A new method for calculating regression parameters of nonlinear biology model and its application

ZHANG Shiqiang

doi:10.13406/j.cnki.cyxb.2003.06.021

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A new method for calculating regression parameters of nonlinear biology model and its application

更新时间：2024-01-17

- A new method for calculating regression parameters of nonlinear biology model and its application
- Journal of Chongqing Medical University Issue 6, Pages: 754-757(2003)
- 作者机构：
  
  重庆医科大学基础医学院数学教研室,重庆,400016
- 作者简介：
- 基金信息：
- DOI：10.13406/j.cnki.cyxb.2003.06.021
  CLC： O29
- Published：2003，
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[1]张世强.非线性生物模型回归参数计算的一个新方法及应用[J].重庆医科大学学报,2003(06):754-757.

ZHANG Shiqiang. A new method for calculating regression parameters of nonlinear biology model and its application. [J]. Journal of Chongqing Medical University (6):754-757(2003)
[1]张世强.非线性生物模型回归参数计算的一个新方法及应用[J].重庆医科大学学报,2003(06):754-757. DOI： 10.13406/j.cnki.cyxb.2003.06.021.

ZHANG Shiqiang. A new method for calculating regression parameters of nonlinear biology model and its application. [J]. Journal of Chongqing Medical University (6):754-757(2003) DOI： 10.13406/j.cnki.cyxb.2003.06.021.

摘要

目的 :研究变量代换对非线性生物模型回归参数的干扰

寻找消除或减少该干扰的新方法。方法 :利用空间变换、泰勒（Taylor）级数和加权处理的组合方式消除或减少变量代换带来的严重影响。结果 :给出一个计算非线性生物模型回归参数的新方法。结论 :新方法消除或减少了变量代换带来的严重影响

保留了变量代换便于计算的优点 ;不但显著提高了非线性生物模型回归参数的精度

而且还能发现原始数据中隐藏的问题。

Abstract

Objective:To study the disturbance creatd by the variable transformation within regression parameters of nonlinear biology models and find a new method removing or reducing the disturbance.Methods:To use the space transformation

Taylor series and weight method to remove or reduce the serious disturbance created by the variable transformation within regression parameters of nonlinear biology models.Results:Giving a new method calculating regression parameters of nonlinear biology models.Conclusion:The new method can remove or reduce the serious disturbance created by the variable transformation and remain the advantage of variable transformation.It can not only improve regression precision of the nonlinear biology models but also can find problems hidden in the original data.

关键词

非线性模型最小二乘法空间变换非线性参数估计

Keywords

Nonlinear modelLeast squareSpace transformationEstimation of nonlinear parameter

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