Research Article

Bayesian Estimation of Two-Parameter Weibull Distribution Using Extension of Jeffreys' Prior Information with Three Loss Functions

Table 4

Mean squared error for .


0.50.40.80.02190.02200.02110.02070.02120.02260.01920.01900.02400.0231
0.50.41.20.05010.05160.04400.04590.04790.04920.03990.04290.05680.0515
0.51.40.80.02290.02450.02090.02170.02300.02320.01960.02240.02530.0239
250.51.41.20.04880.05560.05090.04860.05490.05150.04390.04840.05970.0570
1.50.40.80.02280.02290.01980.02050.02140.02250.01960.01980.02280.0230
1.50.41.20.04970.05110.04350.04450.05170.04870.04070.04210.05680.0491
1.51.40.80.02330.02490.02200.02310.02410.02350.01990.02220.02410.0253
1.51.41.20.05130.05840.04710.05150.05350.05450.04490.04860.06090.0587

0.50.40.80.00940.00930.00890.00850.00890.00930.00860.00830.00950.0096
0.50.41.20.02110.02130.02060.02000.02080.02040.01800.02020.02260.0207
0.51.40.80.00950.00980.00920.02070.00990.00930.00890.00880.00980.0095
500.51.41.20.02090.02230.02060.02020.02150.02140.02010.01990.02350.0235
1.50.40.80.00940.00940.00880.00870.00920.00930.00880.00850.00940.0100
1.50.41.20.02110.02130.01970.01970.02140.02050.01850.01880.02180.0216
1.51.40.80.00910.00940.00950.00890.00930.00960.00870.00890.02180.0216
1.51.41.20.02020.02150.02070.02010.02280.02240.02040.01980.02250.0224

0.50.40.80.00420.00420.00410.00410.00410.00420.00410.00420.00430.0043
0.50.41.20.00980.00990.00950.00920.00930.00970.00890.00910.00960.0099
0.51.40.80.00420.00430.00420.00420.00420.00410.00420.00430.00440.0044
1000.51.41.20.00960.00990.00960.00980.00970.00970.00910.00940.01010.0098
1.50.40.80.00440.00440.00420.00410.00420.00430.00420.00390.00420.0042
1.50.41.20.00920.00930.00940.00960.00960.00950.00920.00900.01000.0098
1.51.40.80.00430.00440.00420.00420.00420.00410.00390.00430.00430.0044
1.51.41.20.00940.00970.00970.00950.00980.00970.00880.00930.01000.0095

ML: maximum likelihood, BG: general entropy loss function, BL: LINEX loss function, BS: squared error loss function.