Research Article

Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples

Table 8

Bayes estimates and posterior risks under real life data.

PriorsLeft censoredSingly type II censoredDoubly type II censored
LLFPLFQLFLLFPLFQLFLLFPLFQLF

ā€‰10% censored
Uniform47.2455548.7214746.6410647.8734849.0221547.5095647.6209448.9181747.15113
(3.30822)(2.49507)(0.01786)(2.86304)(2.28683)(0.01724)(3.01607)(2.43653)(0.01760)
Jeffreys46.6622847.8715146.0134247.3303348.2159746.8322347.0330448.0647746.51663
(3.26701)(2.48894)(0.01763)(2.82738)(2.28121)(0.01702)(2.97850)(2.43055)(0.01738)
Exponential46.0862147.0363745.3942346.7933547.4230446.1645646.4524047.2262745.89067
(3.21329)(2.42312)(0.01734)(2.78088)(2.22089)(0.01674)(2.92952)(2.36627)(0.01709)
Gamma46.4031347.3598245.7063847.1151347.7491546.4820146.7718347.5510246.20624
(2.93552)(2.33481)(0.01585)(2.54049)(2.13995)(0.01530)(2.67628)(2.28004)(0.01561)
Inverse Levy46.5366147.5278045.8323747.2506647.9185046.6101346.9063747.7196746.33360
(2.88725)(2.29642)(0.01558)(2.49872)(2.10476)(0.01505)(2.63227)(2.24255)(0.01536)

ā€‰20% censored
Uniform48.8846350.3311448.3405749.7540450.9213449.3504849.4020350.3468848.98630
(3.40898)(2.57077)(0.01848)(2.94916)(2.37172)(0.01785)(3.12592)(2.50748)(0.01828)
Jeffreys47.8686749.2753847.1429148.7423249.7593348.2290948.5954549.4420248.29985
(3.34670)(2.56094)(0.01805)(2.90939)(2.35381)(0.01749)(3.04704)(2.49551)(0.01804)
Exponential47.1380748.3545546.4545148.0902248.6825147.4183247.5027448.0464447.55169
(3.28574)(2.48695)(0.01766)(2.85620)(2.27935)(0.01708)(2.99525)(2.40593)(0.01771)
Gamma47.4215448.4390746.4844048.0053548.9380747.3036147.7078748.2489447.67193
(2.99705)(2.38132)(0.01610)(2.58490)(2.19134)(0.01556)(2.72857)(2.30718)(0.01590)
Inverse Levy47.2238948.2731346.5275747.9147448.9082447.3436947.7935348.2473846.99236
(2.91876)(2.32932)(0.01579)(2.52577)(2.13919)(0.01522)(2.66669)(2.26701)(0.01553)