Excess And Saturated D-optimal Designs For The Rational Model

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийиная часть книжной публикации

Выдержка

The problem of constructing nonsingular saturated optimal designs (i.e. optimal designs with the number of support points which is equal to the number of parameters) is quite important since the use of such designs allows to decrease experimental expenses. On the other hand, excess optimal designs (i. e. optimal designs with the number of support points which is greater than the number of parameters) are useful in practice too, since they can be used to verify the adequateness of the model. For a rational two-dimensional nonlinear in parameters model used in analytical chemistry, we investigate how homothetic transformations of the design space affect the number of support points in the optimal designs. We show that there exist two types of optimal designs: a saturated design and an excess design. The saturated optimal designs are constructed explicitly. Numerical methods for constructing excess optimal designs are used.
Язык оригиналаанглийский
Название основной публикации10th International Workshop on Simulation and Statistics
Подзаголовок основной публикацииWorkshop booklet
Страницы42
СостояниеОпубликовано - 2019
Событие10th International Workshop on Simulation and Statistics
- Salzburg, Австралия
Продолжительность: 2 сен 20196 сен 2019

Конференция

Конференция10th International Workshop on Simulation and Statistics
СтранаАвстралия
ГородSalzburg
Период2/09/196/09/19

Отпечаток

Saturated Design
D-optimal Design
Excess
Support Point
Model
Chemistry
Numerical Methods
Verify
Decrease

Цитировать

Shpilev, P. V., Grigoriev, Y. D., & Melas, V. B. (2019). Excess And Saturated D-optimal Designs For The Rational Model. В 10th International Workshop on Simulation and Statistics: Workshop booklet (стр. 42)
Shpilev, Petr Valerievich ; Grigoriev, Yuri Dmitrievich ; Melas, Viatcheslav Borisovich . / Excess And Saturated D-optimal Designs For The Rational Model. 10th International Workshop on Simulation and Statistics: Workshop booklet. 2019. стр. 42
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Shpilev, PV, Grigoriev, YD & Melas, VB 2019, Excess And Saturated D-optimal Designs For The Rational Model. в 10th International Workshop on Simulation and Statistics: Workshop booklet. стр. 42, Salzburg, Австралия, 2/09/19.

Excess And Saturated D-optimal Designs For The Rational Model. / Shpilev, Petr Valerievich ; Grigoriev, Yuri Dmitrievich; Melas, Viatcheslav Borisovich .

10th International Workshop on Simulation and Statistics: Workshop booklet. 2019. стр. 42.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийиная часть книжной публикации

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AB - The problem of constructing nonsingular saturated optimal designs (i.e. optimal designs with the number of support points which is equal to the number of parameters) is quite important since the use of such designs allows to decrease experimental expenses. On the other hand, excess optimal designs (i. e. optimal designs with the number of support points which is greater than the number of parameters) are useful in practice too, since they can be used to verify the adequateness of the model. For a rational two-dimensional nonlinear in parameters model used in analytical chemistry, we investigate how homothetic transformations of the design space affect the number of support points in the optimal designs. We show that there exist two types of optimal designs: a saturated design and an excess design. The saturated optimal designs are constructed explicitly. Numerical methods for constructing excess optimal designs are used.

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Shpilev PV, Grigoriev YD, Melas VB. Excess And Saturated D-optimal Designs For The Rational Model. В 10th International Workshop on Simulation and Statistics: Workshop booklet. 2019. стр. 42