中文题名: | 时间序列的几种辨识别方法的比较 |
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保密级别: | 公开 |
学科代码: | 070101 |
学科专业: | |
学生类型: | 学士 |
学位: | 理学学士 |
学位年度: | 2008 |
学校: | 北京师范大学 |
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第一导师姓名: | |
第一导师单位: | |
提交日期: | 2008-06-04 |
答辩日期: | 2008-06-04 |
中文关键词: | |
中文摘要: |
时间序列的应用在科学领域内愈加广泛。本篇论文以时间序列模型为基础,包括AR模型、MA模型和ARMA模型,以比较其各种参数识别方法的区别和联系为目的。首先对相关概念和定义以及模型形式作了介绍,然后通过计算各模型的自相关函数的算法引出了参数矩估计的方法,而后重点分析了参数估计的极大似然法和最小二乘法,并从系统控制理论方面阐述了最小二乘的递推公式和加权递推公式以及广义最小二乘的方法,从而填补了非正态情况下参数估计的空白,完整了整个参数辨识的框架。最后对以上这些参数估计方法作了对比,采用应用具体实例的途径,揭示了各个方法的区别、优劣和有效性等
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外文摘要: |
As the Time Series Analysis developed more and more widely in the scientific application
areas, the method of mathematical modeling on it is of great importance. This paper is focused
on one of the key step of modeling, the identification and estimation of the parameters.Based
on some related conception and definition, the initial estimation is educed by the algorithm of
autocorrelation function, which is one of the basic and regular estimation method. Later I introduce
a more efficient and commonly used approach, the maximum likelihood estimation and least square
estimation,followed by the recursion least square function and the generalized one.The latter one
has taken up the blank space of the Non-Normal distribution series. And finally come to the central
part of the paper,the discrimination, which has give a general comparison of the superiority and
inferiority of the various methods, in the ways of giving example.
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参考文献总数: | 5 |
插图总数: | 5 |
插表总数: | 2 |
馆藏号: | 本070101/0897 |
开放日期: | 2008-06-04 |