Research Article
Bayes Estimation of a Two-Parameter Geometric Distribution under Multiply Type II Censoring
Table 8
The bayes estimators and their risks under GELF.*
| a | b | | | | | | | | | | | | | | | | | | |
| | 1 | 5 | 0.2998 | 0.2654 | 3 | 0.2887 | 0.2400 | 3 | 0.2848 | 0.2310 | | 0.38165 | 0.04352 | 0.11424 | 0.000 | 0.01142 | 0.03371 | 0.000 | 0.04648 | 0.14289 | | 2 | 5 | 0.3070 | 0.2551 | 3 | 0.2961 | 0.2302 | 3 | 0.2924 | 0.2214 | | 0.38165 | 0.04071 | 0.12074 | 0.000 | 0.01054 | 0.03619 | 0.000 | 0.04272 | 0.15354 | 7 | 3 | 5 | 0.3141 | 0.2454 | 3 | 0.3034 | 0.2209 | 3 | 0.2998 | 0.2123 | 0.38165 | 0.04029 | 0.13513 | 0.000 | 0.01031 | 0.04029 | 0.000 | 0.04154 | 0.17015 | | 5 | 5 | 0.3278 | 0.2273 | 3 | 0.3176 | 0.2037 | 3 | 0.3141 | 0.1955 | | 0.38165 | 0.04513 | 0.18951 | 0.000 | 0.01147 | 0.05291 | 0.000 | 0.04608 | 0.21865 | | 7 | 5 | 0.3409 | 0.2108 | 3 | 0.3312 | 0.1882 | 3 | 0.3278 | 0.1803 | | 0.38165 | 0.05565 | 0.28154 | 0.000 | 0.01445 | 0.07071 | 0.000 | 0.05858 | 0.28386 | | 9 | 5 | 0.3536 | 0.1959 | 3 | 0.3442 | 0.1742 | 3 | 0.3410 | 0.1666 | | 0.38165 | 0.07015 | 0.41591 | 0.000 | 0.01895 | 0.09296 | 0.000 | 0.07779 | 0.36221 |
| 1 | | 5 | 0.3352 | 0.2207 | 3 | 0.3242 | 0.1954 | 3 | 0.3204 | 0.1865 | | 0.38165 | 0.05614 | 0.28525 | 0.000 | 0.01477 | 0.07138 | 0.000 | 0.05999 | 0.28830 | 3 | | 5 | 0.3279 | 0.2290 | 3 | 0.3170 | 0.2040 | 3 | 0.3132 | 0.1952 | | 0.38165 | 0.04933 | 0.21658 | 0.000 | 0.01271 | 0.05856 | 0.000 | 0.05130 | 0.24075 | 5 | | 5 | 0.3208 | 0.2373 | 3 | 0.3101 | 0.2125 | 3 | 0.3063 | 0.2038 | | 0.38165 | 0.04397 | 0.16824 | 0.000 | 0.01124 | 0.04829 | 0.000 | 0.04524 | 0.20161 | 7 | 3 | 5 | 0.3141 | 0.2454 | 3 | 0.3034 | 0.2209 | 3 | 0.2998 | 0.2123 | 0.38165 | 0.04029 | 0.13513 | 0.000 | 0.01031 | 0.04029 | 0.000 | 0.04154 | 0.17015 | 8 | | 5 | 0.3108 | 0.2494 | 3 | 0.3002 | 0.2251 | 3 | 0.2966 | 0.2165 | | 0.38165 | 0.03907 | 0.12310 | 0.000 | 0.01003 | 0.03706 | 0.000 | 0.04049 | 0.15711 | 9 | | 5 | 0.3076 | 0.2534 | 3 | 0.2971 | 0.2293 | 3 | 0.2935 | 0.2207 | | 0.38165 | 0.03825 | 0.11361 | 0.000 | 0.00987 | 0.03429 | 0.000 | 0.03994 | 0.14575 |
|
|
*In each cell the first value gives Bayes estimate and second its risk.
|