Sentence examples for conditional version from inspiring English sources

The result that follows is the conditional version of Theorem 2.1 of Shen et al. [3].

The result that follows is a conditional version of the well-known Hoeffding inequality (Hoeffding [15], Theorem 2).

In such case, the result is a conditional version of Theorem 3.1 of Shen et al. [3].

Next, we provide a result, which is a conditional version of Theorem 3.2 of Shen et al. [3].

The optimal measurements have some complementary relation to each other and to the available data, moreover, symmetric informationally complete systems appear, containing a new, conditional version.

In order to bound the p-variation norm of the stochastic integral, we apply the conditional version of the Burkholder Davis Gundy inequality for p-variation, see (5).

Conditional versions of the [IS Verification] principle may be used to insist that the carrier situation must meet certain background conditions.

Conditional versions of the test statistic designed to cope with random time effects or spatial error correlation show empirical size distortions in case the source of contemporaneous error correlation is misspecified.

Recently, various researchers have studied extensively the concepts of conditional independence and conditional association (see, e.g., Chow and Teicher [9], Majerak et al. [10], Roussas [11], and Prakasa Rao [12]) providing conditional versions of known results such as the generalized Borel-Cantelli lemma, the generalized Kolmogorov inequality, and the generalized Hájek-Rényi inequalities.

Data from the two different methane/air jet experimental databases is examined to understand the effects of spatial variations in the conditional averages of reactive scalars in the context of the Conditional Source-term Estimation (CSE) model, with particular emphasis on the double-conditional version, DCSE.

That hyper-conditional version of discussing racism must get tossed in the dumpster fire with the rest of 2016.