Sentence examples for convergence of measures from inspiring English sources

This property is equivalent to relative compactness in the topology of weak convergence of measures, and thus implies the existence of a convergent subsequence.

We also study stability of solutions with respect to the convergence of measures on the right-hand side of the equation.

The construct validity was examined by calculating the correlations across the four rat strains, supplemented with the PCA, to determine the convergence of measures that are presumed to tap the same construct, namely, emotional reactivity assessed in the OF, EPM and cLDB tests.

Bleimann et al. [1] proved that as for (the space of all bounded continuous functions on ) and give an estimate on the rate of convergence of measured with the second modulus of continuity of.

For this purpose, we introduce some type of functional convergence of smooth measures, which in fact is equivalent to the quasi-uniform convergence of associated potentials.

This is surprising given the high variability in impulsive behaviours that should make them ideal for investigating the convergence of impulsivity measures.

If X is compact, for any (pge 1) the function (W_p) is a distance over (mathcal {P}(X)) and the convergence with respect to this distance is equivalent to the weak convergence of probability measures.

23 Evaluation of comorbidity as a modifier of the association between older age and mortality showed a convergence of interaction measures – on both the relative and absolute scales – toward their null values.

According to the well-known fact that the weak convergence of probability measure is a metric concept (see [19]), we therefore need to show that, for any ξ ∈ D ( [ − τ, 0 ], H ), lim t → ∞ d L ( p ( ξ, t, ⋅ ), π = 0.

There seem at least three possible explanations for the lack of convergence within measures of cognitive control and defensive reactivity.

Given the lack of convergence within measures of cognitive control and defensive reactivity, the associations across constructs need to be interpreted with caution.