Least-squares fitting Gompertz curve

Authors:
Dragan Jukić;Gordana Kralik;Rudolf Scitovski
Affiliations:
Department of Mathematics, University of Osijek, Gajev trg 6, Osijek HR-31 000, Croatia;Faculty of Agriculture, University of Osijek, Trg Svetog trojstva 3, Osijek HR-31 000, Croatia;Department of Mathematics, University of Osijek, Gajev trg 6, Osijek HR-31 000, Croatia
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

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Abstract

In this paper we consider the least-squares (LS) fitting of the Gompertz curve to the given nonconstant data (pi, ti, yi), i = 1,...,m, m ≥ 3. We give necessary and sufficient conditions which guarantee the existence of the LS estimate, suggest a choice of a good initial approximation and give some numerical examples.