2020/08/04 by Indrani Mukherjee, Mukherjee, Indrani, Sudhansu S. Maiti +3
Computer Science · Decision Sciences · Mathematics · #Bayesian Methods and Mixture Models #FOS: Mathematics #Probability and Risk Models #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST) #math.ST #stat.TH
paper · pdf · doi:10.48550/arxiv.2008.01720
arxiv created 2020/08/04 · openalex publication_date 2020/08/04 · arxiv updated 2020/08/05 · openalex created_date 2020/08/10 · openalex updated_date 2026/07/28
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 distribution have been derived. The estimators have been compared with respect to their MSEs. Simulation study has been conducted to verify the consistency of the estimators. A real data illustration has been reported.