Research Article
Generalized Weibull–Lindley (GWL) Distribution in Modeling Lifetime Data
Table 2
Average biases and MSEs of the ML estimates of the parameters of GWL distribution.
| True values | Bias | MSE | n | c | | | | | |
| 10 | 1 | 0.5 | 0.1641 | 0.0313 | 0.1447 | 0.0197 | 20 | 1 | 0.5 | 0.0732 | 0.0171 | 0.0450 | 0.0083 | 30 | 1 | 0.5 | 0.0481 | 0.0115 | 0.0264 | 0.0054 | 40 | 1 | 0.5 | 0.0359 | 0.0081 | 0.0182 | 0.0038 | 50 | 1 | 0.5 | 0.0289 | 0.0056 | 0.0142 | 0.0030 | 100 | 1 | 0.5 | 0.0153 | 0.0030 | 0.0065 | 0.0014 | 10 | 1 | 1.0 | 0.1633 | 0.0692 | 0.1448 | 0.0901 | 20 | 1 | 1.0 | 0.0728 | 0.0373 | 0.0453 | 0.0373 | 30 | 1 | 1.0 | 0.0480 | 0.0249 | 0.0266 | 0.0238 | 40 | 1 | 1.0 | 0.0359 | 0.0177 | 0.0183 | 0.0170 | 50 | 1 | 1.0 | 0.0290 | 0.0124 | 0.0143 | 0.0132 | 100 | 1 | 1.0 | 0.0154 | 0.0064 | 0.0065 | 0.0063 | 10 | 1 | 3.0 | 0.1640 | 0.2573 | 0.1465 | 1.1013 | 20 | 1 | 3.0 | 0.0729 | 0.1358 | 0.0462 | 0.4370 | 30 | 1 | 3.0 | 0.0481 | 0.0904 | 0.0272 | 0.2741 | 40 | 1 | 3.0 | 0.0360 | 0.0642 | 0.0187 | 0.1942 | 50 | 1 | 3.0 | 0.0291 | 0.0456 | 0.0146 | 0.1505 | 100 | 1 | 3.0 | 0.0154 | 0.0237 | 0.0066 | 0.0716 | 10 | 3 | 0.5 | 0.4956 | 0.0068 | 1.3236 | 0.0018 | 20 | 3 | 0.5 | 0.2205 | 0.0040 | 0.4154 | 0.0008 | 30 | 3 | 0.5 | 0.1449 | 0.0027 | 0.2442 | 0.0005 | 40 | 3 | 0.5 | 0.1082 | 0.0019 | 0.1679 | 0.0004 | 50 | 3 | 0.5 | 0.0873 | 0.0012 | 0.1314 | 0.0003 | 100 | 3 | 0.5 | 0.0460 | 0.0007 | 0.0598 | 0.0002 | 10 | 3 | 1.0 | 0.4948 | 0.0145 | 1.3254 | 0.0078 | 20 | 3 | 1.0 | 0.2201 | 0.0085 | 0.4169 | 0.0036 | 30 | 3 | 1.0 | 0.1446 | 0.0058 | 0.2453 | 0.0024 | 40 | 3 | 1.0 | 0.1080 | 0.0040 | 0.1686 | 0.0017 | 50 | 3 | 1.0 | 0.0872 | 0.0026 | 0.1320 | 0.0014 | 100 | 3 | 1.0 | 0.0459 | 0.0014 | 0.0601 | 0.0007 | 10 | 3 | 3.0 | 0.4942 | 0.0515 | 1.3306 | 0.0892 | 20 | 3 | 3.0 | 0.2197 | 0.0298 | 0.4201 | 0.0411 | 30 | 3 | 3.0 | 0.1443 | 0.0202 | 0.2473 | 0.0272 | 40 | 3 | 3.0 | 0.1078 | 0.0142 | 0.1700 | 0.0198 | 50 | 3 | 3.0 | 0.0871 | 0.0094 | 0.1332 | 0.0156 | 100 | 3 | 3.0 | 0.0459 | 0.0051 | 0.0606 | 0.0077 |
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