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The feasibility for the approximation error estimation via the complex-valued solutions is demonstrated for the Euler equations describing the compressible inviscid flow. The comparison with the equations for disturbances is performed that demonstrates the distinction from the holomorphic case that caused the approximation error order reducing. The...
In this article, we will construct an alternative Hartley-Ross unbiased ratio estimator for the population mean of a study variable when related auxiliary information is available. We will also present some efficiency comparisons and related results and give a numerical illustration.
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Reducing the number of spectral variables in a calibration problem often allows building simpler, and more accurate, models. It furthermore brings information about the relevant frequency ranges, for which an interpretation can be sought. This paper proposes a hierarchical clustering approach, which takes into account the target variable, to merge feature clusters. The method is based on the nearest neighbour estimator of mutual information. The method is illustrated on two real datasets.
