论文信息 - The existence of optimal parameters of the generalized logistic function

The existence of optimal parameters of the generalized logistic function

The estimation of optimal parameters in a mathematical model described by the generalized logistic function with saturation level A and the asymmetry coefficient γ is a nonlinear least squares problem. In this paper we prove the existence of optimal parameters under considerably weaker conditions than those required in [1].

Rudolf Scitovski | Dragan Jukić | R. Scitovski | D. Jukić

[1] Philip E. Gill,et al. Practical optimization , 1981 .

[3] R. Schnabel,et al. A view of unconstrained optimization , 1989 .

[4] J. Nelder. The Fitting of a Generalization of the Logistic Curve , 1961 .

[5] T. Stukel. Generalized Logistic Models , 1988 .

[6] Christopher J. Easingwood,et al. Early product life cycle forms for infrequently purchased major products , 1987 .

[7] R. Schnabel,et al. Chapter I A view of unconstrained optimization , 1989 .

[8] Eberhard O. Voit,et al. Analytical Solutions to a Generalized Growth Equation , 1984 .

[9] George L. Nemhauser,et al. Handbooks in operations research and management science , 1989 .

[10] K. N. Singh,et al. A Within Year Growth Model for Crop Yield Forecasting , 1992 .

[11] David A. Ratkowsky,et al. Handbook of nonlinear regression models , 1990 .

[12] Rudolf Lewandowski. Prognose- und Informationssysteme : und ihre Anwendungen , 1974 .

[13] Rudolf Scitovski,et al. A special nonlinear least-squares problem , 1994 .