Research Article
Inferences for Generalized Pareto Distribution Based on Progressive First-Failure Censoring Scheme
Table 5
MSE of MLEs and BEs with true values.
| | | | | | | | BL | BG | | | | 1 | | 1 |
| 1 | 30 | 20 | I | | 0.157 6 | 0.092 0 | 0.092 1 | 0.092 0 | 0.092 0 | 0.091 9 | | 0.788 4 | 0.571 1 | 0.574 4 | 0.566 9 | 0.571 1 | 0.565 5 | | 0.025 6 | 0.022 3 | 0.022 9 | 0.022 3 | 0.022 3 | 0.021 6 | | 0.005 6 | 0.004 2 | 0.004 2 | 0.004 1 | 0.004 2 | 0.004 0 | II | | 0.169 9 | 0.092 2 | 0.092 2 | 0.092 1 | 0.092 2 | 0.091 9 | | 0.826 8 | 0.573 5 | 0.577 0 | 0.568 0 | 0.573 5 | 0.558 4 | | 0.025 8 | 0.023 6 | 0.023 6 | 0.023 1 | 0.023 6 | 0.022 1 | | 0.005 8 | 0.004 4 | 0.004 4 | 0.004 2 | 0.004 4 | 0.004 1 | III | | 0.180 1 | 0.095 6 | 0.095 7 | 0.093 9 | 0.095 6 | 0.093 8 | | 0.831 4 | 0.578 8 | 0.578 9 | 0.569 5 | 0.578 8 | 0.559 5 | | 0.025 9 | 0.023 7 | 0.023 9 | 0.023 5 | 0.023 7 | 0.022 7 | | 0.006 1 | 0.004 6 | 0.004 8 | 0.004 5 | 0.004 6 | 0.004 3 |
| 5 | 30 | 20 | I | | 0.158 8 | 0.095 1 | 0.095 2 | 0.094 8 | 0.095 1 | 0.094 4 | | 0.645 3 | 0.571 7 | 0.574 8 | 0.567 3 | 0.571 7 | 0.566 3 | | 0.016 0 | 0.015 1 | 0.014 9 | 0.014 7 | 0.015 1 | 0.014 6 | | 0.004 9 | 0.004 1 | 0.004 2 | 0.004 0 | 0.004 1 | 0.003 9 | II | | 0.159 7 | 0.096 7 | 0.096 5 | 0.096 3 | 0.096 7 | 0.095 3 | | 0.668 0 | 0.572 4 | 0.575 1 | 0.568 2 | 0.572 4 | 0.567 4 | | 0.016 8 | 0.015 2 | 0.015 3 | 0.014 9 | 0.015 2 | 0.014 8 | | 0.005 2 | 0.004 6 | 0.004 9 | 0.004 5 | 0.004 6 | 0.004 3 | III | | 0.160 2 | 0.096 9 | 0.097 6 | 0.096 8 | 0.096 9 | 0.095 7 | | 0.669 2 | 0.575 5 | 0.578 3 | 0.568 4 | 0.575 5 | 0.568 3 | | 0.017 5 | 0.015 7 | 0.015 8 | 0.015 5 | 0.015 7 | 0.015 2 | | 0.005 7 | 0.004 7 | 0.005 1 | 0.004 8 | 0.004 7 | 0.004 5 |
| 1 | 30 | 25 | I | | 0.150 1 | 0.088 6 | 0.088 9 | 0.088 5 | 0.088 6 | 0.088 1 | | 0.786 1 | 0.567 9 | 0.568 0 | 0.559 3 | 0.567 9 | 0.527 5 | | 0.025 4 | 0.021 8 | 0.022 2 | 0.021 7 | 0.021 8 | 0.021 5 | | 0.005 3 | 0.004 0 | 0.004 1 | 0.003 9 | 0.004 0 | 0.003 6 | II | | 0.152 4 | 0.089 7 | 0.089 8 | 0.088 9 | 0.089 7 | 0.088 6 | | 0.795 2 | 0.568 3 | 0.568 5 | 0.559 6 | 0.568 3 | 0.529 7 | | 0.025 9 | 0.023 1 | 0.023 9 | 0.022 9 | 0.023 1 | 0.022 7 | | 0.005 4 | 0.004 1 | 0.004 2 | 0.004 0 | 0.004 1 | 0.003 8 | III | | 0.153 7 | 0.089 8 | 0.089 9 | 0.089 2 | 0.089 8 | 0.088 9 | | 0.795 9 | 0.569 2 | 0.569 5 | 0.560 8 | 0.569 2 | 0.534 3 | | 0.026 6 | 0.024 6 | 0.024 8 | 0.024 5 | 0.024 6 | 0.023 9 | | 0.005 5 | 0.004 5 | 0.004 8 | 0.004 4 | 0.004 5 | 0.004 1 |
| 5 | 30 | 25 | I | | 0.150 4 | 0.089 4 | 0.089 8 | 0.089 3 | 0.089 4 | 0.088 3 | | 0.642 2 | 0.568 2 | 0.568 7 | 0.559 5 | 0.568 2 | 0.536 1 | | 0.015 2 | 0.014 3 | 0.014 4 | 0.014 2 | 0.014 3 | 0.014 1 | | 0.004 1 | 0.003 8 | 0.003 9 | 0.003 7 | 0.003 8 | 0.003 4 | II | | 0.151 7 | 0.092 6 | 0.092 8 | 0.092 5 | 0.092 6 | 0.092 3 | | 0.652 1 | 0.569 1 | 0.569 5 | 0.559 8 | 0.569 1 | 0.536 9 | | 0.016 1 | 0.014 6 | 0.014 5 | 0.014 3 | 0.014 6 | 0.014 2 | | 0.004 7 | 0.004 1 | 0.004 2 | 0.003 9 | 0.004 1 | 0.003 7 | III | | 0.153 7 | 0.095 4 | 0.095 9 | 0.095 1 | 0.095 4 | 0.093 6 | | 0.654 7 | 0.569 5 | 0.570 7 | 0.561 7 | 0.569 5 | 0.548 7 | | 0.016 6 | 0.014 9 | 0.015 2 | 0.015 1 | 0.014 9 | 0.014 3 | | 0.005 2 | 0.004 5 | 0.004 7 | 0.004 2 | 0.004 5 | 0.003 9 |
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