Computing the minimal efficiency of designs by a differentiable approximation of -optimality criteria.
Bušová, Lenka (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Bušová, Lenka (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Krzysztof Fujarewicz (2010)
International Journal of Applied Mathematics and Computer Science
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Mathematical modeling of cell signaling pathways has become a very important and challenging problem in recent years. The importance comes from possible applications of obtained models. It may help us to understand phenomena appearing in single cells and cell populations on a molecular level. Furthermore, it may help us with the discovery of new drug therapies. Mathematical models of cell signaling pathways take different forms. The most popular way of mathematical modeling is to use...
Emil Horváth (1988)
Kybernetika
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Andrej Pázman (2011)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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We discuss, partly on examples, several intuitively unexpected results in a standard linear regression model. We demonstrate that direct observations of the regression curve at a given point can not be substituted by observations at two very close neighboring points. On the opposite, we show that observations at two distant design points improve the variance of the estimator. In an experiment with correlated observations we show somewhat unexpected conditions under which a design point...