• Corpus ID: 220381148

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… 
Characterizations of Twenty (2020-2021) Proposed Discrete Distributions
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References

SHOWING 1-10 OF 32 REFERENCES
A New Discrete Analog of the Continuous Lindley Distribution, with Reliability Applications
TLDR
A new probability mass function is proposed by creating a natural discrete analog to the continuous Lindley distribution as a mixture of geometric and negative binomial distributions that has many interesting properties.
The Discrete Normal Distribution
Abstract The normal distribution has been playing a key role in stochastic modeling for a continuous setup. But its distribution function does not have an analytical form. Moreover, the distribution
Discrete Rayleigh distribution
  • D. Roy
  • Computer Science
    IEEE Transactions on Reliability
  • 2004
TLDR
Using a general approach for discretization of continuous life distributions in the univariate & bivariate situations, a discrete Rayleigh distribution is proposed, which can replace the much relied upon simulation method.
Estimation in the pareto distribution
The unique minimum variance unbiased (UMVU) estimate of the probability distribution function of the Pareto distribution is derived. It is shown that the distribution function and therth moment
Evaluation and comparison of estimations in the generalized exponential-Poisson distribution
The uniformly minimum variance unbiased, maximum-likelihood, percentile and least-squares estimators of the probability density function and the cumulative distribution function are derived for the
A NEW AND UNIFIED APPROACH IN GENERALIZING THE LINDLEY’S DISTRIBUTION WITH APPLICATIONS
Abstract This paper proposes a new family of continuous distributions with one extra shape parameter called the generalized Zeghdoudi distributions (GZD). We investigate the shapes of the density and
The discrete Lindley distribution: properties and applications
Modelling count data is one of the most important issues in statistical research. In this paper, a new probability mass function is introduced by discretizing the continuous failure model of the
Another generalization of the geometric distribution
A new generalization of the geometric distribution with parameters α>0 and 0<θ<1 is obtained in this paper. This can be done either by using the Marshall and Olkin (Biometrika 84(3), 641–652, 1997)
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