On a Characterization of Zero-Inflated Negative Binomial Distribution

R. Suresh; G. Nanjundan; S. Nagesh; Sadiq Pasha

doi:10.4236/ojs.2015.56053

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Open Journal of Statistics > Vol.5 No.6, October 2015

On a Characterization of Zero-Inflated Negative Binomial Distribution ()

R. Suresh¹, G. Nanjundan², S. Nagesh¹, Sadiq Pasha²

¹Department of Statistics, Karnatak University, Dharwad, India.
²Department of Statistics, Bangalore University, Bangalore, India.

DOI: 10.4236/ojs.2015.56053 PDF HTML XML 3,475 Downloads 4,317 Views Citations

Abstract

Zero-inflated negative binomial distribution is characterized in this paper through a linear differential equation satisfied by its probability generating function.

Keywords

Zero-Inflated Negative Binomial Distribution, Probability Distribution, Probability Generating Function, Linear Differential Equation

Share and Cite:

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. doi: 10.4236/ojs.2015.56053.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Nanjundan, G. (2011) A Characterization of the Members of a Subfamily of Power Series Distributions. Applied Mathematics, 2, 750-751. http://dx.doi.org/10.4236/am.2011.26099
[2]	Nanjundan, G. and Pasha, S. (2015) A Note on the characterization of Zero-Inflated Poisson Distribution. Open Journal of Statistics, 5, 140-142. http://dx.doi.org/10.4236/ojs.2015.52017
[3]	Nagesh, S., Nanjundan, G., Suresh, R. and Pasha, S. (2015) A Characterization of Zero-Inflated Geometric Model. International Journal of Mathematics Trends and Technology, 23, 71-73. http://dx.doi.org/10.14445/22315373/IJMTT-V23P510