D-optimal designs for a multidimensional second-degree polynomial model with no intercept

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D-optimal designs for a multidimensional second-degree polynomial model with no intercept. / Shpilev, P.V.

In: Statistics and Probability Letters, Vol. 215, 01.12.2024.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{5632d8cf20574b2caf93039fa22d661e,

title = "D-optimal designs for a multidimensional second-degree polynomial model with no intercept",

abstract = "The paper investigates the problem of constructing D-optimal designs for the multidimensional second-degree polynomial model without an intercept term. On a hyperparallelepiped of the given dimensionality and symmetric with respect to the origin, D-optimal designs are found in explicit analytical form. {\textcopyright} 2024 Elsevier B.V.",

keywords = "D-optimal designs, Multidimensional polynomial model, Multivariate regression",

author = "P.V. Shpilev",

note = "Export Date: 19 October 2024 CODEN: SPLTD Сведения о финансировании: Russian Science Foundation, RSF Сведения о финансировании: 23-21-10013 Текст о финансировании 1: This work was supported by a joint grant from the Russian Science Foundation and the Saint Petersburg Science Foundation (Project No. 23-21-10013 , https://rscf.ru/project/23-21-10013/ ). Текст о финансировании 2: This work was supported by a joint grant from the Russian Science Foundation, Russia and the St. Petersburg Science Foundation (Project No. 23-21-10013, https://rscf.ru/project/23-21-10013/).",

year = "2024",

month = dec,

day = "1",

doi = "10.1016/j.spl.2024.110228",

language = "Английский",

volume = "215",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - D-optimal designs for a multidimensional second-degree polynomial model with no intercept

AU - Shpilev, P.V.

N1 - Export Date: 19 October 2024 CODEN: SPLTD Сведения о финансировании: Russian Science Foundation, RSF Сведения о финансировании: 23-21-10013 Текст о финансировании 1: This work was supported by a joint grant from the Russian Science Foundation and the Saint Petersburg Science Foundation (Project No. 23-21-10013 , https://rscf.ru/project/23-21-10013/ ). Текст о финансировании 2: This work was supported by a joint grant from the Russian Science Foundation, Russia and the St. Petersburg Science Foundation (Project No. 23-21-10013, https://rscf.ru/project/23-21-10013/).

PY - 2024/12/1

Y1 - 2024/12/1

N2 - The paper investigates the problem of constructing D-optimal designs for the multidimensional second-degree polynomial model without an intercept term. On a hyperparallelepiped of the given dimensionality and symmetric with respect to the origin, D-optimal designs are found in explicit analytical form. © 2024 Elsevier B.V.

AB - The paper investigates the problem of constructing D-optimal designs for the multidimensional second-degree polynomial model without an intercept term. On a hyperparallelepiped of the given dimensionality and symmetric with respect to the origin, D-optimal designs are found in explicit analytical form. © 2024 Elsevier B.V.

KW - D-optimal designs

KW - Multidimensional polynomial model

KW - Multivariate regression

UR - https://www.mendeley.com/catalogue/fa593745-7f25-3bd7-b76e-deb56e71d5e1/

U2 - 10.1016/j.spl.2024.110228

DO - 10.1016/j.spl.2024.110228

M3 - статья

VL - 215

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

ER -

ID: 126166063