Research Article
Bayesian Analysis of Inverted Kumaraswamy Mixture Model with Application to Burning Velocity of Chemicals
Table 1
BEs, PRs, and reliability estimates using UP, IBeta, and gamma prior under LLF and SELF for parameters
(0.4, 1.5, 1, 0.8, 0.5) and
T = 5.
| n | Parameters | MLEs | Bayes estimates | SELF | LLF | UP | IBeta | Gamma | UP | IBeta | Gamma |
| 30 | | 1.38324 0.18960 |
|
|
|
|
|
| | 2.91612 0.60725 |
|
|
|
|
|
| | 0.74762 0.04374 |
|
|
|
|
|
| | 0.49495 0.01443 |
|
|
|
|
|
| | 0.429810 0.00832 |
|
|
|
|
|
| | 0.029982 0.001955 |
|
|
|
|
|
| 50 | | 1.74450 0.466704 |
|
|
| 1.45921 0.002102 | 1.45991 0.00108 | 1.45990 0.00102 | | 1.83449 0.291776 | 1.01511 0.000252 |
|
|
| 0.98786 0.00010 | 0.98788 0.00010 | | 0.65516 0.024720 | 0.84292 0.002230 |
|
|
| 0.80339 0.000211 | 0.80337 0.000202 | | 0.68191 0.0174895 | 0.54503 0.00223 |
|
|
| 0.54989 0.00010 | 0.54980 0.00011 | | 0.40616 0.006272 |
|
|
| 0.40769 0.00057 | 0.40755 0.00049 | 0.40750 0.00040 | | 0.002229 |
|
|
|
|
|
| 100 | | 1.12980 0.037469 | 1.47760 0.00051 |
|
|
|
|
| | 2.39554 0.1365480 | 0.99279 0.00005 |
|
|
|
|
| | 1.04398 0.0243720 | 0.78192 0.000161 |
|
|
|
|
| | 0.61518 0.0070329 |
|
|
| 0.48734
| 0.001703 | 0.001702 | | 0.453810 0.0025615 | 0.000301 |
|
|
|
|
| | 0.000519 |
|
|
|
|
|
|
|
|