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Double logistic curve in regression modeling

Author

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  • Stan Lipovetsky

Abstract

The logistic sigmoid curve is widely used in nonlinear regression and in binary response modeling. There are problems corresponding to a double sigmoid behavior which consists of the first increase to an early saturation at an intermediate level, and the second sigmoid with the eventual plateau of saturation. A double sigmoid behavior is usually achieved using additive or multiplicative combinations of logit and more complicated functions with numerous parameters. In this work, double sigmoid functions are constructed as logistic ones with a sign defining the point of inflection and with an additional powering parameter. The elaborated models describe rather complicated double saturation behavior via only four or five parameters which can be efficiently estimated by nonlinear optimization techniques. Theoretical features and practical applications of the models are discussed.

Suggested Citation

  • Stan Lipovetsky, 2010. "Double logistic curve in regression modeling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(11), pages 1785-1793.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:11:p:1785-1793
    DOI: 10.1080/02664760903093633
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    Cited by:

    1. Ewen Gallic & Michel Lubrano & Pierre Michel, 2021. "Optimal lockdowns: Analysing the efficiency of sanitary policies in Europe during the first wave," AMSE Working Papers 2111, Aix-Marseille School of Economics, France.
    2. Ewen Gallic & Michel Lubrano & Pierre Michel, 2022. "Optimal lockdowns for COVID‐19 pandemics: Analyzing the efficiency of sanitary policies in Europe," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 944-967, October.
    3. Patricia Román-Román & Juan José Serrano-Pérez & Francisco Torres-Ruiz, 2019. "A Note on Estimation of Multi-Sigmoidal Gompertz Functions with Random Noise," Mathematics, MDPI, vol. 7(6), pages 1-18, June.
    4. Fabio Baione & Davide Biancalana & Paolo Angelis, 2021. "An application of Sigmoid and Double-Sigmoid functions for dynamic policyholder behaviour," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 5-22, June.
    5. Malik Garima & Singh Dharmendra, 2023. "Twitter sentiment analysis: An estimation of the trends in tourism after the outbreak of the Covid-19 pandemic," European Journal of Tourism, Hospitality and Recreation, Sciendo, vol. 13(1), pages 40-48, December.
    6. Lamrhari, Soumaya & Ghazi, Hamid El & Oubrich, Mourad & Faker, Abdellatif El, 2022. "A social CRM analytic framework for improving customer retention, acquisition, and conversion," Technological Forecasting and Social Change, Elsevier, vol. 174(C).

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