Least-squares fitting Gompertz curve

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摘要

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.

论文关键词：65D10,65C20,62J02,Regression,Nonlinear least squares,Gompertz function,Existence problem

论文评审过程：Received 15 April 2003, Revised 24 November 2003, Available online 20 February 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2003.12.030