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Explicit T-optimal designs for trigonometric regression models. / Шпилев, Петр Валерьевич; Мелас, Вячеслав Борисович.

в: Springer Proceedings in Mathematics and Statistics, Том 231, 2018, стр. 329-342.

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Harvard

Шпилев, ПВ & Мелас, ВБ 2018, 'Explicit T-optimal designs for trigonometric regression models', Springer Proceedings in Mathematics and Statistics, Том. 231, стр. 329-342. https://doi.org/10.1007/978-3-319-76035-3_23

APA

Шпилев, П. В., & Мелас, В. Б. (2018). Explicit T-optimal designs for trigonometric regression models. Springer Proceedings in Mathematics and Statistics, 231, 329-342. https://doi.org/10.1007/978-3-319-76035-3_23

Vancouver

Шпилев ПВ, Мелас ВБ. Explicit T-optimal designs for trigonometric regression models. Springer Proceedings in Mathematics and Statistics. 2018;231:329-342. https://doi.org/10.1007/978-3-319-76035-3_23

Author

Шпилев, Петр Валерьевич ; Мелас, Вячеслав Борисович. / Explicit T-optimal designs for trigonometric regression models. в: Springer Proceedings in Mathematics and Statistics. 2018 ; Том 231. стр. 329-342.

BibTeX

@article{f097b54e25c74b66968571e8dee2cca1,
title = "Explicit T-optimal designs for trigonometric regression models",
abstract = "This chapter devotes to the problem of constructing T-optimal discriminating designs for Fourier regression models which differ by at most three trigonometric functions. Here we develop the results obtained in a paper (Dette, Melas and Shpilev (2015). T-optimal discriminating designs for Fourier regression models. 1–17) [11] and give a few its generalizations. We consider in detail the case of discriminating between two models where the order of the larger one equals two. For this case, we provide explicit solutions and investigate the dependence of the locally T-optimal discriminating designs on the parameters of the larger model. The results obtained in the chapter can also be applied in classical approximation theory.",
keywords = "Linear optimality criteria, Model discrimination, T-optimal design, Trigonometric models",
author = "Шпилев, {Петр Валерьевич} and Мелас, {Вячеслав Борисович}",
note = "Funding Information: Acknowledgements The authors would like to thank Lyudmila Kuznetsova, who helped improving the text of this manuscript with considerable language expertise. This work has been supported by St. Petersburg State University (project “Actual problems of design and analysis for regression models,” 6.38.435.2015) and by Russian Foundation for Basic Research (project no. 17-01-00161-a).",
year = "2018",
doi = "10.1007/978-3-319-76035-3_23",
language = "English",
volume = "231",
pages = "329--342",
journal = "Springer Proceedings in Mathematics and Statistics",
issn = "2194-1009",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - Explicit T-optimal designs for trigonometric regression models

AU - Шпилев, Петр Валерьевич

AU - Мелас, Вячеслав Борисович

N1 - Funding Information: Acknowledgements The authors would like to thank Lyudmila Kuznetsova, who helped improving the text of this manuscript with considerable language expertise. This work has been supported by St. Petersburg State University (project “Actual problems of design and analysis for regression models,” 6.38.435.2015) and by Russian Foundation for Basic Research (project no. 17-01-00161-a).

PY - 2018

Y1 - 2018

N2 - This chapter devotes to the problem of constructing T-optimal discriminating designs for Fourier regression models which differ by at most three trigonometric functions. Here we develop the results obtained in a paper (Dette, Melas and Shpilev (2015). T-optimal discriminating designs for Fourier regression models. 1–17) [11] and give a few its generalizations. We consider in detail the case of discriminating between two models where the order of the larger one equals two. For this case, we provide explicit solutions and investigate the dependence of the locally T-optimal discriminating designs on the parameters of the larger model. The results obtained in the chapter can also be applied in classical approximation theory.

AB - This chapter devotes to the problem of constructing T-optimal discriminating designs for Fourier regression models which differ by at most three trigonometric functions. Here we develop the results obtained in a paper (Dette, Melas and Shpilev (2015). T-optimal discriminating designs for Fourier regression models. 1–17) [11] and give a few its generalizations. We consider in detail the case of discriminating between two models where the order of the larger one equals two. For this case, we provide explicit solutions and investigate the dependence of the locally T-optimal discriminating designs on the parameters of the larger model. The results obtained in the chapter can also be applied in classical approximation theory.

KW - Linear optimality criteria

KW - Model discrimination

KW - T-optimal design

KW - Trigonometric models

UR - http://www.scopus.com/inward/record.url?scp=85047958007&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-76035-3_23

DO - 10.1007/978-3-319-76035-3_23

M3 - Article

VL - 231

SP - 329

EP - 342

JO - Springer Proceedings in Mathematics and Statistics

JF - Springer Proceedings in Mathematics and Statistics

SN - 2194-1009

ER -

ID: 35200018