Research Article

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

@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

## 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.