The adequacy of the approximations is tested using extensive Monte Carlo simulations while the practical utility is demonstrated in Part 2 of this series.
The adequacy of this approximation and its effect on the structural reliability are investigated.
The adequacy of this approximation is, however, influenced by model nonlinearity.
To evaluate the adequacy of the normal approximation under specific circumstances, in terms of cumulative distribution functions, we used a) the Berry-Esséen theorem and b) computation of the specific distributions.
The estimates obtained substantiate the assumption about adequacy of the one-mode approximation in a wide range of velocities; in particular, the relative error in the neighborhood of the velocity that results in the largest response is less than one percent.
Ultimately, the overall quality of the extracted covariance (i.e., the adequacy of the least-squares approximation, equivalent to the usual Determination Coefficient in a classic bivariate linear correlation analysis) is calculated as the achieved percentage of total possible squared covariance between the two sets of synthetic axes.
In demonstrating that their analysis is flawed, we conclude that the adequacy of the technical/biological replicate approximation remains an open research question.
Four levels of multi-sphere approximation for an axi-symmetric ellipsoidal particle were employed in DEM simulation to investigate the adequacy of multi-sphere approximation.
The adequacy of the models was primarily assessed by the Root Mean Squared Error of Approximation (RMSEA; Steiger & Lind, 1980, Browne & Cudeck, 1992) [ 20, 21].
Apparently, although it is reasonable to adjust accepted parameter values by using the actual distance d(S y obs), S y M [ 4, 13], whether such adjustment improves the approximation to the posterior depends on the specifics of each data set, including the adequacy of the chosen summary statistics.
