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Exact(5)
This relation permits the model output variance σ2 to be decomposed into its input contributions σ2=∑iσi2+∑i
In order to quantitatively analyze the variance contributions by correlated input variables to the model output, variance based global sensitivity analysis (GSA) is analytically derived for models with correlated variables.
The W-main effect indices measure the average reduction of model output variance when the ranges of a set of inputs are reduced, and the total effect indices quantify the average residual variance when the ranges of the remaining inputs are reduced.
The importance of a given input factor X i can be measured via the so-called sensitivity index, which is defined as the fractional contribution to the model output variance due to the uncertainty in X i.
In this case, ∑ i = 1 k S = 1, and the first-order conditional variances of Eq. (14) are necessary in order to decompose the model output variance (Saisana et al., 2005).
Similar(55)
In the case of the VC approach, the linear mixed model output and variance components estimates are also provided.
It uses a periodic sampling approach and a Fourier transformation to decompose the variance of a model output into partial variances contributed by different model parameters.
The main idea of the proposed methodology is the utilization of experimental residence time distribution (RTD) measurements to (a) determine the contributions of feeding variability, powder segregation and RTD variability on output composition variance and (b) develop a predictive model of the output variance of a continuous mixer.
The identification of ARX models with constrained output variance in the presence of non-Gaussian distribution of measurements is proposed in this paper.
To clearly explore the contributions by the correlated inputs to the variance of model output, the general expressions of the variance contributions of the correlated inputs are firstly derived in this paper, which provide a general validation for the accurate connotations of these variance contributions.
The practical value of proposed robust algorithm for estimation of OE model parameters with constrained output variance is further increased by using an optimal input design.
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