Research Article
Efficient Estimation of the Generalized Quasi-Lindley Distribution Parameters under Ranked Set Sampling and Applications
Table 8
Es, MSE, and Eff values using the WLS, CV, and AD methods for the GQLD model parameters with
, under SRS and RSS.
| | | ā | Method | WLS | CV | AD | Es | MSE | Eff | Es | MSE | Eff | Es | MSE | Eff |
| 3 | 5 | | SRS | 2.391 | 5.397 | 2.435 | 2.391 | 5.488 | 2.387 | 2.368 | 5.233 | 2.436 | RSS | 1.942 | 2.216 | 1.945 | 2.299 | 1.928 | 2.148 | | SRS | 0.821 | 0.024 | 2.400 | 0.828 | 0.025 | 2.500 | 0.820 | 0.023 | 2.556 | RSS | 0.803 | 0.010 | 0.810 | 0.010 | 0.803 | 0.009 | 10 | | SRS | 1.953 | 2.445 | 7.570 | 1.955 | 2.494 | 7.581 | 1.943 | 2.363 | 7.550 | RSS | 1.610 | 0.323 | 1.605 | 0.329 | 1.601 | 0.313 | | SRS | 0.807 | 0.010 | 3.333 | 0.811 | 0.010 | 3.333 | 0.807 | 0.010 | 5.000 | RSS | 0.800 | 0.003 | 0.804 | 0.003 | 0.800 | 0.002 | 15 | | SRS | 1.724 | 1.135 | 9.538 | 1.722 | 1.151 | 9.672 | 1.721 | 1.117 | 9.466 | RSS | 1.550 | 0.119 | 1.545 | 0.119 | 1.548 | 0.118 | | SRS | 0.800 | 0.006 | 6.000 | 0.803 | 0.006 | 6.000 | 0.800 | 0.006 | 6.000 | RSS | 0.799 | 0.001 | 0.803 | 0.001 | 0.800 | 0.001 |
| 4 | 5 | | SRS | 2.110 | 3.811 | 1.948 | 2.110 | 3.880 | 1.952 | 2.105 | 3.750 | 1.982 | RSS | 1.878 | 1.956 | 1.875 | 1.988 | 1.867 | 1.892 | | SRS | 0.807 | 0.017 | 1.889 | 0.813 | 0.018 | 2.000 | 0.807 | 0.016 | 2.000 | RSS | 0.802 | 0.009 | 0.808 | 0.009 | 0.802 | 0.008 | 10 | | SRS | 1.832 | 1.623 | 6.734 | 1.832 | 1.652 | 6.826 | 1.826 | 1.579 | 6.662 | RSS | 1.579 | 0.241 | 1.574 | 0.242 | 1.578 | 0.237 | | SRS | 0.805 | 0.007 | 3.500 | 0.808 | 0.007 | 3.500 | 0.805 | 0.007 | 3.500 | RSS | 0.800 | 0.002 | 0.803 | 0.002 | 0.800 | 0.002 | 15 | | SRS | 1.737 | 0.897 | 9.153 | 1.735 | 0.905 | 9.235 | 1.736 | 0.894 | 9.122 | RSS | 1.538 | 0.098 | 1.534 | 0.098 | 1.536 | 0.098 | | SRS | 0.806 | 0.005 | 5.000 | 0.808 | 0.005 | 5.000 | 0.806 | 0.005 | 5.000 | RSS | 0.799 | 0.001 | 0.802 | 0.001 | 0.800 | 0.001 | 5 | 5 | | SRS | 1.984 | 2.778 | 2.338 | 1.986 | 2.838 | 2.313 | 1.973 | 2.681 | 2.335 | RSS | 1.776 | 1.188 | 1.774 | 1.227 | 1.763 | 1.148 | | SRS | 0.805 | 0.013 | 2.167 | 0.810 | 0.013 | 2.167 | 0.805 | 0.012 | 2.000 | RSS | 0.802 | 0.006 | 0.807 | 0.006 | 0.801 | 0.006 | 10 | | SRS | 1.702 | 1.078 | 5.704 | 1.701 | 1.097 | 5.743 | 1.697 | 1.053 | 5.571 | RSS | 1.564 | 0.189 | 1.560 | 0.191 | 1.565 | 0.189 | | SRS | 0.799 | 0.006 | 3.000 | 0.802 | 0.006 | 3.000 | 0.799 | 0.006 | 3.000 | RSS | 0.800 | 0.002 | 0.803 | 0.002 | 0.800 | 0.002 | 15 | | SRS | 1.696 | 0.736 | 8.867 | 1.695 | 0.746 | 8.988 | 1.696 | 0.736 | 8.976 | RSS | 1.531 | 0.083 | 1.528 | 0.083 | 1.529 | 0.082 | | SRS | 0.804 | 0.004 | 4.000 | 0.806 | 0.004 | 4.000 | 0.803 | 0.004 | 4.000 | RSS | 0.799 | 0.001 | 0.801 | 0.001 | 0.800 | 0.001 |
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