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函数变换缩小数据级比偏差效果的比较原则
引用本文:孙倩倩,魏勇.函数变换缩小数据级比偏差效果的比较原则[J].数学的实践与认识,2014(8).
作者姓名:孙倩倩  魏勇
作者单位:西华师范大学数学与信息学院;
基金项目:四川省应用基础研究项目(2008JY0112);四川省教育厅重点科研项目(2006A077);四川省留学人员科技活动择优资助项目(川人社函2010年32号)
摘    要:针对缩小序列级比偏差的单调变换,研究了在函数的和变换与每一个变换缩小级比偏差效果优劣的比较原则基础上证明了两函数之正线性和变换缩小级比偏差效果介于这两个函数缩小级比偏差效果之间.因此如果两函数之正线性和变换不比任何一个单独变换效果差,其实质是两函数商的比值是常数,即两函数变换缩小级比偏差效果一样好,并通过实例验证了结论.

关 键 词:灰色模型  级比偏差  光滑度  函数变换

The Comparison Principle of Function Transformation to Reduce the Class Ratio Dispersion Effect
Abstract:This paper point out the monotonic transformation which reduces the class ratio dispersion sequence level deviation than the deviation effect merits comparison on the basis of the principle of function and transform each transformation reduced level proved positive linear transform of the two functions reduced level than the deviation effect mediated the reduced level than the deviation effect between these two functions.Therefore,if the two functions of positive linear transformation than the effect of a single transformation,and its essence is the ratio of the two functions is constant,that the two functions transform the reduced level deviation effect than good,and verify the conclusion by examples.
Keywords:grey model  class ratio dispersion  smooth degree  function transformation
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