title: T-optimal designs for discrimination between rational and polynomial models
metadata.name: dc.contributor.author
metadata.value: Guchenko, Roman A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Melas, Viatcheslav B.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-18T16:29:21Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-18T16:29:21Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Guchenko R.A., Melas V.B. T-optimal designs for discrimination between rational and polynomial models. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 2, pp. 208–219.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.204
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6943
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the current article the problem of constructing analytically experimental designs, optimal according
  to the popular criterion of T-optimality introduced by Atkinson and Fedorov in 1975, for discrimination
  between simple rational and polynomial regression models is considered. It is shown how the classical
  results of approximation theory can be utilized to achieve explicit formulas describing the behavior of
  support points and weights of T-optimal designs for different fixed prior parameter values. An example
  of a practical problem with rational and polynomial regression models is provided. Then the numerical
  calculation of the experimental designs, optimal according to the robust analogs of T-criterion, for the
  models in the example is briefly discussed. Refs 10. Fig. 1. Tables 3.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при поддержке СПбГУ (проект 6.38.435.2015) и РФФИ (проект 17-01-00161).
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 4 (62); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: experimental design
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: model discrimination
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Chebyshev approximation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: best approximation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: T-optimal designs for discrimination between rational and polynomial models
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 04-Guchenko.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6943/1/04-Guchenko.pdf
resources.format: Adobe PDF
resources.size: 1,21 MB