Standard

L-Optimal Designs for a Trigonometric Fourier Regression Model with no Intercept. / Melas, V. B.; Shpilev, P. V.

в: Vestnik St. Petersburg University: Mathematics, Том 55, № 1, 01.03.2022, стр. 48-56.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Melas, VB & Shpilev, PV 2022, 'L-Optimal Designs for a Trigonometric Fourier Regression Model with no Intercept', Vestnik St. Petersburg University: Mathematics, Том. 55, № 1, стр. 48-56. https://doi.org/10.1134/S1063454122010095

APA

Melas, V. B., & Shpilev, P. V. (2022). L-Optimal Designs for a Trigonometric Fourier Regression Model with no Intercept. Vestnik St. Petersburg University: Mathematics, 55(1), 48-56. https://doi.org/10.1134/S1063454122010095

Vancouver

Melas VB, Shpilev PV. L-Optimal Designs for a Trigonometric Fourier Regression Model with no Intercept. Vestnik St. Petersburg University: Mathematics. 2022 Март 1;55(1):48-56. https://doi.org/10.1134/S1063454122010095

Author

Melas, V. B. ; Shpilev, P. V. / L-Optimal Designs for a Trigonometric Fourier Regression Model with no Intercept. в: Vestnik St. Petersburg University: Mathematics. 2022 ; Том 55, № 1. стр. 48-56.

BibTeX

@article{f01f47867abc40739cf3e0e7cf6b1404,
title = "L-Optimal Designs for a Trigonometric Fourier Regression Model with no Intercept",
abstract = "Abstract: 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 identity 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 zero), it is shown that the dimension of the problem can be reduced if the optimal design is symmetric. The results are illustrated by the example of the problem of constructing two L-optimal designs for the twelfth-order trigonometric model, which is reduced to the problem of constructing designs for third- and fourth-order models, correspondingly.",
keywords = "c-optimal designs, L-optimal designs, optimal designs for estimating individual coefficients, trigonometric regression models with no intercept",
author = "Melas, {V. B.} and Shpilev, {P. V.}",
year = "2022",
month = mar,
day = "1",
doi = "10.1134/S1063454122010095",
language = "English",
volume = "55",
pages = "48--56",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - L-Optimal Designs for a Trigonometric Fourier Regression Model with no Intercept

AU - Melas, V. B.

AU - Shpilev, P. V.

PY - 2022/3/1

Y1 - 2022/3/1

N2 - Abstract: 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 identity 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 zero), it is shown that the dimension of the problem can be reduced if the optimal design is symmetric. The results are illustrated by the example of the problem of constructing two L-optimal designs for the twelfth-order trigonometric model, which is reduced to the problem of constructing designs for third- and fourth-order models, correspondingly.

AB - Abstract: 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 identity 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 zero), it is shown that the dimension of the problem can be reduced if the optimal design is symmetric. The results are illustrated by the example of the problem of constructing two L-optimal designs for the twelfth-order trigonometric model, which is reduced to the problem of constructing designs for third- and fourth-order models, correspondingly.

KW - c-optimal designs

KW - L-optimal designs

KW - optimal designs for estimating individual coefficients

KW - trigonometric regression models with no intercept

UR - http://www.scopus.com/inward/record.url?scp=85131349584&partnerID=8YFLogxK

U2 - 10.1134/S1063454122010095

DO - 10.1134/S1063454122010095

M3 - Article

AN - SCOPUS:85131349584

VL - 55

SP - 48

EP - 56

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 119173598