Uniqueness, consistency and optimality in spherical regression experiments

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• 作者：Shin ; Hwashin H. ; Takahara ; Glen K. ; Murdoch ; Duncan J.
• 关键词：Directional data ; Spherical regression ; Design of experiments ; Uniqueness ; Consistency ; Optimality
• 刊名：Statistics and Probability Letters
• 出版年：2001
• 出版时间：August 1, 2001
• 年：2001
• 卷：54
• 期：1
• 页码：61-65
• 全文大小：86.1 K

文摘

For designed experiments based on the spherical regression model of Chang (Ann. Statist. 14 (1986) 907) we provide results on the minimum number of covariate directions that are necessary and sufficient for uniqueness and consistency of least squares estimates and on minimizing confidence regions.