International Journal of Mathematics and Mathematical Sciences / 2020 / Article / Tab 6

Research Article

Inference of Process Capability Index for 3-Burr-XII Distribution Based on Progressive Type-II Censoring

Table 6

True value of and its classical and the Bayes estimates using different methods of estimation along with their MSEs (in parentheses) when .

()Classical estimates of Bayes estimates of
MLEBoot-pBoot-tPrior-0Prior-I

20100.81800.98690.99200.99220.96020.8216
(0.0285)(0.0275)(0.0265)(0.0202)(0.0200)
0.81800.90280.83650.83650.87840.8418
(0.0072)(0.0065)(0.0060)(0.0036)(0.0006)
20150.81800.98060.95540.99050.96440.7805
(0.0264)(0.0250)(0.0241)(0.0214)(0.0014)
0.81800.93680.92620.92620.92000.9306
(0.0141)(0.0117)(0.0112)(0.0104)(0.0101)
40150.81800.82360.83650.83820.81100.8348
(0.0009)(0.0007)(0.0006)(0.0003)(0.0001)
0.81800.82080.80300.80350.80220.7999
(0.0007)(0.0006)(0.0004)(0.0002)(0.0001)
40300.81800.98700.98120.97950.95750.8167
(0.0228)(0.0222)(0.0218)(0.0195)0.0002
0.81800.88700.87500.87510.87910.9731
(0.0048)(0.0043)(0.0040)(0.0037)(0.0027)
60300.81800.89220.91000.91290.88130.7453
(0.0055)(0.0045)(0.0042)(0.0040)(0.0053)
0.81800.88730.88600.88620.87940.8321
(0.0024)(0.0023)(0.0020)(0.0019)(0.0002)
60400.81800.81610.82550.82520.81020.8248
(0.0006)(0.0005)(0.0003)(0.0002)(0.0001)
0.81800.74280.73600.73580.73590.8374
(0.0028)(0.0024)(0.0021)(0.0018)(0.0002)
80400.81800.95590.95990.95980.95000.8430
(0.0095)(0.0092)(0.0089)(0.0087)(0.0003)
0.81800.78650.77680.77600.78290.7459
(0.0005)(0.0004)(0.0003)(0.0002)(0.0001)
80500.81800.85430.87440.87330.84690.8165
(0.0013)(0.0011)(0.0010)(0.0008)(0.0005)
0.81800.88480.87880.87840.88030.8433
(0.0022)(0.0020)(0.0017)(0.0014)(0.0006)
100600.81800.80940.81890.81850.80530.7262
(0.0009)(0.0007)(0.0006)(0.0004)(0.0002)
0.81800.87890.87710.87630.87450.8107
(0.0037)(0.0034)(0.0033)(0.0032)(0.0001)
100800.81800.88150.88200.88170.87780.7649
(0.0041)(0.0038)(0.0035)(0.0031)(0.0028)
0.81800.81030.72840.80420.80810.8103
(0.0016)(0.0012)(0.0010)(0.0008)(0.0001)

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