Journals
Publish with us
Publishing partnerships
About us
Blog
International Journal of Mathematics and Mathematical Sciences
Journal overview
For authors
For reviewers
For editors
Table of Contents
Special Issues
International Journal of Mathematics and Mathematical Sciences
/
2020
/
Article
/
Tab 8
/
Research Article
Inference of Process Capability Index
for 3-Burr-XII Distribution Based on Progressive Type-II Censoring
Table 8
True value of
and 95% CIs of MLE, Boot-p and Boot-t when
.
(
)
MLE
Boot-p
Boot-t
Lower
Upper
Length
Lower
Upper
Length
Lower
Upper
Length
20
10
0.8180
0.7741
1.1998
0.4258
0.5354
1.0526
0.5172
0.7693
1.0526
0.2833
0.8180
0.7131
1.0925
0.3793
0.1354
1.0107
0.8753
-0.0778
1.0344
1.1122
20
15
0.8180
0.8467
1.1145
0.2679
0.6988
1.0520
0.3532
0.9158
1.0458
0.1301
0.8180
0.8006
1.0729
0.2723
0.4764
1.0418
0.5653
0.7925
1.0391
0.2465
40
15
0.8180
0.5041
1.1430
0.6389
0.3706
1.0526
0.6820
0.5780
1.0332
0.4552
0.8180
0.6395
1.0021
0.3626
0.1145
0.9203
0.8049
0.4262
1.0229
0.5967
40
30
0.8180
0.8677
1.0702
0.2026
0.8195
1.0526
0.2331
0.9280
1.0301
0.1021
0.8180
0.7740
1.0001
0.2260
0.4504
0.9534
0.5030
0.7252
0.9873
0.2621
60
30
0.8180
0.7302
1.0541
0.3239
0.5126
1.0512
0.5386
0.7901
1.0289
0.2388
0.8180
0.7735
1.001
0.2275
0.6012
0.9419
0.3407
0.6192
1.0244
0.4052
60
40
0.8180
0.6483
0.9839
0.3356
0.5042
0.8365
0.3323
0.7648
0.8921
0.1272
0.8180
0.6129
0.8726
0.2597
0.5210
0.8358
0.3148
0.5437
0.8632
0.3195
80
40
0.8180
0.7932
1.1186
0.3254
0.7126
1.0445
0.3319
0.8904
1.0159
0.1255
0.8180
0.6681
0.9048
0.2366
0.5686
0.8883
0.3197
0.5432
0.9168
0.3736
80
50
0.8180
0.7086
1.0000
0.2913
0.5234
0.8712
0.3478
0.7975
1.0158
0.2183
0.8180
0.7961
0.9735
0.1774
0.6135
0.9505
0.3370
0.7063
0.9696
0.2633
100
60
0.8180
0.6906
0.9281
0.2375
0.6531
0.9581
0.3050
0.7599
0.8958
0.1359
0.8180
0.7974
0.9605
0.1631
0.1135
0.9295
0.8160
0.6962
0.9741
0.2779
100
80
0.8180
0.8008
0.9623
0.1615
0.6036
0.8926
0.2890
0.7572
0.9099
0.1527
0.8180
0.7284
0.8922
0.1637
0.7428
0.8929
0.1501
0.7436
0.8892
0.1456