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http://hdl.handle.net/11701/6943
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Guchenko, Roman A. | - |
dc.contributor.author | Melas, Viatcheslav B. | - |
dc.date.accessioned | 2017-07-18T16:29:21Z | - |
dc.date.available | 2017-07-18T16:29:21Z | - |
dc.date.issued | 2017-06 | - |
dc.identifier.citation | 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. | en_GB |
dc.identifier.other | 10.21638/11701/spbu01.2017.204 | - |
dc.identifier.uri | http://hdl.handle.net/11701/6943 | - |
dc.description.abstract | 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. | en_GB |
dc.description.sponsorship | Работа выполнена при поддержке СПбГУ (проект 6.38.435.2015) и РФФИ (проект 17-01-00161). | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 4 (62); Issue 2 | - |
dc.subject | experimental design | en_GB |
dc.subject | model discrimination | en_GB |
dc.subject | Chebyshev approximation | en_GB |
dc.subject | best approximation | en_GB |
dc.title | T-optimal designs for discrimination between rational and polynomial models | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 2 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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04-Guchenko.pdf | 1,21 MB | Adobe PDF | Просмотреть/Открыть |
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