Estimation and experimental design in a linear regression model using prior information
W. Näther, J. Pilz (1980)
Applicationes Mathematicae
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W. Näther, J. Pilz (1980)
Applicationes Mathematicae
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C. Platt, Z. Paprzycki (1988)
Applicationes Mathematicae
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R. Zmyślony (1976)
Applicationes Mathematicae
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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.
Solev, V.N., Haghighi, F. (2004)
Journal of Mathematical Sciences (New York)
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Beniamin Goldys (1985)
Banach Center Publications
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Teresa Ledwina, Jan Mielniczuk (2010)
Applicationes Mathematicae
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The problem of estimating an unknown variance function in a random design Gaussian heteroscedastic regression model is considered. Both the regression function and the logarithm of the variance function are modelled by piecewise polynomials. A finite collection of such parametric models based on a family of partitions of support of an explanatory variable is studied. Penalized model selection criteria as well as post-model-selection estimates are introduced based on Maximum Likelihood...
J. Bartoszewicz (1977)
Applicationes Mathematicae
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Krzysztof B. Janiszowski, Paweł Wnuk (2016)
International Journal of Applied Mathematics and Computer Science
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An approach to estimation of a parametric discrete-time model of a process in the case of some a priori knowledge of the investigated process properties is presented. The knowledge of plant properties is introduced in the form of linear bounds, which can be determined for the coefficient vector of the parametric model studied. The approach yields special biased estimation of model coefficients that preserves demanded properties. A formula for estimation of the model coefficients is derived...
P. Mukhopadhyay (1986)
Metrika
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Jelena Bulatović, Alobodanka Janjić (1979)
Publications de l'Institut Mathématique
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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...
Arijit Chaudhuri, Tapabrata Haiti (1996)
Metrika
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Erichsen, Lars, Brockhoff, Per Bruun (2004)
Journal of Applied Mathematics and Decision Sciences
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S. Trybuła (1974)
Applicationes Mathematicae
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