Least-squares fitting Gompertz curve
type: Item
instance of: scholarly article
title: Least-squares fitting Gompertz curve
zbMATH Open document ID: 1054.65009
author: Dragan Jukić
author: Gordana Kralik
author: Rudolf Scitovski
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-16T00:00:00Z
review text: The Gompertz curve is a useful tool for the mathematical modeling of various phenomena. The authors discuss the problem of finding suitable parameters such that the resulting special case of the curve fits a given data set in a least squares sense. A theory describing necessary and sufficient conditions for the existence of an optimal solution is given, and an algorithm is constructed that can be used to find the optimal solution. A crucial point for this iterative algorithm is the choice of the starting values. This problem is discussed in detail.
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 62J02
Mathematics Subject Classification ID: 65C60
zbMATH DE Number: 2091415
zbMATH Keywords: Gompertz curve
zbMATH Keywords: parameter fitting
zbMATH Keywords: Regression
zbMATH Keywords: least squares method
zbMATH Keywords: algorithm
MaRDI profile type: Publication
full work available at URL: j.cam.2003.12.030
OpenAlex ID: W1963683905
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DOI: 10.1016/J.CAM.2003.12.030
description: scientific article; zbMATH DE number 2091415