# On estimation of the PMF and the CDF of a natural discrete one parameter polynomial exponential distribution.

@article{Maiti2020OnEO, title={On estimation of the PMF and the CDF of a natural discrete one parameter polynomial exponential distribution.}, author={Sudhansu S. Maiti and Molay Kumar Ruidas and Sumanta Adhya}, journal={arXiv: Statistics Theory}, year={2020} }

In this article, a new natural discrete analog of the one parameter polynomial exponential(OPPE) distribution as a mixture of a number of negative binomial distributions has been proposed and is called as a natural discrete one parameter polynomial exponential (NDOPPE) distribution. This distribution is a generalized version of natural discrete Lindley (NDL) distribution, proposed and studied by Ahmed and Afify (2019). Two estimators viz., MLE and UMVUE of the PMF and the CDF of a NDOPPE…

## One Citation

Characterizations of Twenty (2020-2021) Proposed Discrete Distributions

- MathematicsPakistan Journal of Statistics and Operation Research
- 2021

In this paper, certain characterizations of twenty newly proposed discrete distributions: the discrete gen- eralized Lindley distribution of El-Morshedy et al.(2021), the discrete Gumbel distribution…

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