Research Article
A New Lifetime Exponential-X Family of Distributions with Applications to Reliability Data
Table 2
Simulation results of NLTE-W distribution.
| Set 1: , , and |
| | Parameters | MLE | MSEs | Biases |
| 25 | | 0.5470 | 1.0176e − 02 | 4.7049e − 02 | | 1.3739 | 5.7227e − 01 | 1.7393e − 01 | | 1.0060 | 4.6356e − 01 | 0.1061 |
| 50 | | 0.5197 | 3.0224e − 03 | 1.9750e − 02 | | 1.3332 | 9.9853e − 02 | 3.3231e − 02 | | 0.9083 | 1.2798e − 01 | 0.0083 |
| 100 | | 0.5053 | 5.9972e − 04 | 5.3831e − 03 | | 1.2990 | 5.5752e − 03 | −4.4566e − 05 | | 0.8908 | 1.8679e − 02 | −0.0091 |
| 200 | | 0.5042 | 4.9037e − 05 | 5.3695e − 04 | | 1.2543 | 6.5797e − 05 | −6.3885e − 04 | | 0.8985 | 4.0895e − 04 | −0.0014 |
| 300 | | 0.5032 | 2.2459e − 06 | 5.4722e − 05 | | 1.2398 | 5.7826e − 06 | −8.7809e − 05 | | 0.8998 | 4.0526e − 05 | −0.0002 |
| 400 | | 0.5014 | 3.9207e − 05 | 2.2864e − 04 | | 1.2170 | 4.2641e − 05 | −2.3844e − 04 | | 0.9000 | 6.9245e − 04 | −0.0009 |
| 500 | | 0.5000 | 0.0000e + 00 | 0.0000e + 00 | | 1.2000 | 0.0000e + 00 | 0.0000e + 00 | | 0.9000 | 0.0000e + 00 | 0.0000e + 00 |
| 600 | | 0.5000 | 0.0000e + 00 | 0.0000e + 00 | | 1.2000 | 0.0000e + 00 | 0.0000e + 00 | | 0.9000 | 0.0000e + 00 | 0.0000e + 00 |
| 700 | | 0.5000 | 0.0000e + 00 | 0.0000e + 00 | | 1.2000 | 0.0000e + 00 | 0.0000e + 00 | | 0.9000 | 0.0000e + 00 | 0.0000e + 00 |
| 750 | | 0.5000 | 0.0000e + 00 | 0.0000e + 00 | | 1.2000 | 0.0000e + 00 | 0.0000e + 00 | | 0.9000 | 0.0000e + 00 | 0.0000e + 00 |
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