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

Published online by Cambridge University Press:  17 February 2009

D. Jukić  and
R. Scitovski
D. Jukić
Affiliation:
University “J. J. Strossmayer”, Faculty of Food Technology, Department of Mathematics, Franje Kuhača 18, 31 000 Osijek, Croatia, email: jukicd@oliver.efos.hr
R. Scitovski
Affiliation:
University “J. J. Strossmayer”, Faculty of Electrical Engineering, Department of Mathematics, Istarska 3, 31 000 Osijek, Croatia, email: scitowsk@drava.etfos.hr
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 2 , October 2000 , pp. 254 - 266
Copyright
Copyright © Australian Mathematical Society 2000

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