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The error dynamics is represented by a multivariate nonlinear non-Gaussian system, for which new recursive relationships are proposed to formulate the joint probability density functions (JPDFs) of the residual variable in terms of the JPDFs of the noises and the faults.
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By replacing the unknown random factors of factor analysis with observed macroeconomic variables, the arbitrage pricing theory (APT) is recast as a multivariate nonlinear regression model with across-equation restrictions.
In this equation, η is the learning rate, and φ[f] is a multivariate nonlinear function (also called score function) for frequency bin f.
This is a multivariate nonlinear regression model.
The goodness of prediction for each set was quantified using a multivariate nonlinear coefficient of determination.
This meta-analysis was performed with a multivariate nonlinear mixed model.
A multivariate nonlinear mixed effect model is fitted to these published non-compartment PK parameters to estimate their compartment model PK parameters.
This paper presents a novel hybrid sensor array for heavy metal determination with self-calibration process by multivariate nonlinear regression (MNLR).
Experimental data were fitted by multivariate nonlinear regression models and optimum values of speed flow and temperature were obtained through mathematical analysis of the constructed models.
Furthermore, artificial neural network was a model which was broadly applied in multivariate nonlinear analysis recently [ 14] and could be a supplement of linear analysis.
This paper is concerned with the fault isolation (FI) problem for multivariate nonlinear non-Gaussian systems by using a novel filtering method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com