Sentence examples for unconditional case from inspiring English sources
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.
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.
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.
Development economists think that such so-called "unconditional cash transfers" might be a powerful and in some cases underutilized tool to help reduce poverty.
Some generalizations and comments to the two-locus, unconditional and conditional, cases are included as well.
Odds ratios (ORs) and 95% confidence intervals (CIs) for the variables of interest were calculated separately for adenocarcinoma and for squamous cell carcinoma compared with controls, and for squamous cell carcinoma cases compared with adenocarcinoma cases, using unconditional multiple logistic regression.
