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Communications in Statistics - Theory and Methods Volume 50, 2021 - Issue 13
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Research Article

On uniform-negative binomial distribution including Gauss hypergeometric function and its application in count regression modeling

Deepesh Bhatia Department of Statistics, Central University of Rajasthan, Kishangarh, Ajmer, IndiaCorrespondence[email protected]
&
Ishfaq S. Ahmedb Department of Statistics, University of Kashmir, Srinagar, India
Pages 3106-3122 | Received 23 Oct 2018, Accepted 15 Oct 2019, Published online: 21 Nov 2019

References

  • Abramowitz, M., and I. Stegun. 1972. Handbook of mathematical function. 2nd ed. New York, NY: Dover.
  • Akdoğan, Y., C. Kuş, A. Asgharzadeh, İ. Kınacı, and F. Sharafi. 2016. Uniform-geometric distribution. Journal of Statistical Computation and Simulation 86 (9):1754–70. doi:10.1080/00949655.2015.1081907.
  • Chakraborty, S., and A. H. Ong. 2016. A COM-Poisson-type generalization of the negative binomial distribution. Communications in Statistics-Theory and Methods 45 (14):4117–35.
  • Deb, P., and P. K. Trivedi. 1997. Demand for medical care by the elderly: A finite mixture approach. Journal of Applied Econometrics 12:313–36.
  • Ghitany, M. E., S. A. Al-Awadhi, and S. L. Kalla. 2002. On hypergeometric generalized negative binomial distribution. International Journal of Mathematics and Mathematical Sciences 29 (12):727–36.
  • Gómez-Déniz, E. 2010. A new discrete distribution: Properties and applications in medical care. Journal of Applied Statistics 40 (12):2760–70.
  • Gómez-Déniz, E. 2013. A new discrete distribution: Properties and applications in medical care. Journal of Applied Statistics 40 (12):2760–70. doi:10.1080/02664763.2013.827161.
  • Gómez-Déniz, E., J. M. Sarabia, and E. Calderín-Ojeda. 2008. Univariate and multivariate versions of the negative binomial-inverse Gaussian distributions with applications. Insurance: Mathematics and Economics 42 (1):39–49. doi:10.1016/j.insmatheco.2006.12.001.
  • Gupta, R. C., and S. H. Ong. 2005. Analysis of long-tailed count data by Poisson mixtures. Communication in Statistics: Theory and Methods 34:557–74.
  • Karlis, D., and E. Xekalaki. 2005. Mixed Poisson distributions. International Statistical Review 73:35–58.
  • Lambert, D. 1992. Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics 34 (1):1–14. doi:10.2307/1269547.
  • Mullahy, J. 1986. Specification and testing of some modified count data models. Journal of Econometrics 33 (3):341–65. doi:10.1016/0304-4076(86)90002-3.
  • Ong, S. H. and P. A. Lee. 1986. On a generalized non-central negative binomial distribution. Communications in Statistics-Theory and Methods 15 (3):1065–79.
  • Vuong, Q. H. 1989. Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica. 57 (2):307–33.

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