| 累积法GM(0,N)模型的病态性研究 |
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| 引用本文： | 王晓东,薛春善.累积法GM(0,N)模型的病态性研究[J].周口师范学院学报,2007,24(5):43-45. |
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| 作者姓名： | 王晓东 薛春善 |
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| 作者单位： | 1. 郑州航空工业管理学院,数理系,郑州,450015
2. 周口师范学院,数学系,河南,周口,466001 |
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| 基金项目： | 郑州航空工业管理学院校科研和教改项目 |
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| 摘 要： | 为了解决GM（0，N）模型中存在的病态性问题，引入累积法对GM（0，N）模型进行了参数估计，给出了新的参数估计公式.该方法避免了采用累加法时复杂的矩阵计算，降低了计算量.利用数乘变换解决了该方法在参数估计中的严重病态性问题，证明数乘变换不改变模型的发展系数及精度.通过实例分析表明累积法GM（0，N）模型是一种值得广泛推广的模型.
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| 关 键 词： | 累积法 GM(0 N)模型 病态性 数乘变换 |
| 文章编号： | 1671-9476（2007）05-0043-03 |
| 修稿时间： | 2007-05-02 |
Research on morbidity problem of accumulating mothod GM(0, N) model |
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| WANG Xiao-dong,XUE Chun-shan.Research on morbidity problem of accumulating mothod GM(0, N) model[J].Journal of Zhoukou Normal University,2007,24(5):43-45. |
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| Authors: | WANG Xiao-dong XUE Chun-shan |
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| Institution: | 1. Department of Mathematics and Physics, Zhengzhou Instutute of Aeronautical Industry Management, Zhengzhou 450015,China; 2. Department of Mathematics, Zhoukou Normal University, Zhoukou 466001 ,China |
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| Abstract: | In order to solve the morbidity problem in GM(0,N) model ,a new parameter estimation to GM(0,N) basing on accumulating method which reduces the matrix calculation quanuity and complexity is proposed.Then the morbidity problem in the accumulating method GM(0,N) model by a multiple transformation on the initial data is resolved,a new healthier model is obtained and it is verified that the transformation doesn't affect the development parameter of the model and the precision of the system.So the accumulating method GM(0,N) model can be applied extensively. |
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| Keywords: | accumulating GM(0 N) model morbidity multiple transformation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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