title: L-optimal designs for a trigonometric Fourier regression model with no intercept
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: 2022-04-14T11:23:10Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-04-14T11:23:10Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Melas V.B., Shpilev P.V. L-optimal designs for a trigonometric Fourier regression model with no intercept. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 1, pp. 64–75.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.107
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/36155
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This paper is devoted to the problem of constructing L-optimal designs for a trigonometric Fourier regression model with no intercept. The paper considers diagonal matrices L with a combination of zeros and ones on the main diagonal. It is shown that in the case when L = I (i. e., when the unit matrix is chosen as the matrix L), the L-optimal design coincides with the D-optimal one. In the more general case (when some diagonal elements are equal to zero), it is shown that the dimension of the problem can be reduced if the optimal design is symmetric. The obtained results are illustrated by the example of the problem of constructing two L-optimal designs for the trigonometric model of order 12, which is reduced to the problem of constructing designs for models of order 3 and 4 correspondingly.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work is supported by the Russian Foundation for Basic Research (grant 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; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: L-optimal designs
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: c-optimal designs
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: trigonometric regression models with no intercept
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: L-optimal designs for a trigonometric Fourier regression model with no intercept
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 64-75.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/36155/1/64-75.pdf
resources.format: Adobe PDF
resources.size: 353,45 kB