Research Article
Estimation for Parameters of Life of the Marshall-Olkin Generalized-Exponential Distribution Using Progressive Type-II Censored Data
Table 10
The ACLs/CPs of asymptotic/credible interval estimates of
.
| | FP | Scheme | ACI-NA | BCI | ACI-NL | HPD | Prior | I | II | I | II | ACL | CP | ACL | CP | ACL | CP |
| 30 | 30% | 1 | 1.5013 | 0.949 | 0.9965 | 0.962 | 0.9859 | 0.973 | | | 1.8475 | 0.958 | 0.8069 | 0.966 | 0.8042 | 0.974 | | 2 | 1.3225 | 0.946 | 1.0254 | 0.961 | 1.0064 | 0.970 | | | 1.5260 | 0.951 | 0.8197 | 0.962 | 0.8468 | 0.972 | | 3 | 1.1862 | 0.960 | 1.0191 | 0.965 | 0.9190 | 0.972 | | | 1.3247 | 0.948 | 0.8363 | 0.960 | 0.7316 | 0.971 | 60% | 1 | 1.0750 | 0.960 | 0.8859 | 0.964 | 0.8399 | 0.974 | | | 1.2229 | 0.962 | 0.7755 | 0.968 | 0.6627 | 0.975 | | 2 | 0.9821 | 0.966 | 0.9481 | 0.967 | 0.8518 | 0.973 | | | 1.0785 | 0.961 | 0.8087 | 0.964 | 0.7109 | 0.975 | | 3 | 0.9753 | 0.950 | 0.7517 | 0.962 | 0.6660 | 0.973 | | | 0.9963 | 0.958 | 0.6133 | 0.965 | 0.5898 | 0.972 | 90% | 1 | 0.9178 | 0.955 | 0.7219 | 0.966 | 0.6399 | 0.977 | | | 1.0102 | 0.965 | 0.5738 | 0.974 | 0.4976 | 0.982 | | 2 | 0.8950 | 0.968 | 0.9327 | 0.970 | 0.8243 | 0.982 | | | 0.9778 | 0.962 | 0.7221 | 0.975 | 0.6718 | 0.984 | | 3 | 0.8953 | 0.954 | 0.7328 | 0.968 | 0.5662 | 0.980 | | | 0.9828 | 0.962 | 0.5670 | 0.971 | 0.4578 | 0.983 |
| 60 | 30% | 1 | 1.0510 | 0.959 | 0.9113 | 0.974 | 0.7610 | 0.986 | | | 1.1716 | 0.961 | 0.7126 | 0.972 | 0.5693 | 0.983 | | 2 | 0.8889 | 0.959 | 0.8581 | 0.972 | 0.7133 | 0.983 | | | 0.9495 | 0.959 | 0.6782 | 0.974 | 0.5331 | 0.985 | | 3 | 0.8095 | 0.964 | 0.7332 | 0.975 | 0.6713 | 0.982 | | | 0.8654 | 0.957 | 0.5011 | 0.969 | 0.5254 | 0.980 | 60% | 1 | 0.7787 | 0.966 | 0.8358 | 0.975 | 0.5622 | 0.985 | | | 0.8301 | 0.964 | 0.6715 | 0.973 | 0.4359 | 0.984 | | 2 | 0.6770 | 0.960 | 0.6730 | 0.974 | 0.6690 | 0.985 | | | 0.7076 | 0.960 | 0.5248 | 0.975 | 0.5102 | 0.986 | | 3 | 0.7082 | 0.966 | 0.6931 | 0.976 | 0.5625 | 0.986 | | | 0.7527 | 0.960 | 0.5689 | 0.970 | 0.4243 | 0.981 | 90% | 1 | 0.6606 | 0.969 | 0.5723 | 0.976 | 0.5362 | 0.986 | | | 0.6917 | 0.965 | 0.4253 | 0.974 | 0.3939 | 0.985 | | 2 | 0.6405 | 0.967 | 0.6526 | 0.978 | 0.6484 | 0.989 | | | 0.6680 | 0.961 | 0.5093 | 0.973 | 0.4960 | 0.985 | | 3 | 0.6488 | 0.968 | 0.6590 | 0.975 | 0.5191 | 0.987 | | | 0.6765 | 0.967 | 0.5528 | 0.978 | 0.3816 | 0.984 |
| 90 | 30% | 1 | 0.8486 | 0.966 | 0.6336 | 0.977 | 0.5739 | 0.986 | | | 0.9153 | 0.964 | 0.4651 | 0.973 | 0.4120 | 0.984 | | 2 | 0.6994 | 0.966 | 0.6088 | 0.977 | 0.5780 | 0.988 | | | 0.7293 | 0.971 | 0.4337 | 0.982 | 0.4182 | 0.990 | | 3 | 0.6569 | 0.969 | 0.5669 | 0.979 | 0.5424 | 0.988 | | | 0.6857 | 0.968 | 0.4324 | 0.976 | 0.4062 | 0.990 | 60% | 1 | 0.6434 | 0.967 | 0.5452 | 0.978 | 0.5434 | 0.989 | | | 0.6713 | 0.971 | 0.3947 | 0.978 | 0.3889 | 0.990 | | 2 | 0.5641 | 0.969 | 0.5525 | 0.982 | 0.5402 | 0.990 | | | 0.5685 | 0.970 | 0.4125 | 0.981 | 0.3821 | 0.991 | | 3 | 0.6081 | 0.972 | 0.5508 | 0.983 | 0.5379 | 0.992 | | | 0.6571 | 0.969 | 0.4015 | 0.979 | 0.3904 | 0.990 | 90% | 1 | 0.5399 | 0.968 | 0.5339 | 0.982 | 0.5300 | 0.993 | | | 0.5562 | 0.973 | 0.3789 | 0.984 | 0.3728 | 0.995 | | 2 | 0.5448 | 0.970 | 0.5272 | 0.982 | 0.5153 | 0.992 | | | 0.5414 | 0.972 | 0.3959 | 0.983 | 0.3681 | 0.993 | | 3 | 0.5299 | 0.977 | 0.5475 | 0.984 | 0.5206 | 0.994 | | | 0.5447 | 0.971 | 0.3964 | 0.980 | 0.3738 | 0.989 |
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