Research Article
Assessing the Lifetime Performance Index with Digital Inferences of Power Hazard Function Distribution Using Progressive Type-II Censoring Scheme
Table 3
MSEs and CPs of the MLEs and Bayes estimates for
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| N | m | Sc. | ML | Bayes | Bayes | ML | Bayes | Bayes | | | | Mean squared errors (MSEs) | Coverage probabilities (CPs) | | | | | a = 1, b = 2 | a = 2, b = 3 | | a = 1, b = 2 | a = 2, b = 3 |
| 25 | 15 | I | 0.000 088 9 | 0.000 080 4 | 0.000 072 9 | 0.947 | 0.949 | 0.956 | II | 0.000 091 9 | 0.000 084 9 | 0.000 075 0 | 0.939 | 0.948 | 0.953 | III | 0.000 097 2 | 0.000 089 7 | 0.000 081 1 | 0.945 | | 0.948 |
| 30 | 20 | I | 0.000 083 7 | 0.000 077 4 | 0.000 068 7 | 0.941 | 0.943 | 0.939 | II | 0.000 086 6 | 0.000 079 4 | 0.000 071 3 | 0.952 | 0.948 | 0.947 | III | 0.000 092 2 | 0.000 084 2 | 0.000 079 2 | 0.954 | | 0.955 |
| 30 | 25 | I | 0.000 076 7 | 0.000 069 9 | 0.000 061 8 | 0.962 | 0.954 | 0.963 | II | 0.000 082 3 | 0.000 074 2 | 0.000 066 6 | 0.941 | 0.951 | 0.947 | III | 0.000 089 1 | 0.000 078 5 | 0.000 072 9 | 0.939 | | 0.951 |
| 50 | 30 | I | 0.000 071 6 | 0.000 062 6 | 0.000 059 3 | 0.944 | 0.959 | 0.945 | II | 0.000 075 7 | 0.000 068 4 | 0.000 063 1 | 0.940 | 0.936 | 0.942 | III | 0.000 081 4 | 0.000 073 2 | 0.000 067 5 | 0.945 | | 0.939 |
| 50 | 40 | I | 0.000 067 3 | 0.000 058 4 | 0.000 055 8 | 0.960 | 0.952 | 0.962 | II | 0.000 071 5 | 0.000 062 6 | 0.000 058 5 | 0.954 | 0.958 | 0.957 | III | 0.000 076 8 | 0.000 066 9 | 0.000 062 8 | 0.938 | | 0.948 |
| 70 | 50 | I | 0.000 059 9 | 0.000 049 8 | 0.000 046 7 | 0.951 | 0.949 | 0.947 | II | 0.000 063 3 | 0.000 054 3 | 0.000 051 6 | 0.944 | 0.945 | 0.952 | III | 0.000 067 7 | 0.000 058 5 | 0.000 055 9 | 0.938 | | 0.949 |
| 90 | 60 | I | 0.000 038 4 | 0.000 029 9 | 0.000 025 8 | 0.955 | 0.961 | 0.954 | II | 0.000 043 6 | 0.000 036 3 | 0.000 033 4 | 0.948 | 0.939 | 0.945 | III | 0.000 047 1 | 0.000 038 2 | 0.000 035 1 | 0.954 | | 0.940 |
| 90 | 70 | I | 0.000 022 8 | 0.000 019 6 | 0.000 014 9 | 0.956 | 0.953 | 0.958 | II | 0.000 028 7 | 0.000 023 4 | 0.000 018 5 | 0.945 | 0.943 | 0.951 | III | 0.000 034 1 | 0.000 028 5 | 0.000 023 2 | 0.942 | | 0.939 |
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