| 非等距情形的正交多项式回归模型 |
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| 引用本文： | 王增辉 贾红雷. 非等距情形的正交多项式回归模型[J]. 生物数学学报, 1992, 7(2): 168-173 |
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| 作者姓名： | 王增辉 贾红雷 |
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| 作者单位： | 吉林农业大学，吉林省农机研究所 长春 130118，长春 130021 |
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| 摘 要： | 本文向生物、医学、气象、环境等领域的科技人员介绍一种非等距情形的正交多项式回归模型.这种回归模型的优点是:(1)不需要解正规方程组,因而可有效地避免正规方程出现病态;(2)计算量比一般的多项式回归模型小;(3)各回归系数之间不存在相关性;(4)回归模型的检验比较简单.
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| 关 键 词： | 正交多项式 非等距 回归模型 |
A REGRSSION MODEL OF ORTHOGONAL POLYNOMIAL FOR NON-EQUIDISTANT POINTS |
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| Wang Zenghui. A REGRSSION MODEL OF ORTHOGONAL POLYNOMIAL FOR NON-EQUIDISTANT POINTS[J]. Journal of Biomathematics, 1992, 7(2): 168-173 |
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| Authors: | Wang Zenghui |
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| Abstract: | In this paper, a regression model of orthogonal polynomial is introduced for non-equidistant points to reserchers in the fields of biology, medicine,meteorology and environment.Tins model has the follwing advantages:(1) It does not need to solve the arrays of regular equations. Hence, it can avoid the disadvantage of il1-conditioned equations;(2) The amount of calculation is smaller than that of common polynomial regression model;(3) There is no correlation relationship between regression coefficients in the model;(4) Test of the regression model is simple. |
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| Keywords: | Orthogonal polynomial Non-cquidistant ponts |
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