| Autor: |
Ahsan-ul-Haq, M., Irshad, M. R., Muhammed Ahammed, E. S., Maya, R. |
| Zdroj: |
Lobachevskii Journal of Mathematics; Sep2023, Vol. 44 Issue 9, p3647-3662, 16p |
| Abstrakt: |
The significance of applications in count data modeling to real-life scenarios has been emphasized in numerous studies. The present paper focuses on a discrete version of the Bilal distribution, the new discrete Bilal distribution and its structural properties. The proposed distribution's mathematical and statistical characteristics are thoroughly investigated. The model parameter estimation is carried out by maximum likelihood estimation, and a simulation study is performed. The performance of the proposed model is evaluated by real data analysis. The significance of the proposed distribution in time series is demonstrated with the associated INAR(1) process having innovations as the proposed model. The parameter estimation of the INAR(1) process is carried out using conditional maximum likelihood, conditional least squares and Yule–Walker estimation procedures, and real data is used to determine the empirical importance of the proposed process. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
Full text from SpringerLink