Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Standardized maximin criterion for discrimination and parameter estimation of nested models. / Melas, Viatcheslav B. ; Guchenko , Roman ; Strashko, Vladislav .
в: Communications in Statistics: Simulation and Computation, Том 51, № 8, 2022, стр. 4314–4325.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Standardized maximin criterion for discrimination and parameter estimation of nested models
AU - Melas, Viatcheslav B.
AU - Guchenko , Roman
AU - Strashko, Vladislav
N1 - Publisher Copyright: © 2020 Taylor & Francis Group, LLC.
PY - 2022
Y1 - 2022
N2 - A new criterion for approximate designs called the standardized maximin criterion suited for both model discrimination and parameter estimation based on D- and D s-optimality criteria is introduced and studied. It is proved that the computation of an experimental design which is optimal with respect to this criterion can be reduced to the computation of multiple experimental designs which are optimal with respect to the simpler weighted criterion. Several numerical examples that describe the efficiency of the proposed criterion are provided.
AB - A new criterion for approximate designs called the standardized maximin criterion suited for both model discrimination and parameter estimation based on D- and D s-optimality criteria is introduced and studied. It is proved that the computation of an experimental design which is optimal with respect to this criterion can be reduced to the computation of multiple experimental designs which are optimal with respect to the simpler weighted criterion. Several numerical examples that describe the efficiency of the proposed criterion are provided.
KW - Experimental design
KW - Maximin problems
KW - Model discrimination
KW - Parameter estimation
KW - OPTIMUM DESIGNS
KW - EQUIVALENCE
KW - OPTIMAL EXPERIMENTAL-DESIGN
UR - http://www.scopus.com/inward/record.url?scp=85082338368&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/b4efc2d5-737d-3fdd-bebf-7c34f6f0ef3e/
U2 - 10.1080/03610918.2020.1741620
DO - 10.1080/03610918.2020.1741620
M3 - Article
VL - 51
SP - 4314
EP - 4325
JO - Communications in Statistics Part B: Simulation and Computation
JF - Communications in Statistics Part B: Simulation and Computation
SN - 0361-0918
IS - 8
ER -
ID: 52811346