Research Article
Estimation of Generalized Gompertz Distribution Parameters under Ranked-Set Sampling
Table 1
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 | | 0.140 | 0.392 | 0.405 | 0.392 | 0.403 | 1.015 | | 0.490 | 0.587 | 2.745 | 1.025 | 2.556 | RSS | 2 | 0.118 | 0.335 | 0.371 | 0.313 | 0.337 | 0.778 | | 0.363 | 0.467 | 1.286 | 0.836 | 1.644 | 5 | 0.066 | 0.224 | 0.312 | 0.229 | 0.298 | 0.638 | | 0.345 | 0.227 | | 0.520 | |
| | SRS | | 0.068 | 0.173 | 0.325 | 0.237 | 0.175 | 0.298 | | 0.249 | 0.186 | | 0.446 | | RSS | 2 | 0.055 | 0.149 | 0.305 | 0.209 | 0.156 | 0.258 | | 0.220 | 0.151 | | 0.410 | | 5 | 0.030 | 0.109 | 0.263 | 0.166 | 0.134 | 0.202 | | 0.187 | 0.092 | | 0.332 | |
| | SRS | | 0.023 | 0.060 | 0.221 | 0.128 | 0.064 | 0.079 | | 0.104 | 0.059 | | 0.233 | | RSS | 2 | 0.017 | 0.051 | 0.201 | 0.112 | 0.059 | 0.072 | | 0.098 | 0.045 | | 0.217 | | 5 | 0.011 | 0.040 | 0.168 | 0.088 | 0.050 | 0.059 | | 0.082 | 0.030 | | 0.182 | |
| | SRS | | 0.007 | 0.027 | 0.118 | 0.063 | 0.034 | 0.035 | | 0.054 | 0.024 | | 0.118 | | RSS | 2 | 0.010 | 0.024 | 0.108 | 0.054 | 0.028 | 0.031 | | 0.048 | 0.022 | | 0.111 | | 5 | 0.004 | 0.019 | 0.080 | 0.039 | 0.026 | 0.027 | | 0.039 | 0.015 | | 0.087 | |
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