A Characterization of the Zero-One Inflated Negative Binomial Distribution

International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN. International E-Bulletin: Information/News regarding: Academics and Research

A Characterization of the Zero-One Inflated Negative Binomial Distribution

Rafid Saeed Abdulrazak Alshkaki

Author Affiliations

¹Ahmed Bin Mohammed Military College, Doha, Qatar

Res. J. Mathematical & Statistical Sci., Volume 4, Issue (9), Pages 1-3, October,12 (2016)

Abstract

In this paper, we introduce a characterization of the zero-one inflated negative binomial distributions through a linear differential equation of its probability generating function.

References

Johnson N.L., Kemp A.W. and Kotz S. (2005)., Univariate Discrete Distributions., Third Edition, John Wiley and Sons, New Jersey.
Google Scholar
Banik S. and Kibria B.M.G. (2009)., On Some Discrete Distributions and their Applications with Real Life Data., Journal of Modern Applied Statistical Methods, 8(2), 423-447.
Google Scholar
Sharma A.K. and Landge V.S. (2013)., Zero Inflated Negative Binomial For Modeling Heavy Vehicle Crash Rate On Indian Rural Highway., International Journal of Advances in Engineering & Technology, 5(2), 292-301.
Google Scholar
Saengthong P., Bodhisuwan W. and Thongteeraparp A. (2015)., The Zero Inflated Negative Binomial – Crack Distribution: Some Properties And Parameter Estimation., Songklanakarin J. Sci. Technol, 37 (6), 701-711.
Google Scholar
Fang R.,Wagner B.D., Harris J.K. and Fillon S.A. (2016)., Zero-inflated negative binomial mixed model: an application to two microbial organisms important in oesophagitis., Epidemiology and Infection, 144(11), 2447-2455. DOI: http://dx.doi.org/10.1017/S0950268816000662
Google Scholar
Preisser J.S., Das K., Long D.L. and Divaris K. (2015)., Marginalized zero-inflated negative binomial regression with application to dental caries., Stat Med. 35(10), 1722-35. DOI: 10.1002/sim.6804
Google Scholar
Suresh R., Nanjundan G., Nagesh S. and Pasha S. (2015)., On a Characterization of Zero-Inflated Negative Binomial Distribution., Open Journal of Statistics, 5, 511-513. http://dx.doi.org/10.4236/ojs.2015.56053.
Google Scholar

[ref1] Johnson N.L., Kemp A.W. and Kotz S. (2005)., Univariate Discrete Distributions., Third Edition, John Wiley and Sons, New Jersey.
Google Scholar

[ref2] Banik S. and Kibria B.M.G. (2009)., On Some Discrete Distributions and their Applications with Real Life Data., Journal of Modern Applied Statistical Methods, 8(2), 423-447.
Google Scholar

[ref3] Sharma A.K. and Landge V.S. (2013)., Zero Inflated Negative Binomial For Modeling Heavy Vehicle Crash Rate On Indian Rural Highway., International Journal of Advances in Engineering & Technology, 5(2), 292-301.
Google Scholar

[ref4] Saengthong P., Bodhisuwan W. and Thongteeraparp A. (2015)., The Zero Inflated Negative Binomial – Crack Distribution: Some Properties And Parameter Estimation., Songklanakarin J. Sci. Technol, 37 (6), 701-711.
Google Scholar

[ref5] Fang R.,Wagner B.D., Harris J.K. and Fillon S.A. (2016)., Zero-inflated negative binomial mixed model: an application to two microbial organisms important in oesophagitis., Epidemiology and Infection, 144(11), 2447-2455. DOI: http://dx.doi.org/10.1017/S0950268816000662
Google Scholar

[ref6] Preisser J.S., Das K., Long D.L. and Divaris K. (2015)., Marginalized zero-inflated negative binomial regression with application to dental caries., Stat Med. 35(10), 1722-35. DOI: 10.1002/sim.6804
Google Scholar

[ref7] Suresh R., Nanjundan G., Nagesh S. and Pasha S. (2015)., On a Characterization of Zero-Inflated Negative Binomial Distribution., Open Journal of Statistics, 5, 511-513. http://dx.doi.org/10.4236/ojs.2015.56053.
Google Scholar