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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 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).
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 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.
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The state's only legitimate economic role is often seen as patching up discrete failures in particular markets.
In particular, discrete 3D failures are likely for intermediate scales of fluctuation and, in this case, reliability is a function of slope length.
Discrete-time failure analysis was used to model the effect of cumulative drug exposure on hip fracture during 1999 2008.
The terms for ever-exposure and cumulative exposure in the discrete-time failure model can be given a visual interpretation in this plot, which superimposes the regression line for the linear effect of cumulative exposure (x) (see Fig. 1 legend).
This December, however, he has returned on a private visit which is evidence of the discrete recognition of failure.
The scientific advance which improved defining debris flow risk was the recognition that nearly all post-fire debris flows are initiated through runoff-dominated erosion by surface overland flow rather than infiltration-triggered failure mobilizing discrete landslide masses (Cannon [2001]; Cannon et al. [2003]; Cannon and Gartner [2005]; Parise and Cannon [2012]).
Follman and Albert [ 24] use a Dirichlet prior distribution for describing the probabilities of failure at discrete times.
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