Sentence examples for conditional versions from inspiring English sources
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.
Conditional versions of the [IS Verification] principle may be used to insist that the carrier situation must meet certain background conditions.
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.
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.
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].
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).
It is known that P^{mathcal{F}} Xgeqepsilon) leqfrac{E^{mathcal{F}}(X)}{epsilon } quad mbox{a.s.} (1) This inequality is a conditional version of Markov's inequality and is an tool for obtaining the results of this paper.
While the focus of the recent empirical literature mainly lies on the analysis of unconditional safety premiums and ex-post currency excess returns, I make an attempt to calculate the time-varying Swiss franc safety premium, based on the conditional version of an International Capital Asset Pricing Model.
