Sentence examples for extend the analytic from inspiring English sources

By using the notion of asymptotic delayed log-likelihood ratio, we extend the analytic technique proposed by Liu [5] to the case of delayed sums.

Several other approaches were presented that extend the analytic abilities of mass spectrometry-based workflows.

For this analysis, we replicated and extended the analytic framework of Billings and Raven [7], using 2014 administrative data available from the Texas Medicaid program.

Saaty (2007) extended the analytic hierarchy process (AHP /analytic network process (ANP) to deal with time-dependent priorities and referred them as dynamic hierarchy process (DHP /dynamic network process (DNP).

In this paper, by using the notion of asymptotic log-likehood and the martingale convergence theorem, and extending the analytic technique proposed by Liu [9], Liu and Yang [7] to the case of discrete-time and continuous-state nonhomogeneous Markov chains, we obtain the strong deviation theorem for discrete-time and continuous-state nonhomogeneous Markov chains.

This paper extends the analytic redundancy technique, widely developed for linear systems, to the FDI of non-linear dynamic systems modeled by polynomial differential algebraic equations.The existence of parity relations is briefly recalled and a definition of D-detectability is introduced.

To explore the potential indirect vaccine benefits among non-vaccinated populations, we extended the analytic time horizon from 5 years to a lifetime.

In this paper, we update the analysis restricting to a more homogenous and valid dataset (discussed in more detail below in the Analytic approach), and extend the analysis to illustrate how per person operational costs varied in aggregate by: (i) Temporal characteristics – to assess how costs have changed over time.

This was done to extend the ID analytic properties to 2D.

Overall, it is shown, in particular, that the application of Lie group analysis allows one to extend the previous analytic results for the first order reactions to nth order ones.

Thus it would also be of interest to extend the elegant functional analytic treatment of localised states in bounded domains by Faugeras et al. [14] to incorporate imposed boundary conditions.