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Characterisation of the multivariate negative binomial-generalised exponential distribution |
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| รหัสดีโอไอ | |
| Creator | 1. Winai Bodhisuwan 2. Sirinapa Aryuyuen |
| Title | Characterisation of the multivariate negative binomial-generalised exponential distribution |
| Publisher | Maejo University |
| Publication Year | 2559 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 10 |
| Journal No. | 2 |
| Page no. | 197 |
| Keyword | bivariate count data,multivariate count data,negative binomial-generalised exponential,over-dispersion,mixed negative binomial |
| ISSN | 1905-7873 |
| Abstract | The negative binomial-generalised exponential distribution was recently developed. A multivariate negative binomial-generalised exponential (MNB-GE) distribution is consequently introduced and applied in a multivariate count data analysis. Some probabilistic properties of the proposed distribution are studied. A bivariate negative binomial-generalised exponential distribution is also shown as a special case of the MNB-GE distribution. Joint probability functions and characteristics of the proposed distributions are derived. We also consider both dependent and independent bivariate random variables. The maximum likelihood estimation technique is used to estimate the parameters of the proposed distributions. Furthermore, the application of accidents data is illustrated for both the univariate and bivariate versions. |
