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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, Volume 7, Issue 2, Pages 331–342
DOI: https://doi.org/10.21638/11701/spbu01.2020.215 (Mi vspua194) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Constructing c-optimal designs for polynomial regression with no intercept

V. B. Melas, P. V. Shpilev

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
Full-text PDF (435 kB) Citations (2)
DOI: https://doi.org/10.21638/11701/spbu01.2020.215
Abstract: The paper is devoted to the problem of constructing c-optimal design for polynomial regression with no intercept. A special case of $c = f'(z)$ is considered (i. e., the vector of derivatives of regression functions at some point $z$ is selected as the vector $c$). A brief review of the analytical results are available in the literature is given. An effective numerical method for constructing $f'(z)$-optimal designs is proposed in those cases when an analytical solution cannot be provided.
Keywords: c-optimal designs, $f'(z)$-optimal designs, optimal designs for estimating the slope, polynomial regression models with no intercept.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00096-а
The work is supported by Russian Foundation for Basic Research (grant N 20-01-00096-а).
Received: 03.11.2019
Revised: 13.11.2019
Accepted: 12.12.2019
English version:
Vestnik St. Petersburg University, Mathematics, 2020, Volume 7, Issue 2, Pages 223–231
DOI: https://doi.org/10.1134/S1063454120020120
Document Type: Article
UDC: 524.19
MSC: 62K05
Language: Russian
Citation: V. B. Melas, P. V. Shpilev, “Constructing c-optimal designs for polynomial regression with no intercept”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:2 (2020), 331–342; Vestn. St. Petersbg. Univ., Math., 7:2 (2020), 223–231
Citation in format AMSBIB
\Bibitem{MelShp20}
\by V.~B.~Melas, P.~V.~Shpilev
\paper Constructing c-optimal designs for polynomial regression with no intercept
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2020
\vol 7
\issue 2
\pages 331--342
\mathnet{http://mi.mathnet.ru/vspua194}
\crossref{https://doi.org/10.21638/11701/spbu01.2020.215}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2020
\vol 7
\issue 2
\pages 223--231
\crossref{https://doi.org/10.1134/S1063454120020120}
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    • This publication is cited in the following 2 articles:
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