| 基于粗集理论的线性回归方法及实证分析 |
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| 引用本文： | 刘盾,胡培,施丽丽. 基于粗集理论的线性回归方法及实证分析[J]. 统计与信息论坛, 2008, 23(6): 30-34 |
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| 作者姓名： | 刘盾 胡培 施丽丽 |
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| 作者单位： | 西南交通大学,经管学院,四川,成都,610031 |
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| 基金项目： | 高等学校博士学科点专项科研项目 , 中国博士后科学基金 , 四川省教育厅资助项目 |
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| 摘 要： | 通过分析实际问题中经济变量间往往出现多重共线性的现象,将粗集理论的约简思想引入线性回归分析,提出了基于粗集理论的线性回归模型来解决多重共线性问题,并通过实证分析来验证模型的可行性,为人们进行科学的预测和决策提供了一种新的思想和方法。
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| 关 键 词： | 线性回归 粗集理论 多重共线性 属性约简 |
| 文章编号： | 1007-3116(2008)06-0030-05 |
| 修稿时间： | 2008-02-26 |
A new Linearity Regression Methodology Based on Rough Sets Theory and it's Empirical Study |
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| LIU Dun,HU Pei,SHI Li-li. A new Linearity Regression Methodology Based on Rough Sets Theory and it's Empirical Study[J]. Statistics & Information Tribune, 2008, 23(6): 30-34 |
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| Authors: | LIU Dun HU Pei SHI Li-li |
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| Affiliation: | (School of Economies and Management, Southwest Jiaotong University, Chengdu 610031, China) |
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| Abstract: | Through the analysis of the multicollinearity in practical economic problem, we put the thought of attribute-reducing with rough sets theory into the linear regression, and builds up a new model to solve the problems of multicollinearity, then carry out an empirical study to validate the feasibility of this model, which gives a new methodology and thought in scientific forecast and decision - making. |
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| Keywords: | linear regression rough sets theory multi-collinearity attribute- reducing |
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