Return to search

Exact D-optimal Designs for First-order Trigonometric Regression Models on a Partial Circle

Recently, various approximate design problems for low-degree trigonometric regression models on a partial circle have been solved. In this paper we consider approximate and exact optimal design problems for first-order trigonometric regression models without intercept on a partial circle. We investigate the intricate geometry of the non-convex exact trigonometric moment set and provide characterizations of its boundary. Building on these results we obtain a complete solution of the exact D-optimal design problem. It is shown that the structure of the optimal designs depends on both the length of the design interval and the number of observations.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0624111-092515
Date24 June 2011
CreatorsSun, Yi-Ying
ContributorsMong-Na Lo Huang, Fu-Chuen Chang, Chung Chang, Mei-Hui Guo
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624111-092515
Rightsunrestricted, Copyright information available at source archive

Page generated in 0.0021 seconds