of survival is from a product over a set of heterogeneous finite elements.
The high sampling rates of advanced AE systems enable detection of numerous discrete failure events within a volume and thus provide access to statistical descriptions of progressive collapse of systems with many interacting mechanical elements such as the fiber bundle model (FBM).
The authors studied many properties including classification of failure rate and applied this distribution in empirical modelling of two discrete failure time data related to computer break down and time to death of leukemia patients.
The baseline hazard is estimated at every discrete failure time k and the hazard function simplifies to: λ(t = k; x) = exp [ξ k + x' β] where ξ k is computed as a function of the conditional survival probability at time k, x is an vector of fixed explanatory variables considered to affect failure time, and β is a vector of regression coefficients.
The state's only legitimate economic role is often seen as patching up discrete failures in particular markets.
Plagiarism is usually defined as a discrete offense, a specific failure to give credit to a particular source.
For too long, exit interviews have been considered a discrete event focused on organizational failure.
The constitutional package within the coalition agreement can probably be seen as a discrete part of it and failure to deliver on any or all of it will not threaten the coalition.
Our model is a variation of the fiber bundle model, i.e., a model of a single fracture described as an interfacial failure along a discrete set of connecting fibers.
The algorithm is based on a discrete approximation of time-to-failure distributions of the elements and can work with any type of distributions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com