Research Article

On Statistical Inference of Generalized Pareto Distribution with Jointly Progressive Censored Samples with Binomial Removal

Table 3

MLE and Bayesian estimation methods for GP based on JPC scheme with binomial removal: Case 3.

MLEBayesian
BiasMSEL.CIBPBTBiasMSEL.CI

0.1530, 2538−0.12250.87483.63670.64480.63990.07300.06840.9731
0.12290.16101.49790.21910.21710.15990.10981.0032
−0.17800.84853.54460.51990.51700.04170.02240.5386
0.22960.53462.72250.35440.35210.14450.11101.0498
47−0.08440.61923.06830.37370.37220.07610.07230.9554
0.12380.15131.44610.20050.20080.16160.10981.0553
−0.12700.63503.08550.45160.45420.04070.02500.5879
0.17800.40502.39630.35480.35120.12250.09141.0154

0.530, 2538−0.04950.86483.64210.70530.69700.09880.07691.0033
0.13640.21201.72500.20590.20460.15720.11961.0154
−0.10770.80353.49010.60110.60000.05220.02510.5755
0.25130.68663.09690.35060.35100.16210.12431.0919
47−0.10950.62083.06010.44530.44760.07310.07290.9974
0.11830.15611.47870.18680.18680.14110.10971.0063
−0.11470.59062.98010.51590.50970.04060.02450.5773
0.20500.42062.41300.37030.36960.14110.09561.0342

0.1550, 5573−0.08460.49232.73180.31400.31090.06310.07801.0545
0.09460.09661.16100.15000.14980.15510.09980.9455
−0.04010.36872.37610.27930.28250.04310.03340.6636
0.09660.16401.54240.18060.18030.12920.08210.9686
97−0.07200.35572.32210.20090.20070.05520.07971.0926
0.07450.06350.94400.09440.09420.11550.06390.8116
−0.03370.24241.92630.17730.17730.03830.03260.6818
0.05180.11031.28650.11880.11800.09960.06590.8705

0.550, 5573−0.02570.47912.71270.33190.33480.08610.08291.0674
0.07060.08491.10900.14800.14880.12590.07830.8786
−0.07960.32022.19710.24340.24640.03440.02950.6497
0.10390.17321.58030.16230.16290.12640.08180.9442
97−0.04510.32382.22470.22320.22280.06610.07431.0298
0.05530.06340.96310.09470.09370.10860.06520.7943
−0.05510.23951.90730.19720.19770.03330.03130.6756
0.07570.12401.34890.14720.14610.10060.07040.8533

0.15110, 125170−0.04090.20231.75670.12460.12560.04610.07291.0124
0.03080.03090.67840.05070.05030.08570.04370.6772
−0.01970.14671.50040.11340.11430.03410.03740.7304
0.03740.05080.87130.06140.06130.08340.04170.7118
215−0.03250.16951.60960.11130.11140.03980.07351.0183
0.02760.02530.61380.04230.04190.07100.03080.5853
−0.02820.10521.26700.08730.08620.02180.03250.6899
0.03840.04240.79370.05160.05150.08130.03700.6699

0.5110, 125170−0.04420.19911.74150.14570.14650.04190.07451.1018
0.03650.03310.69920.06110.06210.08540.03840.6426
−0.01760.13381.43310.10510.10550.03510.03390.6972
0.04690.06170.95690.07120.07140.09080.05140.7523
215−0.01250.16341.58460.10370.10320.05230.07281.0384
0.03660.02590.61430.04430.04430.07840.03070.5853
−0.02200.11221.31110.08670.08690.02860.03540.7265
0.03120.04710.84220.05270.05310.07040.03710.6477