Research Article
Bayesian Estimation of Inequality and Poverty Indices in Case of Pareto Distribution Using Different Priors under LINEX Loss Function
Table 4
Estimated loss functions for
using LINEX loss function.
| | |
Uniform prior |
Jeffrey’s prior | Conjugate prior | = 0.5 = 2 | = 2 = 2 |
| 20 | 2.5 | 0.003918 | 0.0016639 | 0.0015042 | 0.0037360 | 3.5 | 0.007714 | 0.0012619 | 0.0011718 | 0.0033510 | 4.5 | 0.006892 | 0.0006375 | 0.0006100 | 0.0033324 |
| 40 | 2.5 | 0.003030 | 0.0012092 | 0.0011452 | 0.0013573 | 3.5 | 0.001033 | 0.0007198 | 0.0007159 | 0.0016299 | 4.5 | 0.001099 | 0.0003325 | 0.0003235 | 0.0011149 |
| 60 | 2.5 | 0.002237 | 0.0009517 | 0.0008915 | 0.0011249 | 3.5 | 0.001652 | 0.0004774 | 0.0004483 | 0.0008925 | 4.5 | 0.001019 | 0.0002165 | 0.0002040 | 0.0005813 |
| 80 | 2.5 | 0.001769 | 0.0007372 | 0.0007191 | 0.0009047 | 3.5 | 0.001163 | 0.0003889 | 0.0003795 | 0.0006315 | 4.5 | 0.000659 | 0.0001677 | 0.0001622 | 0.0003924 |
| 100 | 2.5 | 0.001009 | 0.0006512 | 0.0005704 | 0.0007186 | 3.5 | 0.000465 | 0.0002854 | 0.0002770 | 0.0004269 | 4.5 | 0.000287 | 0.0001354 | 0.0001240 | 0.0002843 |
|
|