Poisson Xgamma distribution: A discrete model for count data analysis
Bilal Ahmad Para, Tariq Rashid Jan, Hassan S. Bakouch
Abstract
In this article, we attempt to introduce a count data model which is obtained by compounding Poisson distribution with Xgamma distribution. Important mathematical and statistical properties of the distribution have been derived and discussed. Parameter estimation is discussed using the maximum like lihood method of estimation followed by Monte Carlo simulation to investigate the behavior of the ML estimators. Finally, two real-life data sets are analyzed to investigate the suitability of the proposed distribution in modeling count data.
Topics & Concepts
Count dataPoisson distributionEstimatorStatisticsMonte Carlo methodDistribution (mathematics)Applied mathematicsZero-inflated modelPoisson regressionMathematicsComputer scienceStatistical physicsMathematical analysisPhysicsPopulationSociologyDemographyStatistical Distribution Estimation and ApplicationsStatistical Methods and Bayesian InferenceBayesian Methods and Mixture Models