Robust Designs for Discriminating between Trigonometric Regression Models
- 作者: Melas V.B.1, Shpilev P.V.1, Nikolaeva O.Y.1
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隶属关系:
- St. Petersburg State University
- 期: 卷 52, 编号 1 (2019)
- 页面: 66-74
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1063-4541/article/view/186246
- DOI: https://doi.org/10.3103/S1063454119010096
- ID: 186246
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详细
This study is devoted to the issue of constructing robust T-optimal discriminating designs for two competing trigonometric regression models, which differ by three trigonometric functions at most. To solve this problem, we propose using a Bayesian and standardized maximin approaches. The robust T-optimal discriminating designs were found explicitly in a number of particular cases. In the general case, on account of the complexity of the optimization problem, the corresponding optimal designs are not easy to find and have to be determined numerically. The results are illustrated by means of several examples.
作者简介
V. Melas
St. Petersburg State University
编辑信件的主要联系方式.
Email: vbmelas@post.ru
俄罗斯联邦, St. Petersburg, 199034
P. Shpilev
St. Petersburg State University
编辑信件的主要联系方式.
Email: p.shpilev@spbu.ru
俄罗斯联邦, St. Petersburg, 199034
O. Nikolaeva
St. Petersburg State University
编辑信件的主要联系方式.
Email: torbeeva.olya@yandex.ru
俄罗斯联邦, St. Petersburg, 199034
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