Optimal experimental designs for inverse quadratic regression models

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dc.creatorDette, H.
dc.creatorKiss, C.
dc.date2008-09-29
dc.date.accessioned2026-07-07T10:06:09Z
dc.date.available2026-07-07T10:06:09Z
dc.descriptionIn this paper optimal experimental designs for inverse quadratic regression models are determined. We consider two different 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 efficiencies of different optimal designs with respect to various optimality criteria are studied, and the efficiency of some commonly used designs are investigated.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0809.4938
dc.identifierhttp://arxiv.org/abs/0809.4938
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170227
dc.subjectMethodology
dc.subjectStatistics Theory
dc.titleOptimal experimental designs for inverse quadratic regression models
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