Arbeitspapier
Optimal experimental designs for inverse quadratic regression models
In this paper optimal experimental designs for inverse quadratic regression models are determined. We consider two dfferent parameterizations of the model and investigate local optimal designs with respect to the c-, D-and E-criteria, which reflect various aspects of the precision of the maximum likelihood estimator for the parameters in inverse quadratic regression models. In particular it is demonstrated that for a sufficiently large design space geometric allocation rules are optimal with respect to many optimality criteria. Moreover, in numerous cases the designs with respect to the different criteria are supported at the same points. Finally, the effiiencies of different optimal designs with respect to various optimality criteria are studied, and the effiiency of some commonly used designs are investigated.
- Language
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Englisch
- Bibliographic citation
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Series: Technical Report ; No. 2007,37
- Subject
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rational regression models
optimal designs
Chebyshev systems
E-,c-,D-optimality
- Event
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Geistige Schöpfung
- (who)
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Dette, Holger
Kiss, Christine
- 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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2007
- Handle
- Last update
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10.03.2025, 11:46 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- Dette, Holger
- Kiss, Christine
- Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
Time of origin
- 2007
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