Table 3. AE and MSE of the MLEs and Bayes estimators for different values of n with .
MLE | Bayes (IP) | Bayes (NIP) | |||||
---|---|---|---|---|---|---|---|
n | Parameter | AE | MSE | AE | MSE | AE | MSE |
n=20 | α | 1.060 | 0.024 | 1.030 | 0.021 | 1.030 | 0.021 |
1.162 | 0.496 | 0.968 | 0.098 | 0.925 | 0.124 | ||
1.159 | 0.481 | 0.946 | 0.082 | 0.905 | 0.111 | ||
0.957 | 0.616 | 1.168 | 0.096 | 1.237 | 0.156 | ||
n=30 | α | 1.039 | 0.015 | 1.016 | 0.012 | 1.023 | 0.013 |
1.095 | 0.333 | 0.929 | 0.064 | 0.894 | 0.077 | ||
1.089 | 0.313 | 0.929 | 0.055 | 0.888 | 0.080 | ||
0.998 | 0.503 | 1.166 | 0.076 | 1.239 | 0.126 | ||
n=40 | α | 1.026 | 0.010 | 1.009 | 0.008 | 0.999 | 0.009 |
1.102 | 0.246 | 0.879 | 0.055 | 0.890 | 0.057 | ||
1.076 | 0.225 | 0.856 | 0.058 | 0.877 | 0.064 | ||
0.953 | 0.356 | 1.218 | 0.095 | 1.241 | 0.105 | ||
n=80 | α | 1.014 | 0.006 | 0.997 | 0.004 | 1.000 | 0.004 |
1.043 | 0.138 | 0.890 | 0.031 | 0.878 | 0.035 | ||
1.043 | 0.133 | 0.886 | 0.032 | 0.877 | 0.036 | ||
0.968 | 0.224 | 1.172 | 0.051 | 1.206 | 0.065 |