A new zero–inflated discrete Lindley regression model

References

• Al-Babtain, A. A., A. H. N. Ahmed, and A. Z. Afify. 2020. A new discrete analog of the continuous Lindley distribution, with reliability applications. Entropy 22 (6):603. doi: 10.3390/e22060603.
   PubMed Web of Science ®Google Scholar
• Altun, E. 2018. A new zero-inflated regression model with application. statistikçiler Dergisi: statistik Ve Aktüerya 11 (2):73–80.
   Google Scholar
• Altun, E. 2019. A new model for over-dispersed count data: Poisson quasi-Lindley regression model. Mathematical Sciences 13 (3):241–7. doi: 10.1007/s40096-019-0293-5.
   Web of Science ®Google Scholar
• Asgharzadeh, A., H. S. Bakouch, S. Nadarajah, and F. Sharafi. 2016. A new weighted Lindley distribution with application. Brazilian Journal of Probability and Statistics 30 (1):1–27. doi: 10.1214/14-BJPS253.
   Web of Science ®Google Scholar
• Atikankul, Y., A. Thongteeraparp, and W. Bodhisuwan. 2020. The new Poisson mixed weighted Lindley distribution with applications to insurance claims data. Songklanakarin Journal of Science & Technology 42 (1), 152–62.
   Google Scholar
• Bakouch, H. S., C. Chesneau, K. Karakaya, and C. Kuş. 2021. The Cos-Poisson model with a novel count regression analysis. Hacettepe Journal of Mathematics & Statistics 50:1–20. doi: 10.15672/hujms.740872.
   Web of Science ®Google Scholar
• Bertoli, W., K. S. Conceição, M. G. Andrade, and F. Louzada. 2018. On the zero-modified Poisson–Shanker regression model and its application to fetal deaths notification data. Computational Statistics 33 (2):807–36. doi: 10.1007/s00180-017-0788-1.
   Web of Science ®Google Scholar
• Chesneau, C., H. S. Bakouch, A. Akdoğan, and K. Karakaya. 2022. The binomial-discrete Poisson-Lindley model. Modeling and Applications to Count Regression 38 (1):28–51.
   Google Scholar
• Hilbe, J. M. 2011. Negative binomial regression. United Kingdom: Cambridge University Press.
   Google Scholar
• Jansakul, N., and J. P. Hinde. 2002. Score tests for zero-inflated Poisson models. Computational Statistics and Data Analysis 40:75–96. doi: 10.1016/S0167-9473(01)00104-9.
   Web of Science ®Google Scholar
• Johnson, N., S. Kotz, and A. Kemp. 1992. Univariate discrete distributions. 2nd ed. New York, NY: John Wiley and Sons.
   Google Scholar
• Koç, H., M. A. Cengiz, T. Koç, and E. Dünder. 2013. Aşırı Yayılımlı Veriler İçin Genelleştirilmiş Poisson Karma Modellerin Hava Kirliliği Üzerine Bir Uygulamasi. International Anatolia Academic Online Journal/Science Journal 1 (2), 3–7.
   Google Scholar
• Lambert, D. 1992. Zero-inflated Poisson regression with application to defects in manufacturing. Technometrics 41 (1):29–38. doi: 10.2307/1269547.
   Web of Science ®Google Scholar
• McCullagh, P., and J. A. Nelder. 1989. Binary data. In Generalized linear models, 98–148. London: Springer US.
   Google Scholar
• Shanker, R. 2017. The discrete Poisson-Aradhana distribution. Türkiye Klinikleri Biyoistatistik 9 (1):12–22. doi: 10.5336/biostatic.2017-54834.
   Google Scholar
• Shanker, R., K. K. Shukla, and T. A. Leonida. 2020. Another two-parameter Poisson-Sujatha distribution. International Journal of Statistics and Applications 10 (2):43–53.
   Google Scholar
• Sileshi, G. 2008. The excess-zero problem in soil animal count data and choice of appropriate models for statistical inference. Pedobiologia 52 (1):1–17. doi: 10.1016/j.pedobi.2007.11.003.
   Web of Science ®Google Scholar
• URL-1. 2022. Accessed 7 June 2022. https://www.rdocumentation.org/packages/AER/versions/1.2-9/topics/NMES1988.
   Google Scholar
• Walters, G. D. 2007. Using Poisson class regression to analyze count data in correctional and forensic psychology: A relatively old solution to a relatively new problem. Criminal Justice and Behavior 34 (12):1659–74. doi: 10.1177/0093854807307030.
   Web of Science ®Google Scholar
• Xavier, D., M. Santos-Neto, M. Bourguignon, and V. Tomazella. 2017. Zero-Modified Poisson-Lindley distribution with applications in zero-inflated and zero-deflated count data. arXiv Preprint arXiv 1712:04088.
   Google Scholar