TY - JOUR

T1 - A note on optimal designs for estimating the slope of a polynomial regression

AU - Dette, Holger

AU - Melas, Viatcheslav B.

AU - Shpilev, Petr

N1 - Funding Information:
The work of H. Dette has been supported in part by the German Research Foundation, DFG (SFB 823, Teilprojekt C2, Germany’s Excellence Strategy - EXC 2092 CASA - 390781972 ). The work of Viatcheslav Melas and Petr Shpilev was partly supported by Russian Foundation for Basic Research (project no. 20-01-00096 ).

PY - 2021/3

Y1 - 2021/3

N2 - In this note we consider the optimal design problem for estimating the slope of a polynomial regression with no intercept at a given point, say z. In contrast to previous work, we investigate the model on the non-symmetric interval.

AB - In this note we consider the optimal design problem for estimating the slope of a polynomial regression with no intercept at a given point, say z. In contrast to previous work, we investigate the model on the non-symmetric interval.

KW - Polynomial regression

KW - Slope estimation

KW - c-optimal designs

KW - Polynomial regression

KW - Slope estimation

KW - c-optimal designs

UR - http://www.scopus.com/inward/record.url?scp=85097223770&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/7e32c108-cfa5-34df-9b41-9590815668c8/

U2 - 10.1016/j.spl.2020.108992

DO - 10.1016/j.spl.2020.108992

M3 - Article

VL - 170

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

M1 - 108992

ER -