Research Article
Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples
Table 8
Bayes estimates and posterior risks under real life data.
| Priors | Left censored | Singly type II censored | Doubly type II censored | LLF | PLF | QLF | LLF | PLF | QLF | LLF | PLF | QLF |
| ā | 10% censored | Uniform | 47.24555 | 48.72147 | 46.64106 | 47.87348 | 49.02215 | 47.50956 | 47.62094 | 48.91817 | 47.15113 | (3.30822) | (2.49507) | (0.01786) | (2.86304) | (2.28683) | (0.01724) | (3.01607) | (2.43653) | (0.01760) | Jeffreys | 46.66228 | 47.87151 | 46.01342 | 47.33033 | 48.21597 | 46.83223 | 47.03304 | 48.06477 | 46.51663 | (3.26701) | (2.48894) | (0.01763) | (2.82738) | (2.28121) | (0.01702) | (2.97850) | (2.43055) | (0.01738) | Exponential | 46.08621 | 47.03637 | 45.39423 | 46.79335 | 47.42304 | 46.16456 | 46.45240 | 47.22627 | 45.89067 | (3.21329) | (2.42312) | (0.01734) | (2.78088) | (2.22089) | (0.01674) | (2.92952) | (2.36627) | (0.01709) | Gamma | 46.40313 | 47.35982 | 45.70638 | 47.11513 | 47.74915 | 46.48201 | 46.77183 | 47.55102 | 46.20624 | (2.93552) | (2.33481) | (0.01585) | (2.54049) | (2.13995) | (0.01530) | (2.67628) | (2.28004) | (0.01561) | Inverse Levy | 46.53661 | 47.52780 | 45.83237 | 47.25066 | 47.91850 | 46.61013 | 46.90637 | 47.71967 | 46.33360 | (2.88725) | (2.29642) | (0.01558) | (2.49872) | (2.10476) | (0.01505) | (2.63227) | (2.24255) | (0.01536) |
| ā | 20% censored | Uniform | 48.88463 | 50.33114 | 48.34057 | 49.75404 | 50.92134 | 49.35048 | 49.40203 | 50.34688 | 48.98630 | (3.40898) | (2.57077) | (0.01848) | (2.94916) | (2.37172) | (0.01785) | (3.12592) | (2.50748) | (0.01828) | Jeffreys | 47.86867 | 49.27538 | 47.14291 | 48.74232 | 49.75933 | 48.22909 | 48.59545 | 49.44202 | 48.29985 | (3.34670) | (2.56094) | (0.01805) | (2.90939) | (2.35381) | (0.01749) | (3.04704) | (2.49551) | (0.01804) | Exponential | 47.13807 | 48.35455 | 46.45451 | 48.09022 | 48.68251 | 47.41832 | 47.50274 | 48.04644 | 47.55169 | (3.28574) | (2.48695) | (0.01766) | (2.85620) | (2.27935) | (0.01708) | (2.99525) | (2.40593) | (0.01771) | Gamma | 47.42154 | 48.43907 | 46.48440 | 48.00535 | 48.93807 | 47.30361 | 47.70787 | 48.24894 | 47.67193 | (2.99705) | (2.38132) | (0.01610) | (2.58490) | (2.19134) | (0.01556) | (2.72857) | (2.30718) | (0.01590) | Inverse Levy | 47.22389 | 48.27313 | 46.52757 | 47.91474 | 48.90824 | 47.34369 | 47.79353 | 48.24738 | 46.99236 | (2.91876) | (2.32932) | (0.01579) | (2.52577) | (2.13919) | (0.01522) | (2.66669) | (2.26701) | (0.01553) |
|
|