Table 2 Summary statistics for the MLEs of γ and τ under Case 2: θ is known
From: The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distribution
True values | Sample size | MLE summary statistics | |||
|---|---|---|---|---|---|
(θ0,γ0,τ0) | n | Bias | Variance | MSE | CV (%) |
(1, 2.1, 4) | 10 | 2.3542×10−01 | 2.3323×10−01 | 2.89×10−01 | 20.7 |
|  | 100 | 5.8590×10−03 | 1.0389×10−02 | 1.04×10−02 | 4.8 |
(1, 2.1, 4) | 10 | 7.1172 | 3.0262×1004 | 3.03×1004 | 494.8 |
|  | 100 | 9.7368×10−02 | 7.7996×10−01 | 7.89×10−01 | 21.6 |
(5, 2.1, 0.5) | 10 | 3.3009×10−01 | 4.5556×10−01 | 5.65×10−01 | 27.8 |
|  | 100 | 8.6870×10−03 | 2.0057×10−03 | 2.08×10−03 | 6.7 |
(5, 2.1, 0.5) | 10 | 2.8176×10−01 | 1.4363 | 1.52 | 153.3 |
|  | 100 | 5.3589×10−03 | 6.2479×10−03 | 6.28×10−03 | 15.6 |
(0.01, 2, 1) | 10 | 1.7786×10−01 | 1.3863×10−01 | 1.70×10−01 | 17.1 |
|  | 100 | 4.3410×10−03 | 6.1919×10−03 | 6.21×10−03 | 3.9 |
(0.01, 2, 1) | 10 | 8.0762×10−02 | 2.6575×10−01 | 2.72×10−01 | 47.7 |
|  | 100 | −5.4320×10−03 | 1.1486×10−02 | 1.15×10−02 | 10.7 |