Research Article
Data Analysis of Step-Stress Accelerated Life Test with Random Group Effects under Weibull Distribution
Table 4
Estimates of parameters from Bayesian approaches.
| | Parameter | Posterior mean | Posterior variance | Posterior median | Credible interval | MC error |
| Prior 1 | β | 0.7652 | 0.070562 | 0.7588 | (0.6356, 0.9077) | 0.001916 | β0 | 39.52 | 3.6572 | 39.87 | (34.54, 44.02) | 0.1011 | β1 | −4.483 | 0.32922 | −4.531 | (−5.052, −3.91) | 0.01258 | σu | 1.481 | 1.2612 | 1.148 | (0.134, 4.758) | 0.0186 |
| Prior 2 | β | 0.7705 | 0.06892 | 0.7689 | (0.6444, 0.9135) | 0.002364 | β0 | 39.08 | 2.4062 | 39.1 | (34.56, 43.9) | 0.0933 | β1 | −4.423 | 0.30382 | −4.423 | (−5.035, −3.853) | 0.01156 | σu | 1.511 | 1.3262 | 1.204 | (0.1627, 4.986) | 0.0245 |
| Prior 3 | β | 0.7827 | 0.059532 | 0.7807 | (0.6726, 0.9075) | 0.002798 | β0 | 37.89 | 1.3332 | 38.03 | (35.05, 39.88) | 0.0987 | β1 | −4.28 | 0.17382 | −4.297 | (−4.563, −3.908) | 0.001574 | σu | 1.695 | 1.4142 | 1.325 | (0.1824, 5.338) | 0.0357 |
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