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Some explicit solutions of c-optimal design problems for polynomial regression with no intercept. / Dette, Holger; Melas, Viatcheslav B. ; Shpilev, Petr .

в: Annals of the Institute of Statistical Mathematics, 2020.

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Harvard

Dette, H, Melas, VB & Shpilev, P 2020, 'Some explicit solutions of c-optimal design problems for polynomial regression with no intercept', Annals of the Institute of Statistical Mathematics. https://doi.org/10.1007/s10463-019-00736-0

APA

Dette, H., Melas, V. B., & Shpilev, P. (2020). Some explicit solutions of c-optimal design problems for polynomial regression with no intercept. Annals of the Institute of Statistical Mathematics. https://doi.org/10.1007/s10463-019-00736-0

Vancouver

Dette H, Melas VB, Shpilev P. Some explicit solutions of c-optimal design problems for polynomial regression with no intercept. Annals of the Institute of Statistical Mathematics. 2020. https://doi.org/10.1007/s10463-019-00736-0

Author

Dette, Holger ; Melas, Viatcheslav B. ; Shpilev, Petr . / Some explicit solutions of c-optimal design problems for polynomial regression with no intercept. в: Annals of the Institute of Statistical Mathematics. 2020.

BibTeX

@article{1573d10954744d2287fd5a301bf5d165,
title = "Some explicit solutions of c-optimal design problems for polynomial regression with no intercept",
abstract = "In this paper, we consider the optimal design problem for extrapolation and estimation of the slope at a given point, say z, in a polynomial regression with no intercept. We provide explicit solutions of these problems in many cases and characterize those values of z, where this is not possible.",
keywords = "Extrapolation, Polynomial regression, Slope estimation, c-optimal designs",
author = "Holger Dette and Melas, {Viatcheslav B.} and Petr Shpilev",
note = "Dette, H., Melas, V.B. & Shpilev, P. Ann Inst Stat Math (2019). https://doi.org/10.1007/s10463-019-00736-0",
year = "2020",
doi = "https://doi.org/10.1007/s10463-019-00736-0",
language = "English",
journal = "Annals of the Institute of Statistical Mathematics",
issn = "0020-3157",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - Some explicit solutions of c-optimal design problems for polynomial regression with no intercept

AU - Dette, Holger

AU - Melas, Viatcheslav B.

AU - Shpilev, Petr

N1 - Dette, H., Melas, V.B. & Shpilev, P. Ann Inst Stat Math (2019). https://doi.org/10.1007/s10463-019-00736-0

PY - 2020

Y1 - 2020

N2 - In this paper, we consider the optimal design problem for extrapolation and estimation of the slope at a given point, say z, in a polynomial regression with no intercept. We provide explicit solutions of these problems in many cases and characterize those values of z, where this is not possible.

AB - In this paper, we consider the optimal design problem for extrapolation and estimation of the slope at a given point, say z, in a polynomial regression with no intercept. We provide explicit solutions of these problems in many cases and characterize those values of z, where this is not possible.

KW - Extrapolation

KW - Polynomial regression

KW - Slope estimation

KW - c-optimal designs

UR - http://www.scopus.com/inward/record.url?scp=85074864855&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/s10463-019-00736-0

DO - https://doi.org/10.1007/s10463-019-00736-0

M3 - Article

JO - Annals of the Institute of Statistical Mathematics

JF - Annals of the Institute of Statistical Mathematics

SN - 0020-3157

ER -

ID: 50668895