Self Modeling Nonlinear Regression
| Autor: | Edward A. Sylvestre, M. S. Maggio, William H. Lawton |
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| Rok vydání: | 1972 |
| Předmět: | |
| Zdroj: | Technometrics. 14:513-532 |
| ISSN: | 1537-2723 0040-1706 |
| DOI: | 10.1080/00401706.1972.10488942 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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