Advances in Statistics

Research Article

Estimation in Step-Stress Accelerated Life Tests for Power Generalized Weibull Distribution with Progressive Censoring

Table 6

Approximate CIs, bootstrap CIs, and their lengths of the parameters , , and with true values , , , and .
C.SCIsLengths of CIs
Approx. CIBoot CIApprox. CIBoot CI
Approx. CIBoot CIApprox. CIBoot CI
Approx. CIBoot CIApprox. CIBoot CI
159(0.1489, 0.7336)(0.2118, 0.7733)0.58470.5615
(0.3260, 1.4214)(0.4495, 1.4362)1.09540.9867
(0.264, 3.4898)(0.4590, 2.5987)3.22572.1397
     
(0.1980, 0.7669)(0.2279, 0.7145)0.56890.4865
(0.3777, 1.3116)(0.4370, 1.4153)0.93380.9783
(0.1832, 3.1164)(0.3830, 2.5063)2.93322.1233
     
(0.1535, 0.7461)(0.2099, 0.7724)0.59260.5625
(0.3293, 1.3863)(0.4247, 1.4169)1.05690.9922
(0.0386, 3.3041)(0.4703, 2.5948)3.26542.1245
1512(0.2115, 0.7131)(0.2333, 0.6369)0.50160.4036
(0.3766, 1.3059)(0.4388, 1.3854)0.92930.9466
(0.3775, 3.2869)(0.3155, 2.4013)2.90942.0858
     
(0.2342, 0.7623)(0.2449, 0.7071)0.52810.4621
(0.4032, 1.2425)(0.4430, 1.2969)0.83920.8539
(0.1291, 2.8591)(0.2441, 2.3952)2.73002.1511
     
(0.2151, 0.7266)(0.2543, 0.6699)0.51140.4156
(0.3851, 1.2612)(0.4455, 1.3172)0.87600.8717
(0.1255, 3.0455)(0.3474, 2.4387)2.92002.0913
2515(0.2230, 0.6928)(0.2898, 0.6862)0.46980.3964
(0.4230, 1.1528)(0.4555, 1.1792)0.72970.7237
(0.1757, 3.0817)(0.4616, 2.3486)2.90601.8870
     
(0.2527, 0.7250)(0.2686, 0.6988)0.47230.4302
(0.4091, 1.1189)(0.4626, 1.1053)0.70970.6426
(0.0479, 2.9299)(0.2599, 2.1087)2.88201.8487
     
(0.1888, 0.6847)(0.2194, 0.6154)0.49580.3959
(0.3968, 1.1823)(0.4807, 1.1153)0.78550.6346
(0.2021, 3.1165)(0.4966, 2.3013)2.91441.8047
2520(0.2600, 0.6728)(0.2147, 0.5963)0.41270.3816
(0.4214, 1.0669)(0.4724, 1.1021)0.64530.6297
(0.1008, 2.9044)(0.3237, 2.1261)2.80361.8024
     
(0.2608, 0.7478)(0.3169, 0.7102)0.43970.3933
(0.3996, 1.0844)(0.4630, 0.9758)0.68480.5128
(0.1159, 2.9285)(0.2506, 2.0141)2.81261.7635
     
(0.2594, 0.6774)(0.2583, 0.5887)0.41790.3304
(0.4163, 1.0889)(0.4536, 1.0658)0.67250.6122
(0.0042, 2.8281)(0.3537, 2.1345)2.82391.7808
5030(0.2610, 0.5761)(0.2786, 0.5769)0.31500.2983
(0.4734, 1.0151)(0.5172, 0.9153)0.54160.3975
(0.2034, 2.8585)(0.5499, 2.1088)2.65511.5589
     
(0.3237, 0.6703)(0.2911, 0.6692)0.34660.3781
(0.5008, 0.9729)(0.4921, 0.9025)0.47200.4104
(0.0618, 2.5685)(0.3297, 1.8263)2.50671.4966
     
(0.2618, 0.6395)(0.2505, 0.5731)0.37760.3226
(0.4788, 0.9783)(0.4916, 0.9183)0.49940.4267
(0.6496, 2.8057)(0.6503, 2.1589)2.15611.5086
5040(0.3095, 0.6117)(0.2989, 0.5957)0.30220.2968
(0.4879, 0.9541)(0.5116, 0.8263)0.46610.3147
(0.0836, 2.5993)(0.3424, 1.8137)2.51571.4713
     
(0.2968, 0.6066)(0.3149, 0.6073)0.30980.2924
(0.4553, 0.9823)(0.4654, 0.7823)0.44540.3169
(0.1055, 2.6416)(0.2577, 1.7017)2.53601.4440
     
(0.3029, 0.6053)(0.3011, 0.5858)0.30240.2847
(0.4754, 0.9730)(0.5081, 0.9101)0.49760.4020
(0.0170, 2.7283)(0.3498, 1.7981)2.71121.4483