Sentence examples for using the above estimation from inspiring English sources

Now, using the above estimation (3.16 - 3.18) and Lemma 3.7, we obtain begin{aligned}[b] mathbb{E}sup_{0 leq t leq u} big| Xi_{1}(t big| ^{2p}&leq C delta + C_{alpha,T} delta^{2alpha} +C_{T} frac{epsilon}{delta} &leq C_{alpha,T}delta^{2alpha} +C_{T} frac{epsilon}{delta}. end{aligned} (3.19).

Using the above two-stage estimation method, the 95% confidence interval depends on the assumption of independence of R+ and R −, which is not strictly true and may cause overestimation or underestimation of the standard error.

Otherwise, estimation of ATE using the above equation is not possible since we do not observe E (Y0|D = 1) though we do observe E (Y1|D = 1) and (E (Y0|D = 0).

Finally, a mathematical model was developed for rapid estimation of energy saving potential using the above key factors.

For the overlapping region, we used SS sites in the above estimation of ω values for ENSG00000214248, because there was no substitution at NS sites.

The complex estimation system, based on the above estimation methods and algorithms, was developed to be implemented using virtual instrumentation.

The bid randomization technique is finally used to develop an algorithm for exploration and exploitation of an auction-based network, furnishing a solution to the above estimation subproblem.

For a grid of λ and each bootstrap sample b, the functions of each predictor j are estimated as described above using the corresponding estimation set of each b.

Using the assumptions above, the estimation error ε is zero mean and Gaussian with covariance matrix C ε = σ n 2 X H X - 1 [14].

The allele count data was analysed using the relatedness estimation methods discussed above.

Using the threshold estimation method described above, a treatment threshold was calculated for each of the 56 remaining physicians using ordinal regression as described in Methods.