The best least squares approximation problem for a 3-parametric exponential regression model

Given the data (pi, ti, fi), i = 1,…,m, we consider the existence problem for the best least squares approximation of parameters for the 3-parametric exponential regression model. This problem does not always have a solution. In this paper it is shown that this problem has a solution provided that t...

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Bibliographic Details
Published in:The ANZIAM journal 2000-10, Vol.42 (2), p.254-266
Main Authors: Jukić, D., Scitovski, R.
Format: Article
Language:English
Subjects:
Approximation
Least squares
Regression models
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Summary:Given the data (pi, ti, fi), i = 1,…,m, we consider the existence problem for the best least squares approximation of parameters for the 3-parametric exponential regression model. This problem does not always have a solution. In this paper it is shown that this problem has a solution provided that the data are strongly increasing at the ends.
ISSN:1446-1811
1446-8735
DOI:10.1017/S1446181100011901