|
Parameter estimation of Pareto distribution: some modified moment estimators |
|---|---|
| รหัสดีโอไอ | |
| Creator | Sajjad Haider Bhatti |
| Title | Parameter estimation of Pareto distribution: some modified moment estimators |
| Contributor | Shahzad Hussain, Tanvir Ahmad, Muhammad Aftab, Muhammad Tahir |
| Publisher | Maejo University |
| Publication Year | 2561 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 12 |
| Journal No. | 1 |
| Page no. | 11 |
| Keyword | bootstrapping, method of moments, mean square error, modified moment estimators, Pareto distribution, total relative deviation |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | This article focuses on modified moment estimators for the parameter estimation of Pareto distribution. Four modified moment estimators are proposed and compared with the traditional method of moments estimation. The comparison is carried out through a simulation study using total relative deviation (TRD) and mean square error (MSE) as performance indicators. The simulation study was carried out using R-Language. Modified moment estimators based on mean of first-order statistics and expectation of empirical cumulative distribution function of first-order statistics are demonstrated to perform better than the traditional estimator and other modified moment estimators. The modified moment estimators perform much better when applied on real-life data where bootstrap MSE and TRD are used as performance measures. |
