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In this work, we develop a parallel minimum action method for small random perturbations of Navier Stokes equations to solve the optimization problem given by the large deviation theory.
By the large deviation technique [7] (24).
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Our strategy is to determine mutual information of interactions using kernel density estimators based on an unbiased cross-validation [ 31- 33] estimation of kernel bandwidths and to analyze statistical dependencies of nodes by selecting a threshold obtained by applying the large deviation theory [ 18] employed by ARACNE [ 30].
By using the large deviation principle to study the buffers' congestion, we provide a lower upper bound on the buffers overflow probabilities.
The users' queue priority is based on the remaining life time or the queue overflow probability which is calculated by applying the large deviation principle.
The overflow probability estimation model is derived by applying the large deviation principle [24], which incorporates both the queue fullness and its variation.
To test whether the simpler model was correct and the larger deviation was induced by chance, an F-test of nested models can be used in which the fits of two models are compared.
The joint m.g.f. of (S_{1n}+S_{2n}-npi_{1}-npi_{2}) is (c_{n} t,t)), and the expression for adjustment coefficient function is (c t,t)), then, by the univariate large deviations theory proposed by Glynn and Whitt [20], we get the proof of the result.
There was a large interindividual variability in the speed of decrease, as reflected by the large standard deviation on k (Table 2).
The variation of EAGB between NFMPs was very high, as indicated by the large standard deviation of EAGB among conservation areas (Table 2).
Expression of the COX-2 target gene VEGF was highly variable as shown by the large standard deviation (Table 3).
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