Fiducial intervals of restricted parameters and their applications

In practice, the unknown parameters are often restricted. This paper provides a general method for constructing the fiducial intervals of the restricted parameters. Applying the general method, the fiducial intervals are constructed for the location (scale)parameters and the difference (ratio) of two locations (scales) in a location (scale) family of distributions. The frequency properties of these intervals are verified. For a variance components model, the fiducial intervals for the three parameters of common interest are obtained. Their frequency properties are investigated theoretically and computationally.

作 者： LI Xinmin LI Guoying XU Xingzhong   作者單位： LI Xinmin(College of Mathematics and Information Sciences, Shandong University of Technology, Zibo 255049, China)

LI Guoying(Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100800, China)

XU Xingzhong(Department of Mathematics, Beijing Institute of Technology, Beijing 100801, China) 

刊 名： 中國科學A輯（英文版）  SCI 英文刊名： SCIENCE IN CHINA (MATHEMATICS)  年，卷(期)： 2005 48(11)  分類號： O1  關(guān)鍵詞： restricted parameter space   fiducial interval   frequency property   variance components  

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