It can ensure regularity and consistency in the handling of individual cases.
Conditions on the design are given to ensure regularity of the estimation problem, despite non-differentiability of the model's first partial derivatives (with respect to the covariate and model parameters).
Lederman proposed that, on average, populations tend to change their behaviour in concert; ensuring regularity can be observed in the relationship between mean consumption and levels of harmful consumption over time 8.
Solutions included working with the health facility to assign new staff to be trained, increasing the frequency of visits to the site with new staff, and putting systems in place to ensure regularity and predictability of essential supplies including fuel for transportation of specimens.
A two-level swapped network with n2 nodes is built of n copies of an n-node basis network using a simple rule for intercluster connectivity (node j in cluster i connected to node i in cluster j) that ensures its regularity, modularity, packageability, fault tolerance, and algorithmic efficiency.
The condition assumed a few lines above ensures the regularity of the lacunary statistical sequential method.
Therefore some additional assumptions on the coefficients is needed to ensure the regularity results.
We will show that the condition begin{aligned} partial _3varvec{u}in L^p(0,T;L^q(mathbb {R}^3)),quad frac{2}{p}+frac{3}{q}=2,quad frac{3sqrt{37}}{4}-3le qle 3 end{aligned} (10 could ensure the regularity of the solution.
This shows that the Hurst parameter H determines the conditions which ensure the regularity of the stochastic convolution and the existence of a random attractor generated by the mild solution for equation (1.3).
In the same paper, Fattorusso stressed that it is not possible to improve this result in such a way to achieve, for each solution u to the above system, the differentiability u ∈ L 2 ( - a, 0, H 2 ( B , ℝ N ) ), (1.2). if, preliminarily, is not ensured the regularity D i u ∈ L 4 ( - a, 0, L 4 ( B , ℝ N ) ), i = 1, …, n (1.3).
