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Self Modeling Nonlinear Regression
- Source :
- Technometrics. 14:513-532
- Publication Year :
- 1972
- Publisher :
- Informa UK Limited, 1972.
-
Abstract
- The paper is concerned with parametric models for populations of curves; i.e. models of the form yi (Z) = f(θ i ; x) + error, i = I, 2, …, n. The shape invariant model f(θ i ; x) = θ0i + θ1i g([x – θ2i /θ3i ) is introduced. If the function g(x) is known, then the θ i may be estimated by nonlinear regression. If g(x) is unknown, then the authors propose an iterative technique for simultaneous determination of the best g(x) and θ i . Generalizations of the shape invariant model to curve resolution are also discussed. Several applications of the method are also presented.
Details
- ISSN :
- 15372723 and 00401706
- Volume :
- 14
- Database :
- OpenAIRE
- Journal :
- Technometrics
- Accession number :
- edsair.doi...........c0832617c1afb32c1e1cee8d954d0702