| 基于小波包分析的线性回归拟合 |
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| 引用本文： | 刘云飞,杨柱元,雷靖.基于小波包分析的线性回归拟合[J].云南民族大学学报(自然科学版),2012,21(2):109-111. |
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| 作者姓名： | 刘云飞 杨柱元 雷靖 |
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| 作者单位： | 1. 云南民族大学数学与计算机科学学院,云南昆明,650500
2. 云南民族大学数学与计算机科学学院,云南昆明650500;云南省软件工程重点实验室,云南昆明650091 |
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| 基金项目： | 国家自然科学基金(11061039);云南省自然科学基金(2011FZ169);云南省软件工程重点实验室开放基金(2011SE15) |
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| 摘 要： | 针对线性回归分析模型中的数据易受到噪声的影响,提出了通过小波包分析对各个指标进行去噪处理,对处理后的数据用线性回归方法进行拟合.然后用1990—2010年度民用汽车保有量和国内生产总值(GDP)的数据进行实验,结果表明预先对数据进行小波包分析能够有效提高拟合的精度.
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| 关 键 词： | 小波包分析 线性回归 民用汽车保有量 国内生产总值 |
Linear Regression Fitting Based on Wave Packet Analysis |
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| LIU Yun-fei
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YANG Zhu-yuan
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LEI Jing.Linear Regression Fitting Based on Wave Packet Analysis[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2012,21(2):109-111. |
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| Authors: | LIU Yun-fei YANG Zhu-yuan LEI Jing |
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| Institution: | 1,2(1.School of Mathematics and Computer Science,Yunnan University of Nationalities,Kunming 650500,China; 2.Key Laboratory in Software Engineering of Yunnan Province,Kunming 650091,China) |
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| Abstract: | As the data in the model of linear regression analysis is easily susceptible to noise,this paper studies the linear regression fitting by using wave packet analysis for pre-treating the data.First,the indexes are de-noised through wave packet analysis.Then,the processed data are fitted for applying linear regression.Finally,the data of civilian vehicle inventory and GDP of 1990—2010 are studied,whose results show that the fitting method with pretreatment of the wave packet analysis can effectively improve the fitting accuracy. |
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| Keywords: | wave packet analysis linear regression civilian vehicle inventory GDP |
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