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Locally D- and c-optimal designs for Poisson and negative binomial regression models

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Abstract

The research on optimal experimental designs for nonlinear regression models is of great interest because these models are used to characterize chemical, biological or agricultural phenomena. Much of them involve an exponential decay. In this paper, locally D- and c-optimal designs are derived analytically for Poisson and negative binomial regression models.

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Authors and Affiliations

  1. University of Almería, Edificio CITE-III, Ctra. Sacramento s/n, La Cañada de San Urbano, 04120, Almería, Spain

    C. Rodríguez-Torreblanca

  2. Facultad de Ciencias, University of Salamanca, Pl. de los Caídos s/n, 37.008, Salamanca, Spain

    J. M. Rodríguez-Díaz

Authors
  1. C. Rodríguez-Torreblanca
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  2. J. M. Rodríguez-Díaz
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Correspondence to J. M. Rodríguez-Díaz.

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Rodríguez-Torreblanca, C., Rodríguez-Díaz, J.M. Locally D- and c-optimal designs for Poisson and negative binomial regression models. Metrika 66, 161–172 (2007). https://doi.org/10.1007/s00184-006-0103-6

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  • DOI: https://doi.org/10.1007/s00184-006-0103-6

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