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On the Computational Methods in Non-linear Design of Experiments

In: Computational Mathematics and Variational Analysis

Author

Listed:
  • Christos P. Kitsos

    (West Attica University)

  • Amílcar Oliveira

    (Universidade Aberta and CEAUL)

Abstract

In this paper the non-linear problem is discussed, for point and interval computational estimation. For the interval estimation an adjusted formulation is discussed due to Beale’s measure of non-linearity. The non-linear experimental design problem is regarded when the errors of observations are assumed i.i.d. and normally distributed as usually. The sequential approach is adopted. The average-per-observation information matrix is adopted to the developed theoretical approach. Different applications are discussed and we provide evidence that the sequential approach might be the panacea for solving a non-linear optimal experimental design problem.

Suggested Citation

  • Christos P. Kitsos & Amílcar Oliveira, 2020. "On the Computational Methods in Non-linear Design of Experiments," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Computational Mathematics and Variational Analysis, pages 191-206, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-44625-3_11
    DOI: 10.1007/978-3-030-44625-3_11
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