Sentence examples for estimated analytically from inspiring English sources

With all five double sampling estimators, bias in estimates of means and standard errors (the latter estimated analytically or through bootstrapping) was generally small and consistent with theoretical expectations.

Up to now, both PDF of the faded signal and the dependent noise were estimated analytically.

By using any multivariate optimization algorithm, the set of hyperparameters θ can be estimated analytically.

Contouring errors are estimated analytically from differential path geometry and the kinematics of the machine.

The overall heat loss coefficients are also estimated analytically by cavity correlations.

The leak rate was also measured and the leak size was estimated analytically.

We also show how to estimate analytically the number of spikes resulting from any input time course in both models, obtaining results that compare well with direct numerical simulations.

In particular, a simple micromechanical approach was used to estimate analytically and from the 3D images the role of ridges and ordered domains on the mechanical properties of crumpled papers.

The basic assumption of the TPP model, i.e., that the pressure coefficient local peaks follow a Weibull distribution, was validated and was used to estimate analytically the peak factors' quantiles.

Thus, if S t, i is the association score for GO term t computed using genome i∈[1,…, n], then the overall association score for term t is defined as (1) The distribution of this score is not easy to estimate analytically due to the non-independence of the P-values being combined.

We describe how the BRMA normal model is estimated, and analytically consider the estimation of between-study correlation.