title: Study of the excess property of the L-optimal design for the Laible model
metadata.name: dc.contributor.author
metadata.value: Melas, Vyacheslav B.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shpilev, Petr V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-10-20T16:35:30Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-10-20T16:35:30Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Melas V.B., Shpilev P.V. Study of the excess property of the L-optimal design for the Laible model. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 3, pp. 495–505. https://doi.org/10.21638/spbu01.2022.310 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.310
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/38307
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: For a rational two-dimensional nonlinear in parameters Laible model used in analytical
  chemistry, the problem of constructing L-optimal designs is investigated. It is shown that
  there are two types of optimal designs for this model: saturated (i. e., designs with the number of support points equal to the number of model parameters) and excess (i. e.,
  designs with the number of support points greater than the number of model parameters)
  and that with some homothetic transformations of the design space, locally L-optimal
  designs can change the type from saturated to excess and vice versa. An analytical solution
  to the problem of finding the dependence between the number of the optimal design support
  points and the values of the model parameters based on the application of a functional
  approach is proposed. The L-efficiency of D-optimal designs is investigated.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00096-a).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9 (67); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: L-optimal designs
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: L-efficiency
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimal designs for estimating the individual coefficients
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: rational regression models
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Laible model
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Study of the excess property of the L-optimal design for the Laible model
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 495-505.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/38307/1/495-505.pdf
resources.format: Adobe PDF
resources.size: 970,36 kB