title: Excess of locally D-optimal designs and homothetic transformations
metadata.name: dc.contributor.author
metadata.value: Grigoriev, Yuri D.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Melas, Viatcheslav B.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shpilev, Petr V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-12-27T13:57:29Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-12-27T13:57:29Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Grigoriev Yu.D., Melas V.B., Shpilev P.V. Excess of locally D-optimal designs and homothetic transformations. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 4, pp. 552–562.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.403
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/8800
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper is devoted to the study of homothety’s influence on the number of optimal design support points
  under fixed values of regression model’s parameters. Two-dimension nonlinear by parameters Ayen Peters
  model used in analytical chemistry is considered. It is shown that the number of optimal design support
  points has to be more or equal to the number of parameters depending on certain conditions. The optimal
  designs with the minimum number of support points are constructed explicitly. Some numerical methods
  for construction designs with bigger number (such designs are suggested to call excess designs) are used.
  Refs 16. Figs 2. Tables 2.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (гранты 17-01-00267-а, 17-01-00161-а)
  и СПбГУ (проект «Актуальные проблемы планирования и анализа для регрессионных моделей»,
  6.38.435.2015).
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 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: excess design
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: locally D-optimal designs
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: homothetic transformation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Ayen—Peters model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: elimination method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Excess of locally D-optimal designs and homothetic transformations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03-Grigoriev.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/8800/1/03-Grigoriev.pdf
resources.format: Adobe PDF
resources.size: 467,85 kB