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

Authors
Jukic, D Scitovski, R
Citation
D. Jukic et R. Scitovski, The best least squares approximation problem for a 3-parametric exponential regression model, ANZIAM J, 42, 2000, pp. 254-266
Citations number
21
Categorie Soggetti
Mathematics
Journal title
ANZIAM JOURNAL
ISSN journal
14424436 → ACNP
Volume
42
Year of publication
2000
Part
2
Pages
254 - 266
Database
ISI
SICI code
1442-4436(200010)42:<254:TBLSAP>2.0.ZU;2-B
Abstract
Given the data (p(i), t(i), f(i)), i = 1,..., m, we consider the existence problem for the best least squares approximation of parameters for the 3-pa rametric exponential regression model. This problem does not always have a solution. In this paper it is shown that this problem has a solution provid ed that the data are strongly increasing at the ends.