Kurniasari, Dian and Warsono, Warsono and Widiarti, Widiarti and Nabila, SU and indryani, N and Usman, Mustofa and Hadi, Sutopo (2022) THE COMPARISON OF THE EFFICIENCY OF THE METHODS OF PARAMETERS ESTIMATION FOR GENERALIZED BETA OF THE SECOND KIND (GB2) DISTRIBUTION. ARPN Journal of Engineering and Applied Sciences, 17 (14). pp. 462-474. ISSN 1819-6608
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Abstract
The generalize distribution from a classical distribution is performed by adding more parameters to the distribution that makes the distribution more flexible in analyzing empirical data and able to adjust the shape of empirical data. The generalization of this distribution produces a Beta Generalized of the first kind distribution or a GB2 distribution with three and four parameters. This paper will discuss the GB2 distribution with four parameters namely α, p and q as shape parameters while parameter b is the scale parameter. In statistical inference, especially parameter estimation, is needed in analyzing empirical data with this distribution. Obviously the estimation results obtained are expected to be a sound estimator, namely to meet the criteria of unbiasedness and minimum variance. The estimation results of the GB2 distribution parameters through simulations using the methods of moment, the Maximum Likelihood Estimation, and the Probability Weighted Moment. Based on the results from the simulation of the three estimation methods that the estimation of parameters by using the Maximum Likelihood Estimation is better than the method of Probability Weighted Moment and the method of moment where in a larger sample size gives a smaller bias and MSE value. Keywords: generalized beta 2 distribution; method of moment; maximum likelihood estimation; method of probability weighted moment.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > Q Science (General) |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika |
| Depositing User: | DIAN KURNIASARI |
| Date Deposited: | 02 Jun 2022 02:13 |
| Last Modified: | 02 Jun 2022 02:13 |
| URI: | http://repository.lppm.unila.ac.id/id/eprint/42029 |
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