Fixed precision estimation of the parameters of a linear regression model with unknown covariance structure
H. Truszczyńska (1987)
Applicationes Mathematicae
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H. Truszczyńska (1987)
Applicationes Mathematicae
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Carine Jauberthie, Louise Travé-Massuyès, Nathalie Verdière (2016)
International Journal of Applied Mathematics and Computer Science
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Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, μ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-consistency are proposed to characterize these problems and...
R. Zmyślony (1976)
Applicationes Mathematicae
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C. Platt, Z. Paprzycki (1988)
Applicationes Mathematicae
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Štulajter, F. (1997)
Acta Mathematica Universitatis Comenianae. New Series
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Štulajter, F. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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W. Näther, J. Pilz (1980)
Applicationes Mathematicae
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Beniamin Goldys (1985)
Banach Center Publications
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Martínek, Josef, Kučera, Václav
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We present results on the estimation of unknown parameters in systems of ordinary differential equations in order to fit the output of models to real data. The numerical method is based on the nonlinear least squares problem along with the solution of sensitivity equations corresponding to the differential equations. We will present the performance of the method on the problem of fitting the output of basic compartmental epidemic models to data from the Covid-19 epidemic. This allows...
Lainiotis, D.G., Papaparaskeva, Paraskevas, Plataniotis, Kostas (1996)
Mathematical Problems in Engineering
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Jurjen Duintjer Tebbens, Ctirad Matonoha, Andreas Matthios, Štěpán Papáček (2019)
Applications of Mathematics
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A pharmacodynamic model introduced earlier in the literature for in silico prediction of rifampicin-induced CYP3A4 enzyme production is described and some aspects of the involved curve-fitting based parameter estimation are discussed. Validation with our own laboratory data shows that the quality of the fit is particularly sensitive with respect to an unknown parameter representing the concentration of the nuclear receptor PXR (pregnane X receptor). A detailed analysis of the influence...
Florea, Ioan, Zurgălău, Rareş (2002)
Acta Universitatis Apulensis. Mathematics - Informatics
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Cho, K.R., Cho, M.H., Szidarovszky, F., You, Y. (1997)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Erichsen, Lars, Brockhoff, Per Bruun (2004)
Journal of Applied Mathematics and Decision Sciences
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Tadeusz Bednarski (2016)
Discussiones Mathematicae Probability and Statistics
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Computationally attractive Fisher consistent robust estimation methods based on adaptive explanatory variables trimming are proposed for the logistic regression model. Results of a Monte Carlo experiment and a real data analysis show its good behavior for moderate sample sizes. The method is applicable when some distributional information about explanatory variables is available.
J. Bartoszewicz (1977)
Applicationes Mathematicae
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Hamzah, Nor Aishah, Yahaya, Daud (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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