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Mathematical Problems in Engineering
/
2020
/
Article
/
Tab 6
/
Research Article
Classical Estimation of the Index
and Its Confidence Intervals for Power Lindley Distributed Quality Characteristics
Table 6
BCIs (AWs, CPs, and RCs) of PCIs
and
using CMEs of
α
and
β
.
PCIs
n
-
boot
-
boot
-
boot
Parameters
AWs
CPs
RCs
AWs
CPs
RCs
AWs
CPs
RCs
= 0.60004
10
0.41832
0.834
1.99368
0.39613
0.837
2.11294
0.39602
0.836
2.11100
α
= 1.50
20
0.38803
0.889
2.29105
0.35460
0.889
2.50705
0.35448
0.889
2.50789
β
= 0.50
30
0.35733
0.911
2.54946
0.33458
0.913
2.72879
0.33447
0.914
2.73268
50
0.33929
0.927
2.73217
0.32504
0.928
2.85503
0.31841
0.929
2.91762
= 0.13973
10
0.14876
0.840
5.64667
0.12784
0.841
6.57853
0.12777
0.841
6.58213
α
= 1.50
20
0.12769
0.890
6.97000
0.10692
0.892
8.34268
0.10685
0.892
8.34815
β
= 0.50
30
0.11903
0.910
7.64513
0.09592
0.911
9.49749
0.09581
0.913
9.52927
50
0.09498
0.928
9.77047
0.07902
0.928
11.74386
0.07887
0.929
11.77887
= 0.65709
10
0.42930
0.837
1.94968
0.40912
0.837
2.04585
0.40901
0.838
2.04884
α
= 2.00
20
0.39034
0.888
2.27493
0.35694
0.888
2.48781
0.35681
0.889
2.49152
β
= 0.50
30
0.36924
0.911
2.46722
0.32477
0.911
2.80506
0.32469
0.912
2.80883
50
0.32941
0.927
2.81412
0.30959
0.927
2.99428
0.30927
0.928
3.00061
= 0.15609
10
0.14712
0.841
5.71642
0.12695
0.842
6.63253
0.12689
0.842
6.63566
α
= 2.00
20
0.12583
0.888
7.05714
0.10475
0.890
8.49642
0.10469
0.890
8.50128
β
= 0.50
30
0.12133
0.911
7.50844
0.09639
0.913
9.47193
0.09629
0.913
9.48177
50
0.10509
0.927
8.82101
0.07585
0.928
12.23467
0.07579
0.929
12.25755
= 0.52232
10
0.38471
0.836
2.17306
0.36793
0.837
2.27488
0.36786
0.837
2.27532
α
= 2.50
20
0.35541
0.888
2.49852
0.33251
0.890
2.67661
0.33242
0.890
2.67733
β
= 0.75
30
0.32611
0.912
2.79660
0.30893
0.914
2.95859
0.30877
0.913
2.95689
50
0.31162
0.927
2.97477
0.28595
0.929
3.24881
0.28587
0.929
3.24972
= 0.14535
10
0.12522
0.840
6.70819
0.10673
0.840
7.87032
0.10661
0.841
7.88856
α
= 2.50
20
0.11134
0.889
7.98455
0.09248
0.891
9.63451
0.09239
0.891
9.64390
β
= 0.75
30
0.09306
0.912
9.80012
0.07467
0.914
12.24052
0.07458
0.913
12.24188
50
0.06964
0.928
13.32567
0.05592
0.929
16.61659
0.05579
0.929
16.65172
= 1.00322
10
0.66290
0.839
1.26565
0.64569
0.838
1.29783
0.64564
0.838
1.29793
α
= 7.50
20
0.61471
0.891
1.44946
0.58993
0.889
1.50695
0.58989
0.890
1.50875
β
= 0.25
30
0.56332
0.912
1.61897
0.54298
0.911
1.67777
0.54291
0.911
1.67799
50
0.52223
0.927
1.77507
0.50445
0.926
1.83566
0.50443
0.926
1.83573
= 0.27863
10
0.21787
0.842
3.86468
0.19439
0.841
4.32635
0.19438
0.841
4.32657
α
= 7.50
20
0.17893
0.892
4.98518
0.15452
0.891
5.76624
0.15447
0.892
5.77458
β
= 0.25
30
0.14339
0.912
6.36027
0.12671
0.911
7.18964
0.12668
0.911
7.19134
50
0.11649
0.927
7.95776
0.08899
0.925
10.39442
0.08896
0.926
10.40917