The Estimation of Parameters in Nonlinear, Implicit Models
作者:
H.I. Britt,
R.H. Luecke,
期刊:
Technometrics
(Taylor Available online 1973)
卷期:
Volume 15,
issue 2
页码: 233-247
ISSN:0040-1706
年代: 1973
DOI:10.1080/00401706.1973.10489037
出版商: Taylor & Francis Group
关键词: Estimation;Nonlinear;Maximum Likelihood;Least Squares;Measurement Error;Curve Fitting;Algorithm;Iterative;Models;Thermodynamics;Virial Coefficient
数据来源: Taylor
摘要:
The estimation of parameters in nonlinear algebraic models is considered for a general class of problems. Included are problems where both the independent and dependent variables are subject to error and problems where the model is algebraically implicit. The maximum likelihood principle leads to an equality constrained minimization problem. An algorithm to achieve this minimization is obtained through the use of Lagrange multipliers.
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