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Zero-Inflated Poisson Regression Models: Applications In The Sciences And Social Sciences

Author

Listed:
  • BUU-CHAU TRUONG

    (Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam)

  • KIM-HUNG PHO

    (Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam)

  • CONG-CHANH DINH

    (Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam)

  • MICHAEL McALEER

    (Department of Finance, College of Management, Asia University, Taiwan3Department of Bioinformatics and Medical Engineering, College of Information and Electrical Engineering, Asia University, Taiwan4Discipline of Business Analytics, University of Sydney Business School, Australia5Econometric Institute, Erasmus School of Economics, Erasmus University Rotterdam, The Netherlands6Department of Economic Analysis and ICAE, Complutense University of Madrid, Spain)

Abstract

This paper makes a theoretical contribution by presenting a detailed derivation of a zero-inflated Poisson (ZIP) model, and then deriving the parameters of the ZIP model using a fishing data set. This model has several practical applications, and is largely performed to model count data that have an excess number of zero counts. In the scope of the paper, we introduce the complete formulae, the likelihood and log-likelihood functions and the estimating equation of the ZIP model. We then investigate the theory of large sample properties of this model under some regularity conditions. A simulation study and a fishing data set are studied for the ZIP model. The results in the actual application in this work are meaningful, useful and crucial in reality. The results also provide reliable evidence for obtaining the largest number of fish while fishing. This is the contribution of this research in terms of applications. Finally, the important applications of this model in practice, some conclusions, and future work is also presented for consideration.

Suggested Citation

  • BUU-CHAU TRUONG & KIM-HUNG PHO & CONG-CHANH DINH & MICHAEL McALEER, 2021. "Zero-Inflated Poisson Regression Models: Applications In The Sciences And Social Sciences," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 1-19, June.
    • Handle: RePEc:wsi:afexxx:v:16:y:2021:i:02:n:s2010495221500068
    DOI: 10.1142/S2010495221500068
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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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