Arbeitspapier
Efficient design of experiment for exponential regression models
In this paper robust and efficient designs are derived for several exponential decay models. These models are widely used in chemistry, pharmacokinetics or microbiology. We propose a maximin approach, which determines the optimal design such that a minimum of the D-efficiencies (taken over a certain range for the nonlinear parameters) becomes maximal. Analytic solutions are derived if optimization is performed in the class of minimal supported designs. In general the optimal designs with respect to the maximin criterion have to be determined numerically and some properties of these designs are also studied.
- Language
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Englisch
- Bibliographic citation
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Series: Technical Report ; No. 2004,08
- Subject
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exponential regression model
D-optimal design
robust design
maximin design
pharmacokinetics
microbiology
Regression
Test
Theorie
- Event
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Geistige Schöpfung
- (who)
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Dette, Holger
Martinez Lopez, Ignacio
Ortiz Rodriguez, Isabel M.
Pepelyshev, Andrey
- Event
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Veröffentlichung
- (who)
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Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
- (where)
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Dortmund
- (when)
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2004
- Handle
- Last update
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10.03.2025, 11:45 AM CET
Data provider
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ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Dette, Holger
- Martinez Lopez, Ignacio
- Ortiz Rodriguez, Isabel M.
- Pepelyshev, Andrey
- Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
Time of origin
- 2004
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