Research output: Contribution to journal › Article › peer-review
Random interpolation in the theory of experimental design. / Ermakov, Sergei M.
In: Computational Statistics and Data Analysis, Vol. 8, No. 1, 05.1989, p. 75-80.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Random interpolation in the theory of experimental design
AU - Ermakov, Sergei M.
N1 - Copyright: Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1989/5
Y1 - 1989/5
N2 - This work represents a survey of some results of the theory of random interpolation which enable us to set and to solve in some cases a problem of the robust design regression experiment (with respect to a systematic error). In case of a regression function being a linear combination of Haar functions it succeeds in solving the comparison problem of procedures interpolation by the method of least squares entirely. Obtained yields allow to construct randomized robust designs for the regression experiment of LSM estimators and to compare their goodness.
AB - This work represents a survey of some results of the theory of random interpolation which enable us to set and to solve in some cases a problem of the robust design regression experiment (with respect to a systematic error). In case of a regression function being a linear combination of Haar functions it succeeds in solving the comparison problem of procedures interpolation by the method of least squares entirely. Obtained yields allow to construct randomized robust designs for the regression experiment of LSM estimators and to compare their goodness.
KW - Random interpolation
KW - Regression experiment
KW - Robust design
UR - http://www.scopus.com/inward/record.url?scp=45349111172&partnerID=8YFLogxK
U2 - 10.1016/0167-9473(89)90068-6
DO - 10.1016/0167-9473(89)90068-6
M3 - Article
AN - SCOPUS:45349111172
VL - 8
SP - 75
EP - 80
JO - Computational Statistics and Data Analysis
JF - Computational Statistics and Data Analysis
SN - 0167-9473
IS - 1
ER -
ID: 74203066