Research Article
Bayesian Estimation of Inequality and Poverty Indices in Case of Pareto Distribution Using Different Priors under LINEX Loss Function
Table 2
Estimated loss functions for G using LINEX loss function.
| | |
Uniform prior |
Jeffrey’s prior | Conjugate prior | = 0.5 = 2 | = 2 = 2 |
| 20 | 2.5 | 0.003944 | 0.0031157 | 0.002672 | 0.057322 | 3.5 | 0.000849 | 0.0007378 | 0.000700 | 0.016733 | 4.5 | 0.000671 | 0.0005303 | 0.000463 | 0.009637 |
| 40 | 2.5 | 0.001503 | 0.0011873 | 0.000963 | 0.008362 | 3.5 | 0.000642 | 0.0005590 | 0.000516 | 0.003782 | 4.5 | 0.000314 | 0.0002975 | 0.000197 | 0.002782 |
| 60 | 2.5 | 0.000811 | 0.0007397 | 0.000692 | 0.006373 | 3.5 | 0.000415 | 0.0003852 | 0.000319 | 0.001783 | 4.5 | 0.000200 | 0.0001726 | 0.000159 | 0.000873 |
| 80 | 2.5 | 0.000687 | 0.0006286 | 0.000586 | 0.002637 | 3.5 | 0.000298 | 0.0002746 | 0.000189 | 0.000978 | 4.5 | 0.000141 | 0.0001403 | 0.000116 | 0.000512 |
| 100 | 2.5 | 0.000611 | 0.0005395 | 0.000483 | 0.001032 | 3.5 | 0.000231 | 0.0002250 | 0.000102 | 0.000822 | 4.5 | 0.000115 | 0.0001073 | 0.000083 | 0.000421 |
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