Bayesian Analysis of Three-Parameter Frechet Distribution with Medical Applications
Table 1
Average estimates for ,, and and MSEs (within parenthesis).
Methods
25
ML
1.0846 (0.2084)
2.1346 (1.0679)
2.9279 (0.4305)
BLNP
0.9628 (0.1912)
1.9780 (1.0348)
2.8178 (0.4774)
BGENP
1.0412 (0.1562)
1.9997 (0.8626)
2.8577 (0.4294)
BLGP
0.9616 (0.1911)
1.9777 (1.0345)
2.8172 (0.4779)
BGEGP
0.9589 (0.1768)
1.8765 (0.9230)
2.7209 (0.4913)
50
ML
1.0066 (0.0455)
1.9707 (0.2594)
3.0378 (0.0710)
BLNP
0.9054 (0.0514)
1.8329 (0.2807)
2.9466 (0.0768)
BGENP
0.9818 (0.0423)
1.8764 (0.2473)
2.9920 (0.0628)
BLGP
0.9042 (0.0516)
1.8328 (0.2807)
2.9459 (0.0770)
BGEGP
0.9080 (0.0452)
1.7590 (0.2697)
2.8678 (0.0927)
70
ML
0.9956 (0.0269)
1.9795 (0.1822)
3.0394 (0.0569)
BLNP
0.9035 (0.0344)
1.8503 (0.2008)
2.9569 (0.0605)
BGENP
0.9763 (0.0258)
1.8987 (0.1769)
3.0038 (0.0474)
BLGP
0.9023 (0.0346)
1.8500 (0.2008)
2.9561 (0.0606)
BGEGP
0.9063 (0.0309)
1.7827 (0.2000)
2.8909 (0.0717)
100
ML
1.0127 (0.0212)
2.0353 (0.1197)
3.0051 (0.0386)
BLNP
0.9296 (0.0246)
1.9157 (0.1235)
2.9306 (0.0456)
BGENP
0.9975 (0.0201)
1.9672 (0.1116)
2.9778 (0.0302)
BLGP
0.9284 (0.0248)
1.9154 (0.1235)
2.9299 (0.0457)
BGEGP
0.9307 (0.0225)
1.8522 (0.1236)
2.8773 (0.0568)
MLE: maximum likelihood estimator; BLNP: Bayesian estimator under LINEX loss function with noninformative prior; BGENP: Bayesian estimator under general entropy loss function with noninformative prior; BLGP: Bayesian estimator under LINEX loss function with gamma prior; BGEGP: Bayesian estimator under general entropy loss function with gamma prior.
