CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2007, 23(1) 18-24 DOI:      ISSN: 1001-4268 CN: 31-1256

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Zhu Lixin
Wang Huiwen
Liu Qiang
PubMed
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A Test for Rigid Structure of the Grouped Points in High-Dimensional Data

Zhu Lixin, Wang Huiwen, Liu Qiang

Academy of Mathematics and Systems Science, Chinese Academy of Sciences; Department of Statistics and Actuarial Science, The University of Hong Kong. School of Economics and Management, BeiHang University. School of Mechanical Engineering and Automation, BeiHang University

Abstract��

In this paper, we propose a test to check whether in motion, the point groups of
high-dimensional longitudinal data keep a rigid structure and suggest a definition
of transmutation coefficient of the groups. In terms of testing the rigid structure,
the major characters of the motion of the groups can be handled so that the prediction for the motion in future can be expected. To demonstrate the rationale and potential use of the method, simulations and an analysis for the diversity of economic changes between the city group in the east China and the city group in the west China have been carried out.

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Received 1900-01-01 Revised 1900-01-01 Online:  
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