Research Article
Estimation of Generalized Gompertz Distribution Parameters under Ranked-Set Sampling
Table 2
Bias and MSE of the MLE and Bayes estimates under RSS and SRS for different sample sizes and different set sizes when
, , and
.
| | | | | MLE | Bayes | MLE | Bayes | MLE | Bayes | | Sampling | | Bias | MSE | Bias | MSE | Bias | MSE | Bias | MSE | Bias | MSE | Bias | MSE |
| | SRS | | | 1.139 | 0.487 | 1.148 | 1.146 | 5.389 | | 1.795 | | 0.185 | 0.145 | 0.211 | RSS | 2 | | 0.886 | 0.421 | 0.809 | 0.953 | 3.707 | | 1.327 | | 0.138 | 0.127 | 0.147 | 5 | | 0.535 | 0.300 | 0.459 | 0.832 | 2.918 | | 1.240 | | 0.051 | 0.081 | 0.057 |
| | SRS | | | 0.449 | 0.363 | 0.452 | 0.481 | 1.090 | | 0.454 | | 0.040 | 0.079 | 0.046 | RSS | 2 | | 0.372 | 0.320 | 0.372 | 0.430 | 0.925 | | 0.423 | | 0.031 | 0.071 | 0.036 | 5 | | 0.271 | 0.253 | 0.257 | 0.370 | 0.700 | | 0.328 | | 0.019 | 0.055 | 0.022 |
| | SRS | | | 0.172 | 0.280 | 0.217 | 0.170 | 0.241 | | 0.160 | | 0.012 | 0.049 | 0.015 | RSS | 2 | | 0.148 | 0.240 | 0.184 | 0.158 | 0.223 | | 0.164 | | 0.010 | 0.044 | 0.012 | 5 | | 0.112 | 0.207 | 0.140 | 0.134 | 0.180 | | 0.141 | | 0.007 | 0.038 | 0.008 |
| | SRS | | | 0.087 | 0.223 | 0.144 | 0.085 | 0.101 | | 0.112 | | 0.005 | 0.036 | 0.007 | RSS | 2 | | 0.075 | 0.198 | 0.121 | 0.070 | 0.090 | | 0.103 | | 0.005 | 0.033 | 0.006 | 5 | | 0.054 | 0.159 | 0.089 | 0.068 | 0.077 | | 0.093 | | 0.003 | 0.029 | 0.005 |
|
|