Sentence examples for a moderate deviation from inspiring English sources

Lastly, robustness of AFSMC is verified against relatively large structural uncertainties as well as with respect to a moderate deviation in the uniform inlet flow velocity.

In this paper, we establish a central limit theorem and a moderate deviation principle for the positive diffusions, including the CEV and CIR models.

A moderate deviation principle as well as moderate and large deviation inequalities for a sequence of elements living inside a fixed Wiener chaos associated with an isonormal Gaussian process are shown.

Chen et al. also proved that the eigenvalue process satisfies a moderate deviation principle by using the powerful delta method in large deviation theory proposed by Gao and Zhao [9].

Four of the 231 item pairs had Q3 values that showed at least a moderate deviation of model fit: item pairs 9 and 14, 10 and 11, 17 and 19, had moderate values, whereas pair 12 and 18 showed a large value (0.39).

Cases with a complete unilateral CLJ and a minor or major form of cleft lip on either side (cases 4, 7, 9) had a moderate lateral deviation of the face and mandibles.

Budhiraja et al. [14] studied the moderate deviation principles for stochastic differential equations driven by a Poisson random measure in finite and infinite dimensions.

Wang and Zhang [13] established the moderate deviation principle for stochastic reaction-diffusion equations.

Like the large deviations, the moderate deviation problems arise in the theory of statistical inference quite naturally.

Computational simulation using GRI-MECH 3.0 showed satisfactory agreement with the experimental data up to 20 atm, and moderate deviation for pressure above 40 atm.

Second, we establish the moderate deviation principle (MDP) for the partial sum (sum_{t=1}^{n} N_{t}) generated by the Poisson (operatorname{ARCH}(1)) process ({N_{t} }) defined in (1.2).