Research Article
Efficient Estimation of the Generalized Quasi-Lindley Distribution Parameters under Ranked Set Sampling and Applications
Table 2
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 | 1.564 | 2.945 | 2.694 | 1.556 | 2.982 | 2.696 | 1.555 | 2.863 | 2.706 | RSS | 1.274 | 1.093 | 1.260 | 1.106 | 1.274 | 1.058 | | SRS | 1.019 | 0.036 | 2.250 | 1.027 | 0.037 | 2.312 | 1.019 | 0.033 | 2.200 | RSS | 1.003 | 0.016 | 1.012 | 0.016 | 1.005 | 0.015 | 10 | | SRS | 1.309 | 1.296 | 9.818 | 1.302 | 1.310 | 10.000 | 1.305 | 1.252 | 10.097 | RSS | 1.068 | 0.132 | 1.058 | 0.131 | 1.063 | 0.124 | | SRS | 1.013 | 0.016 | 4.000 | 1.018 | 0.016 | 4.000 | 1.013 | 0.015 | 3.750 | RSS | 1.000 | 0.004 | 1.005 | 0.004 | 1.001 | 0.004 | 15 | | SRS | 1.197 | 0.635 | 12.700 | 1.191 | 0.638 | 12.760 | 1.197 | 0.637 | 13.271 | RSS | 1.030 | 0.050 | 1.023 | 0.050 | 1.028 | 0.048 | | SRS | 1.010 | 0.011 | 5.500 | 1.013 | 0.011 | 5.500 | 1.009 | 0.011 | 5.500 | RSS | 0.999 | 0.002 | 1.003 | 0.002 | 1.000 | 0.002 |
| 4 | 5 | | SRS | 1.431 | 2.163 | 2.935 | 1.425 | 2.189 | 2.966 | 1.424 | 2.082 | 2.900 | RSS | 1.189 | 0.737 | 1.175 | 0.738 | 1.183 | 0.718 | | SRS | 1.012 | 0.024 | 2.000 | 1.019 | 0.024 | 2.000 | 1.013 | 0.022 | 2.000 | RSS | 1.001 | 0.012 | 1.008 | 0.012 | 1.001 | 0.011 | 10 | | SRS | 1.211 | 0.699 | 7.358 | 1.205 | 0.706 | 7.432 | 1.205 | 0.677 | 7.280 | RSS | 1.050 | 0.095 | 1.042 | 0.095 | 1.048 | 0.093 | | SRS | 1.012 | 0.011 | 3.667 | 1.015 | 0.011 | 3.667 | 1.011 | 0.01 | 3.333 | RSS | 1.000 | 0.003 | 1.004 | 0.003 | 1.001 | 0.003 | 15 | | SRS | 1.101 | 0.323 | 7.512 | 1.096 | 0.324 | 7.535 | 1.100 | 0.318 | 7.571 | RSS | 1.017 | 0.043 | 1.011 | 0.043 | 1.016 | 0.042 | | SRS | 1.002 | 0.007 | 7.000 | 1.004 | 0.007 | 7.000 | 1.002 | 0.007 | 7.000 | RSS | 0.998 | 0.001 | 1.001 | 0.001 | 0.999 | 0.001 |
| 5 | 5 | | SRS | 1.386 | 1.810 | 3.635 | 1.380 | 1.840 | 3.651 | 1.381 | 1.792 | 3.913 | RSS | 1.147 | 0.498 | 1.135 | 0.504 | 1.139 | 0.458 | | SRS | 1.012 | 0.021 | 2.333 | 1.018 | 0.022 | 2.444 | 1.011 | 0.020 | 2.222 | RSS | 1.000 | 0.009 | 1.006 | 0.009 | 1.000 | 0.009 | 10 | | SRS | 1.160 | 0.523 | 6.226 | 1.155 | 0.529 | 6.298 | 1.157 | 0.513 | 6.256 | RSS | 1.042 | 0.084 | 1.035 | 0.084 | 1.040 | 0.082 | | SRS | 1.005 | 0.010 | 3.333 | 1.008 | 0.010 | 3.333 | 1.005 | 0.010 | 3.333 | RSS | 1.001 | 0.003 | 1.004 | 0.003 | 1.001 | 0.003 | 15 | | SRS | 1.073 | 0.236 | 7.613 | 1.069 | 0.237 | 7.645 | 1.074 | 0.237 | 7.645 | RSS | 1.021 | 0.031 | 1.016 | 0.031 | 1.019 | 0.031 | | SRS | 1.000 | 0.006 | 6.000 | 1.002 | 0.006 | 6.000 | 1.000 | 0.006 | 6.000 | RSS | 1.000 | 0.001 | 1.003 | 0.001 | 1.001 | 0.001 |
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