Table 6 MLEs, BEs and MSEs for MWED using θ = 2, σ = 2 and μ = 1.
n | MLE | SELF | PLF | QLF | ELF | |
---|---|---|---|---|---|---|
20 | θ | 2.0822 | 2.1347 | 2.1434 | 2.1223 | 2.0792 |
2.1371 | 0.0395 | 0.0463 | 0.0252 | 0.0136 | ||
σ | 2.1992 | 2.0704 | 2.1158 | 2.1255 | 2.1879 | |
0.9408 | 0.2108 | 0.1148 | 0.0553 | 0.0567 | ||
μ | 1.1197 | 1.0848 | 1.1198 | 1.0662 | 1.1024 | |
0.7065 | 0.1214 | 0.1241 | 0.0752 | 0.0501 | ||
50 | θ | 2.0808 | 2.0462 | 2.0517 | 2.082 | 2.0792 |
1.1630 | 0.0183 | 0.0126 | 0.0130 | 0.0035 | ||
σ | 2.1976 | 2.0337 | 2.0605 | 2.0954 | 2.1173 | |
0.4824 | 0.1561 | 0.0751 | 0.0291 | 0.0227 | ||
μ | 1.1181 | 1.0845 | 1.1057 | 1.0308 | 1.0797 | |
0.5847 | 0.0541 | 0.0536 | 0.0321 | 0.0197 | ||
100 | θ | 2.0007 | 2.0103 | 2.0136 | 2.0032 | 2.0039 |
0.5303 | 0.0133 | 0.0067 | 0.0024 | 0.0012 | ||
σ | 2.1649 | 2.0142 | 2.0339 | 1.9758 | 2.0914 | |
0.3812 | 0.0800 | 0.0191 | 0.0113 | 0.0145 | ||
μ | 1.0963 | 1.0120 | 1.0250 | 0.9733 | 1.0051 | |
0.2036 | 0.0147 | 0.0153 | 0.0164 | 0.0090 |