title: Robust designs for discriminating between trigonometric regression models
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.contributor.author
metadata.value: Nikolaeva, Olga Yu.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T09:02:23Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T09:02:23Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Melas V.B., Shpilev P.V., Nikolaeva O.Yu. Robust designs for discriminating between trigonometric regression models. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 1, pp. 98–109.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638 /11701/spbu01.2019.107
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15540
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper is devoted to the problem of constructing robust Т-optimal discriminating experimental designs for two competing trigonometric regression models, which diﬀer by at most three trigonometric functions. To solve this problem we propose to use a Bayesian and standardized maximin approaches. In a number of special cases the robust T-optimal discriminating designs were found explicitly. In general case because of the complexity of the optimization problem, the corresponding optimal designs are not easy to ﬁnd and have to be determined numerically. The results are illustrated in several examples.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (грант № 17-01-00161-а).
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 6 (64); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: robust Т-optimal designs
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: standardized maximin designs
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Bayesian designs
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: trigonometric regression models
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: discriminating problems
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Robust designs for discriminating between trigonometric regression models
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 98-109.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15540/1/98-109.pdf
resources.format: Adobe PDF
resources.size: 366,14 kB