THE QUASI XGAMMA-POISSON DISTRIBUTION: PROPERTIES AND APPLICATION

Authors : Subhradev SEN, Mustafa Ç KORKMAZ, Haitham M YOUSOF

Pages : 65-76

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Publication Date : 2018-12-31

Article Type : Research Paper

Abstract :In this work, we introduce a new xgamma-Poisson lifetime model called the quasi xgamma- Poisson distribution. Some of its mathematical properties are derived. The proposed model can be motivated  with a physical motivation by compounding the quasi xgamma construction with the truncated Poisson  distribution. The quasi xgamma-Poisson model also motivated by the wide use of the xgamma distribution  in many applied areas as well as for the fact that the new generalization provides more flexibility to analyze  real data. We discuss the maximum likelihood estimation of the quasi xgamma-Poisson model parameters.  An application to illustrate that the proposed quasi xgamma-Poisson model provides consistently better fit  than the other competitive models.
Keywords : Xgamma Poisson life distributions, zero truncated poisson distribution, maximum likelihood estimation, order statistics