Standard

Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models. / Dette, Holger; Melas, Viatcheslav B.; Shpilev, Piter.

в: Annals of the Institute of Statistical Mathematics, Том 59, № 4, 2007, стр. 655-673.

Результаты исследований: Научные публикации в периодических изданиях › статья

Harvard

Dette, H, Melas, VB & Shpilev, P 2007, 'Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models', Annals of the Institute of Statistical Mathematics, Том. 59, № 4, стр. 655-673. <http://elibrary.ru/item.asp?id=12028412>

APA

Dette, H., Melas, V. B., & Shpilev, P. (2007). Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models. Annals of the Institute of Statistical Mathematics, 59(4), 655-673. http://elibrary.ru/item.asp?id=12028412

Vancouver

Dette H, Melas VB, Shpilev P. Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models. Annals of the Institute of Statistical Mathematics. 2007;59(4):655-673.

Author

Dette, Holger ; Melas, Viatcheslav B. ; Shpilev, Piter. / Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models. в: Annals of the Institute of Statistical Mathematics. 2007 ; Том 59, № 4. стр. 655-673.

BibTeX

@article{4f30816ff87d41d3a47c41458dc1ff65,
title = "Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models",
abstract = "In the common Fourier regression model we determine the optimal designs for estimating the coefficients corresponding to the lower frequencies. An analytical solution is provided which is found by an alternative characterization of c-optimal designs. Several examples are provided and the performance of the D-optimal design with respect to the estimation of the lower order coefficients is investigated. The results give a complete answer to an open question which was recently raised in the literature. {\textcopyright} 2006 The Institute of Statistical Mathematics, Tokyo.",
author = "Holger Dette and Melas, {Viatcheslav B.} and Piter Shpilev",
year = "2007",
language = "English",
volume = "59",
pages = "655--673",
journal = "Annals of the Institute of Statistical Mathematics",
issn = "0020-3157",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models

AU - Dette, Holger

AU - Melas, Viatcheslav B.

AU - Shpilev, Piter

PY - 2007

Y1 - 2007

N2 - In the common Fourier regression model we determine the optimal designs for estimating the coefficients corresponding to the lower frequencies. An analytical solution is provided which is found by an alternative characterization of c-optimal designs. Several examples are provided and the performance of the D-optimal design with respect to the estimation of the lower order coefficients is investigated. The results give a complete answer to an open question which was recently raised in the literature. © 2006 The Institute of Statistical Mathematics, Tokyo.

AB - In the common Fourier regression model we determine the optimal designs for estimating the coefficients corresponding to the lower frequencies. An analytical solution is provided which is found by an alternative characterization of c-optimal designs. Several examples are provided and the performance of the D-optimal design with respect to the estimation of the lower order coefficients is investigated. The results give a complete answer to an open question which was recently raised in the literature. © 2006 The Institute of Statistical Mathematics, Tokyo.

M3 - Article

VL - 59

SP - 655

EP - 673

JO - Annals of the Institute of Statistical Mathematics

JF - Annals of the Institute of Statistical Mathematics

SN - 0020-3157

IS - 4

ER -

ID: 5135520