Research Article
Efficient Estimation of the Generalized Quasi-Lindley Distribution Parameters under Ranked Set Sampling and Applications
Table 4
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 | 1.568 | 2.927 | 2.468 | 1.556 | 2.957 | 2.436 | 1.544 | 2.855 | 2.704 | RSS | 1.301 | 1.186 | 1.290 | 1.214 | 1.283 | 1.056 | | SRS | 3.054 | 0.317 | 2.142 | 3.079 | 0.321 | 2.140 | 3.049 | 0.296 | 2.193 | RSS | 3.020 | 0.148 | 3.046 | 0.150 | 3.019 | 0.135 | 10 | | SRS | 1.239 | 1.031 | 7.931 | 1.234 | 1.049 | 8.069 | 1.238 | 1.026 | 7.892 | RSS | 1.064 | 0.130 | 1.054 | 0.130 | 1.061 | 0.130 | | SRS | 3.016 | 0.136 | 3.886 | 3.031 | 0.137 | 3.806 | 3.017 | 0.132 | 3.771 | RSS | 3.000 | 0.035 | 3.015 | 0.036 | 3.001 | 0.035 | 15 | | SRS | 1.203 | 0.646 | 12.667 | 1.197 | 0.650 | 13.000 | 1.199 | 0.634 | 12.939 | RSS | 1.033 | 0.051 | 1.026 | 0.050 | 1.030 | 0.049 | | SRS | 3.033 | 0.095 | 6.333 | 3.044 | 0.096 | 6.400 | 3.031 | 0.092 | 6.571 | RSS | 2.999 | 0.015 | 3.010 | 0.015 | 3.001 | 0.014 |
| 4 | 5 | | SRS | 1.416 | 2.001 | 3.863 | 1.409 | 2.034 | 3.919 | 1.407 | 1.950 | 4.088 | RSS | 1.115 | 0.518 | 1.101 | 0.519 | 1.106 | 0.477 | | SRS | 3.036 | 0.229 | 2.489 | 3.056 | 0.230 | 2.500 | 3.035 | 0.208 | 2.419 | RSS | 2.976 | 0.092 | 2.997 | 0.092 | 2.976 | 0.086 | 10 | | SRS | 1.154 | 0.578 | 5.959 | 1.147 | 0.584 | 6.021 | 1.154 | 0.587 | 6.115 | RSS | 1.053 | 0.097 | 1.045 | 0.097 | 1.050 | 0.096 | | SRS | 3.009 | 0.095 | 3.519 | 3.021 | 0.096 | 3.556 | 3.009 | 0.093 | 3.577 | RSS | 3.003 | 0.027 | 3.015 | 0.027 | 3.004 | 0.026 | 15 | | SRS | 1.111 | 0.338 | 8.895 | 1.106 | 0.338 | 8.895 | 1.111 | 0.333 | 9.000 | RSS | 1.013 | 0.038 | 1.007 | 0.038 | 1.012 | 0.037 | | SRS | 3.012 | 0.065 | 5.417 | 3.020 | 0.065 | 5.417 | 3.011 | 0.064 | 5.333 | RSS | 2.993 | 0.012 | 3.002 | 0.012 | 2.995 | 0.012 | 5 | 5 | | SRS | 1.347 | 1.291 | 3.126 | 1.338 | 1.299 | 3.138 | 1.338 | 1.276 | 3.198 | RSS | 1.134 | 0.413 | 1.123 | 0.414 | 1.128 | 0.399 | | SRS | 3.048 | 0.172 | 2.263 | 3.065 | 0.174 | 2.260 | 3.047 | 0.164 | 2.247 | RSS | 3.008 | 0.076 | 3.025 | 0.077 | 3.007 | 0.073 | 10 | | SRS | 1.119 | 0.400 | 5.970 | 1.114 | 0.404 | 6.030 | 1.114 | 0.385 | 5.833 | RSS | 1.023 | 0.067 | 1.016 | 0.067 | 1.022 | 0.066 | | SRS | 3.007 | 0.077 | 3.850 | 3.017 | 0.078 | 3.900 | 3.005 | 0.076 | 4.000 | RSS | 2.993 | 0.020 | 3.003 | 0.020 | 2.994 | 0.019 | 15 | | SRS | 1.107 | 0.247 | 7.719 | 1.103 | 0.246 | 7.688 | 1.106 | 0.244 | 7.871 | RSS | 1.022 | 0.032 | 1.017 | 0.032 | 1.021 | 0.031 | | SRS | 3.018 | 0.054 | 5.400 | 3.025 | 0.054 | 5.400 | 3.016 | 0.053 | 5.889 | RSS | 3.002 | 0.010 | 3.009 | 0.010 | 3.003 | 0.009 |
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