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.
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.
出处
《生物数学学报》
CSCD
北大核心
1992年第2期168-173,共6页
Journal of Biomathematics
关键词
正交多项式
非等距
回归模型
Orthogonal polynomial
Non-cquidistant ponts
