Sentence examples for the 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.

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.

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.

The Refugee Action Coalition called for people on Manus to be released, and said the Australian and PNG governments may be trying to head off a court case seeking the unconditional release of all detainees and their return to Australia.

The unconditional MGF of the SNR for or (special case: Rayleigh) is given as (33).

In the unconditional logistic regression analysis all controls, both to cases with malignant and benign brain tumour, were used so as to maximise the statistical power.

In individual matched case- control design bias arising from the unconditional analysis instead of conditional analysis.