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Methods of Estimating the Logistic Growth Function

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  • F. R. Oliver

Abstract

The logistic growth function frequently arises in economic and biological problems, but is not easy to fit to observed data. Three methods of fitting it are described and compared with direct least‐squares. It is found that the simpler methods are highly unsatisfactory in a number of respects when applied to six illustrative time series. Some features of an electronic computer programme evolved for the direct least‐squares method are described.

Suggested Citation

  • F. R. Oliver, 1964. "Methods of Estimating the Logistic Growth Function," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 13(2), pages 57-66, June.
    • Handle: RePEc:bla:jorssc:v:13:y:1964:i:2:p:57-66
    DOI: 10.2307/2985696
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    Cited by:

    1. Catherine Bobtcheff & Christian Gollier & Richard Zeckhauser, 2008. "Resource allocation when projects have ranges of increasing returns," Journal of Risk and Uncertainty, Springer, vol. 37(1), pages 1-33, August.
    2. Adam R. Szromek, 2019. "An Analytical Model of Tourist Destination Development and Characteristics of the Development Stages: Example of the Island of Bornholm," Sustainability, MDPI, vol. 11(24), pages 1-16, December.
    3. Shubham Gupta & Gajendra K. Vishwakarma & A. M. Elsawah, 2024. "Shrinkage Estimation for Location and Scale Parameters of Logistic Distribution Under Record Values," Annals of Data Science, Springer, vol. 11(4), pages 1209-1224, August.
    4. Gardebroek, Cornelis & Jongeneel, Roelof A., 2004. "The Growth In Organic Agriculture: Temporary Shift Or Structural Change?," 2004 Annual meeting, August 1-4, Denver, CO 20074, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. Ahmad Abubakar Suleiman & Hanita Daud & Narinderjit Singh Sawaran Singh & Mahmod Othman & Aliyu Ismail Ishaq & Rajalingam Sokkalingam, 2023. "A Novel Odd Beta Prime-Logistic Distribution: Desirable Mathematical Properties and Applications to Engineering and Environmental Data," Sustainability, MDPI, vol. 15(13), pages 1-25, June.
    6. Chang, Byeong-Yun & Li, Xu & Kim, Yun Bae, 2014. "Performance comparison of two diffusion models in a saturated mobile phone market," Technological Forecasting and Social Change, Elsevier, vol. 86(C), pages 41-48.
    7. Liu, Yang & Gao, Jian & Wang, Haiying & Semba, Sherehe & Gu, Changgui & Yang, Huijie, 2022. "Families’ influence on romantic relationship and its reconstruction," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    8. Rebecca E. Atanga & Edward L. Boone & Ryad A. Ghanam & Ben Stewart-Koster, 2021. "Optimal Sampling Regimes for Estimating Population Dynamics," Stats, MDPI, vol. 4(2), pages 1-17, April.
    9. Massimo Florio & Sara Colautti, 2005. "A logistic growth theory of public expenditures: A study of five countries over 100 years," Public Choice, Springer, vol. 122(3), pages 355-393, March.
    10. Gardebroek, Cornelis, 2008. "Evaluating Different Growth Scenarios for Organic Farming Using Bayesian Techniques," 2008 International Congress, August 26-29, 2008, Ghent, Belgium 44211, European Association of Agricultural Economists.

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