Journals
Publish with us
Publishing partnerships
About us
Blog
Mathematical Problems in Engineering
Journal overview
For authors
For reviewers
For editors
Table of Contents
Special Issues
Mathematical Problems in Engineering
/
2020
/
Article
/
Tab 3
/
Research Article
Classical Estimation of the Index
and Its Confidence Intervals for Power Lindley Distributed Quality Characteristics
Table 3
BCIs (AWs, CPs, and RCs) of PCIs
and
using MLEs of
α
and
β
.
PCIs
n
-
boot
-
boot
-
boot
Parameters
AWs
CPs
RCs
AWs
CPs
RCs
AWs
CPs
RCs
= 0.60004
10
0.41186
0.837
2.03224
0.39172
0.837
2.13417
0.39169
0.836
2.13434
α
= 1.50
20
0.38221
0.889
2.32594
0.35226
0.888
2.52086
0.35221
0.889
2.52406
β
= 0.50
30
0.35267
0.911
2.58315
0.33249
0.910
2.73692
0.33238
0.911
2.74083
50
0.33355
0.926
2.77619
0.32313
0.926
2.86571
0.31394
0.927
2.95279
= 0.13973
10
0.14273
0.842
5.89925
0.12217
0.841
6.88385
0.12211
0.841
6.88723
α
= 1.50
20
0.12399
0.891
7.18606
0.10316
0.890
8.62737
0.10311
0.891
8.64125
β
= 0.50
30
0.11256
0.912
8.10234
0.09244
0.911
9.85504
0.09223
0.912
9.88832
50
0.09383
0.928
9.89022
0.07328
0.927
12.65010
0.07308
0.926
12.67104
= 0.65709
10
0.42786
0.837
1.95624
0.40992
0.837
2.04186
0.40893
0.837
2.04680
α
= 2.00
20
0.38836
0.889
2.28911
0.35689
0.888
2.48816
0.35672
0.889
2.49215
β
= 0.50
30
0.36112
0.911
2.52270
0.32245
0.910
2.82214
0.32213
0.911
2.82805
50
0.32778
0.926
2.82506
0.30898
0.926
2.99695
0.30893
0.927
3.00067
= 0.15609
10
0.14522
0.842
5.79809
0.12681
0.841
6.63196
0.12674
0.841
6.63563
α
= 2.00
20
0.12468
0.891
7.14629
0.10472
0.890
8.49885
0.10461
0.891
8.51735
β
= 0.50
30
0.11883
0.912
7.67482
0.09622
0.911
9.46788
0.09614
0.912
9.48616
50
0.09947
0.928
9.32944
0.07570
0.927
12.24570
0.07558
0.926
12.25191
= 0.52232
10
0.38283
0.837
2.18634
0.36780
0.837
2.27569
0.36773
0.837
2.27612
α
= 2.50
20
0.35362
0.889
2.51399
0.33237
0.888
2.67172
0.33223
0.889
2.67585
β
= 0.75
30
0.32316
0.911
2.81903
0.30873
0.910
2.94755
0.30864
0.911
2.95165
50
0.30891
0.926
2.99763
0.28573
0.926
3.24082
0.28568
0.927
3.24488
= 0.14535
10
0.12332
0.842
6.82776
0.10659
0.841
7.89004
0.10652
0.841
7.89523
α
= 2.50
20
0.10897
0.891
8.17656
0.09230
0.890
9.64247
0.09223
0.891
9.66063
β
= 0.75
30
0.08974
0.912
10.16269
0.07461
0.911
12.21015
0.07452
0.912
12.23832
50
0.06874
0.927
13.48559
0.05581
0.927
16.60992
0.05572
0.926
16.61880
= 1.00322
10
0.66274
0.838
1.26445
0.64568
0.837
1.29631
0.64562
0.837
1.29642
α
= 7.50
20
0.61472
0.890
1.44781
0.58994
0.888
1.50523
0.58988
0.889
1.50708
β
= 0.25
30
0.56332
0.912
1.61897
0.54297
0.911
1.67780
0.54291
0.911
1.68078
50
0.52221
0.926
1.77323
0.50442
0.925
1.83378
0.50437
0.926
1.83595
= 0.27863
10
0.21782
0.841
3.86098
0.19436
0.840
4.32187
0.19433
0.841
4.32769
α
= 7.50
20
0.17894
0.892
4.98491
0.15447
0.891
5.76811
0.15442
0.891
5.76997
β
= 0.25
30
0.14337
0.911
6.35418
0.12668
0.910
7.18345
0.12664
0.910
7.18572
50
0.11645
0.926
7.95191
0.08896
0.925
10.39793
0.08895
0.926
10.41034