Sentence examples for weights in equation from inspiring English sources
(112) Thus Conjecture 1 means that, for estimators with variance ({v_{k} = b_{k}+C}), to sample the estimators using weights in equation (3) is better than using weights in equation (2).
As mentioned before, the values for the weights in Equation 1 are a direct translation of the operator policy.
However, the main computational burden of the CAWF filter comes next with the computation of the weights in Equation 6.
The multi-patch correlation model provides the values for (tilde {mathbf {R}}_{i}) and (tilde {mathbf {p}}_{i}), so that we may generate the weights in Equation 6.
For example, the kernel estimator computes the weights in equation (1) as w P ^ X i, P ^ X j = G P ^ X i − P ^ X j a N ∑ k G P ^ X k − P ^ X j a N (2).
Using the weights in equation (59) with (r = gamma), and applying Theorem 1, we obtain a similar result to equation (60), begin{aligned} Biggl( sum_{k=1}^{M} p_{k}^{beta} Biggr) Biggl( sum_{k=1}^{M} p_{k}^{gamma} Biggr) le M sum_{k=1}^{M} p_{k}^{beta+gamma}.
Hence, the selection of the optimal overall weight in equation 4 is important for the performance of BLUP|GA.
Using the linear regression equation for the correlation between transpulmonary EVLW measurement and postmortem lung weight in equation 1 (see Results), we calculated thermodilution EVLW values for normal lungs using the lung weight values reported in the literature.
Here we collected 129 Chinese cattle samples in Qinchuan, Jiaxian and Nanyang breeds (Additional file 1: Table S6), and evaluated the associations between CNV types and growth traits (including body height, body length, heart girth, hucklebone width, and body weight) in Equation 1.
where σ0 is a constant parameter used in combination with similarity values to control the heterogeneity of the weights as in Equation 20 and w m is a constant ensuring a minimum weight value.
The weights defined in Equation (2) can be implemented in any statistical software that handles time-dependent weights in the Cox model, such as the coxph function in R or the SAS PROC PHREG function.
