Journal of East China Normal University(Natural Sc ›› 2009, Vol. 2009 ›› Issue (5): 127-137.

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Proof procedure of some theories in statistical analysis of global symmetry (Chinese)

Pan Changyuan1,Ma Hainan1, 2, Chen Xueping1,Zhang Yingshan1   

  1. 1.Deptment of Statistics and Actuarial Science,East China Normal University,Shanghai 200241,China; 2.Fundamentals Department,Polytechnic Zhejiang Industry College,Shaoxing Zhejiang 312000,China
  • Received:2008-12-12 Revised:2009-03-11 Online:2009-09-25 Published:2014-10-13
  • Contact: Pan Changyuan


This research guaranteed orthogonal symmetry demonstration to any system function,ensured the formula of demonstration to system function variance.They are the kernel and foundation stone of statistical analysis of global symmetry.By studying how these symmetry functions work in the whole system function,the symmetry of system function can be understood better.As illustrated by the examples,it showed the symmetry of system function clearly by using the Monte-Carlo calculated value of contribution rate as the global sensitivity index of symmetry function.

Key words: systems of orthogonal idempotents, symmetry functions, global statistical analysis, Class idempotent function, systems of orthogonal idempotents, symmetry functions, global statistical analysis

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