Sentence examples for derived the consistency from inspiring English sources

they derived the consistency and asymptotic normality of the estimation.

We first derive the consistency condition via an auxiliary mean-field SDEs and a 3×2 mixed backward-forward stochastic differential equation (BFSDE) system.

I derive the consistency of OLS estimator (widehat {rho _{1}}) in Eq. (7), where the dependent variable has a measurement error due to using the proxy and the independent variable is generated from an auxiliary regression.

In this paper, we propose a method derived from the consistency condition, which is applicable to hyperbolic equations irrespective of coordinate systems.

From the comparison of the two different cutoffs, it can be derived that the consistency in gene expression profile is not good for the deceased patients' samples (OS = 1).

At least for IHD and non-IHD, additional support for a linear relationship between risk and low doses or low dose rates can be derived from the consistency of ERR per sievert between Japanese atomic-bomb survivors with moderate radiation doses at high dose rates (Shimizu et al. 2010; Yamada et al. 2004) and occupational cohorts with protracted exposures.

The model also assumes consistency between direct and indirect evidence: if we consider treatment b as the overall network baseline treatment, the treatment effects of j, k, etc. relative to treatment b, Θ jb, Θ kb, etc., are considered basic parameters, and the remaining contrasts, the functional parameters, are derived from the consistency equations Θ jk = Θ jb − Θ kb for every j, k ≠ b.

We also derived the fault parameters from the 60-s Rayleigh wave; these show high consistencies with those derived from the 100-s Rayleigh wave, but appear to underestimate slightly the fault parameters when using short-period surface waves.

The derived internal consistency (Cronbach's α 0.79 0.84) was consistent with previously reported values (Cronbach's α 0.76 to 0.89) [ 24].

Using a systems engineering methodology the developed model will be the one that guarantees the consistency and derives the different applications needed in every stage of the lifecycle, from simulation, to risk assessment or even documentation maintenance.

Our method has been derived directly from the consistency condition which is fourth-order accurate, and we have used properties of spline in compression function in derivation of the method.