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Comparison of the Logistic and the Gompertz Growth Functions Considering Additive and Multiplicative Error Terms

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  • S. Vieira
  • R. Hoffmann

Abstract

Both the logistic growth function and the Gompertz growth function are used to describe growth processes. In this paper it is argued that, although the logistic has been more studied, the Gompertz growth function may better meet the features of some growth processes. In order to make possible the comparison between both growth functions when an additive error is assumed, a method of fitting the Gompertz growth function under homoscedasticity is described herein. Two numerical examples and a brief discussion of the results are also provided.

Suggested Citation

  • S. Vieira & R. Hoffmann, 1977. "Comparison of the Logistic and the Gompertz Growth Functions Considering Additive and Multiplicative Error Terms," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(2), pages 143-148, June.
    • Handle: RePEc:bla:jorssc:v:26:y:1977:i:2:p:143-148
    DOI: 10.2307/2347021
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    1. Ware, Aidan & Power, Niamh, 2017. "Modelling methane production kinetics of complex poultry slaughterhouse wastes using sigmoidal growth functions," Renewable Energy, Elsevier, vol. 104(C), pages 50-59.
    2. Satoh, Daisuke, 2021. "Discrete Gompertz equation and model selection between Gompertz and logistic models," International Journal of Forecasting, Elsevier, vol. 37(3), pages 1192-1211.
    3. Stefano Maria IACUS & Giuseppe PORRO, 2012. "The evolution of regional unemployment in the EU. An analysis via the Gompertz diffusion process," Departmental Working Papers 2012-17, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    4. Andreas Marcus Gohs, 2022. "Forecasting Market Diffusion of Innovative Battery-Electric and Conventional Vehicles in Germany under Model Uncertainty," MAGKS Papers on Economics 202209, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    5. Meneses-Quelal, W.O. & Velázquez-Martí, B. & Gaibor-Chávez, J. & Niño-Ruiz, Z., 2021. "Biochemical potential of methane (BMP) of camelid waste and the Andean region agricultural crops," Renewable Energy, Elsevier, vol. 168(C), pages 406-415.

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