Sentence examples for unconditional cases from inspiring English sources

The scope of simulations spans uni-variate to multi-variate processes; uni-dimensional to multi-dimensional fields; Gaussian to non-Gaussian; stationary to non-stationary; conditional and unconditional cases.

Figure 1 illustrates graphically countries' production efficiency curves both for conditional and unconditional cases over the period 1980 2011.8 The results presented are based on countries' income classification and are obtained under the assumption of variable returns to scale (VRS).9 Figure 1a examines the original production efficiency scores over the examined period.

As in the unconditional case, we have to subdivide a conditional simplex into smaller ones.

However, the bound provided here allows us to prove the complete convergence, and in the unconditional case, under assumptions different from those of Theorem 3.3 of Shen et al. [3].

We present analytical expressions for the unconditional case by making use of the results of Riva et al. [Riva, M., Guadagnini, A., Neuman, S.P., Franzetti, S., 2001. Radial flow in a bounded randomly heterogeneous aquifer. Transport in Porous Media 45, 139 193.].

The theorem that follows gives a conditional exponential inequality for the partial sum of (mathcal{F} -acceptable random variables, under a moment condition, which, in the unconditional case is a condition appearing very F} -acceptablelarandomvariablesesunder(see, e.g., Nagaev [20] and Teicher [21]).

While the δ indicator is aimed at studying the shift between an unconditional case and a "sensitivity" one, here we compare two "conditioned" cases.

Some generalizations and comments to the two-locus, unconditional and conditional, cases are included as well.

Analyzing the partial decision procedure for the temporal projection problem that has been proposed by other authors, we notice that it fails to be complete for unconditional plans, a case where we have shown plan validation tractable.

It comes with an unconditional replacement guarantee in case Junior breaks it.

They were released on unconditional bail and the case will next be heard at crown court on 19 April.