A Quasi Poisson-Rama Distribution with Properties and Applications
DOI:
https://doi.org/10.13052/jrss0974-8024.1923Keywords:
Quasi Rama distribution, compounding, mathematical and statistical properties, estimation of parameters, simulation, applicationsAbstract
A quasi Poisson-Rama distribution has been introduced which is the Poisson compound of quasi Rama distribution. The moments based descriptive properties have been discussed. The proposed distribution is unimodal, has increasing hazard rate and over-dispersed. The estimation of parameters has been studied using the method of moments and the method of maximum likelihood. A simulation study has been done to test the performance of maximum likelihood estimators of parameters. Finally, the goodness of fit of the proposed distribution has been discussed with two discrete datasets, the first from biological sciences and the second from thunderstorms and compared with the goodness of fit of Poisson-Lindley distribution, Poisson-Akash distribution, Poisson-Sujatha distribution, Poisson-Rama distribution, quasi Poisson-Lindley distribution, quasi Poisson-Akash distribution and quasi Poisson-Sujatha distribution.
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