Proceedings of the 1st International Conference on Statistics and Analytics, ICSA 2019, 2-3 August 2019, Bogor, Indonesia

Research Article

A New Mixture Distribution for Extreme Excess Zeros: Negative Binomial-Generalized Exponential (NB-GE) Distribution

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  • @INPROCEEDINGS{10.4108/eai.2-8-2019.2290342,
        author={Junifsa Afly  Prameswari and Ida  Fithriani and Siti  Nurrohmah},
        title={A New Mixture Distribution for Extreme Excess Zeros: Negative Binomial-Generalized Exponential (NB-GE) Distribution},
        proceedings={Proceedings of the 1st International Conference on Statistics and Analytics, ICSA 2019, 2-3 August 2019, Bogor, Indonesia},
        publisher={EAI},
        proceedings_a={ICSA},
        year={2020},
        month={1},
        keywords={extreme excess zeros mixing method overdispersion},
        doi={10.4108/eai.2-8-2019.2290342}
    }
    
  • Junifsa Afly Prameswari
    Ida Fithriani
    Siti Nurrohmah
    Year: 2020
    A New Mixture Distribution for Extreme Excess Zeros: Negative Binomial-Generalized Exponential (NB-GE) Distribution
    ICSA
    EAI
    DOI: 10.4108/eai.2-8-2019.2290342
Junifsa Afly Prameswari1,*, Ida Fithriani1, Siti Nurrohmah1
  • 1: Department of Mathematics, Universitas Indonesia
*Contact email: ichajunifsa@sci.ui.ac.id

Abstract

Negative Binomial-Generalized Exponential (NB-GE) distribution is a distribution that capable for modeling overdispersion data with extreme excess zeros, which is more than 80% zeros in a data. The distribution is a mixture distribution that obtained by mixing the Negative Binomial (NB) distribution with the Generalized Exponential (GE) distribution. The formation of the Negative Binomial-Generalized Exponential (NB-GE) distribution and the characteristics of the Negative Binomial-Generalized Exponential (NB-GE) distribution such as the probability density function, kth moment, mean, variance, skewness and kurtosis are discussed in this paper. Estimation of the parameters from the Negative Binomial-Generalized Exponential (NB-GE) distribution using the maximum likelihood method. As an illustration, Negative Binomial-Generalized Exponential (NB-GE) distribution used to model the data of fatal crash that has more than 80% zeros.