Research Article
A New Lifetime Exponential-X Family of Distributions with Applications to Reliability Data
Table 1
Simulation results of NLTE-W distribution.
| Set 1: , , and |
| | Parameters | MLE | MSEs | Biases |
| 25 | | 0.9545 | 0.0611 | 0.0545 | | 2.4888 | 3.8729 | 1.0888 | | 0.7748 | 0.2732 | 0.1748 |
| 50 | | 0.9327 | 0.0271 | 0.0427 | | 2.2729 | 3.1653 | 0.8729 | | 0.6740 | 0.1478 | 0.0740 |
| 100 | | 0.9102 | 0.0132 | 0.0392 | | 1.9558 | 1.7632 | 0.5558 | | 0.6641 | 0.0972 | 0.0641 |
| 200 | | 0.9102 | 0.0072 | 0.0231 | | 1.9558 | 0.8971 | 0.3371 | | 0.6641 | 0.0596 | 0.0552 |
| 300 | | 0.9052 | 0.0055 | 0.0152 | | 1.5979 | 0.4933 | 0.1979 | | 0.6221 | 0.0440 | 0.0221 |
| 400 | | 0.9042 | 0.0039 | 0.0102 | | 1.5445 | 0.3234 | 0.1445 | | 0.6197 | 0.0310 | 0.0197 |
| 500 | | 0.9050 | 0.0031 | 0.0098 | | 1.4891 | 0.1686 | 0.0891 | | 0.6076 | 0.0255 | 0.0076 |
| 600 | | 0.9038 | 0.0026 | 0.0074 | | 1.4714 | 0.1143 | 0.0714 | | 0.6071 | 0.0217 | 0.0071 |
| 700 | | 0.9017 | 0.0020 | 0.0047 | | 1.4594 | 0.0714 | 0.0594 | | 0.6123 | 0.0161 | 0.0123 |
| 750 | | 0.9013 | 0.0019 | 0.0028 | | 1.4400 | 0.0533 | 0.0400 | | 0.6024 | 0.0148 | 0.0024 |
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