Research Article
Bayesian Estimation of Inequality and Poverty Indices in Case of Pareto Distribution Using Different Priors under LINEX Loss Function
Table 3
Estimated loss functions for M using LINEX loss function.
| | |
Uniform prior |
Jeffrey’s prior | Conjugate prior | = 0.5 = 2 | = 2 = 2 |
| 20 | 2.5 | 0.073957 | 0.0657402 | 0.026145 | 0.056465 | 3.5 |
0.061835 | 0.0558135 | 0.015994 | 0.046743 | 4.5 | 0.056649 | 0.0418561 | 0.012289 | 0.035673 |
| 40 | 2.5 | 0.073204 | 0.0555914 | 0.025888 | 0.043674 | 3.5 | 0.060616 | 0.0466542 | 0.016802 | 0.040301 | 4.5 | 0.055089 | 0.0435518 | 0.013802 | 0.031533 |
| 60 | 2.5 | 0.072393 | 0.0458580 | 0.026035 | 0.039373 | 3.5 | 0.059386 | 0.0376830 | 0.017845 | 0.036373 | 4.5 | 0.053528 | 0.0352241 | 0.015377 | 0.025377 |
| 80 | 2.5 | 0.071778 | 0.0360502 | 0.026361 | 0.030012 | 3.5 | 0.058222 | 0.0286558 | 0.018818 | 0.029733 | 4.5 | 0.051894 | 0.0267040 | 0.016845 | 0.020345 |
| 100 | 2.5 | 0.071070 | 0.0263228 | 0.020575 | 0.027973 | 3.5 | 0.057185 | 0.0196096 | 0.019812 | 0.028732 | 4.5 | 0.030343 | 0.0183061 | 0.018161 | 0.019637 |
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