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Specification and Estimation of a Logistic Function, with Applications in the Sciences and Social Sciences

Author

Listed:
  • Kim-Hung Pho

    (Fractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam)

  • Michael McAleer

    (Department of Finance, College of Management, Department of Bioinformatics and Medical Engineering, College of Information and Electrical Engineering, Asia University, Taiwan)

Abstract

This research makes a theoretical contribution by providing straightforward and coherent derivation of a logistic model, and then estimating the parameters of the model with a fishing data set. The logistic model is frequently considered as a convenient regression model to find the associations between a binary outcome variable and several covariates. This is also a model that has numerous practical applications, as in banking, engineering, social sciences, medical research and biostatistics. In the paper, we briefly summarize the function and estimating equation of the logistic model. We next investigate the large sample properties of this model under some regularity conditions. We then provide a simulation study of the work. A factual application of the logistic model is illustrated using a fishing data set. The results have consilience with practice. It also shows that this is a reliable model to maximize the number of fish while fishing. Finally, some applications in decision sciences, some concluding remarks, and future research directions are discussed.

Suggested Citation

  • Kim-Hung Pho & Michael McAleer, 2021. "Specification and Estimation of a Logistic Function, with Applications in the Sciences and Social Sciences," Advances in Decision Sciences, Asia University, Taiwan, vol. 25(2), pages 74-104, June.
    • Handle: RePEc:aag:wpaper:v:25:y:2021:i:2:p:74-104
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    References listed on IDEAS

    as
    1. Taha Zaghdoudi, 2013. "Bank Failure Prediction with Logistic Regression," International Journal of Economics and Financial Issues, Econjournals, vol. 3(2), pages 537-543.
    2. Arvind Shrivastava & Kuldeep Kumar & Nitin Kumar, 2018. "Business Distress Prediction Using Bayesian Logistic Model for Indian Firms," Risks, MDPI, vol. 6(4), pages 1-15, October.
    3. Hsieh, S.H. & Lee, S.M. & Shen, P.S., 2009. "Semiparametric analysis of randomized response data with missing covariates in logistic regression," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2673-2692, May.
    4. Hsieh, Shu-Hui & Li, Chin-Shang & Lee, Shen-Ming, 2013. "Logistic regression with outcome and covariates missing separately or simultaneously," Computational Statistics & Data Analysis, Elsevier, vol. 66(C), pages 32-54.
    5. Pei-Chieh Chang & Kim-Hung Pho & Shen-Ming Lee & Chin-Shang Li, 2021. "Estimation of parameters of logistic regression for two-stage randomized response technique," Computational Statistics, Springer, vol. 36(3), pages 2111-2133, September.
    6. Wang, Peipei & Zheng, Xinqi & Li, Jiayang & Zhu, Bangren, 2020. "Prediction of epidemic trends in COVID-19 with logistic model and machine learning technics," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    7. Shen-Ming Lee & Chin-Shang Li & Shu-Hui Hsieh & Li-Hui Huang, 2012. "Semiparametric estimation of logistic regression model with missing covariates and outcome," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(5), pages 621-653, July.
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    Cited by:

    1. Massoud Moslehpour & Shin Hung Pan & Aviral Kumar Tiwari & Wing Keung Wong, 2021. "Editorial in Honour of Professor Michael McAleer," Advances in Decision Sciences, Asia University, Taiwan, vol. 25(4), pages 1-14, December.

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    More about this item

    Keywords

    Estimation; Logistic; Regression models; Fishing data; Decision Sciences.;
    All these keywords.

    JEL classification:

    • J16 - Labor and Demographic Economics - - Demographic Economics - - - Economics of Gender; Non-labor Discrimination
    • K38 - Law and Economics - - Other Substantive Areas of Law - - - Human Rights Law; Gender Law; Animal Rights Law
    • M14 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Corporate Culture; Diversity; Social Responsibility

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