Research Article

Classical and Bayesian Estimation of the Inverse Weibull Distribution: Using Progressive Type-I Censoring Scheme

Table 10

MLL, Bayesian, and St.E and ACI based on the PCTI under various censoring schemes for data set II.

Sch.Parm.MLLMCMCLindley
EstimateSt.EACIEstimateSt.EHPDEstimate

I02.96510.6477(1.6130, 5.6993)2.96609.34 (2.9464, 2.9853)2.9793
27.01131.7130(23.3172, 33.3233)27.01151.01 (26.9920, 27.0312)27.0107
253.55670.8081(2.0791, 6.0904)3.55729.72 (3.5382, 3.5767)3.5741
44.84613.3430(24.0343, 64.6019)44.84601.02 (44.8270, 44.8656)44.8457
503.22010.9133(1.5435, 7.6124)3.22049.93 (3.2016, 3.2404)3.2475
35.12254.9036(23.8966, 46.6325)35.12241.06 (35.1022, 35.1414)35.1216

II03.50620.7624(3.0917, 7.3792)3.50689.83 (3.48812, 3.5276)3.5222
38.44922.7722(23.9207, 53.5191)38.44911.02 (38.4290, 38.4685)38.4487
254.65831.0922(2.9813, 10.7054)4.65859.88 (4.6387, 4.6772)4.6790
59.40189.4702(28.3353, 78.0982)59.40201.06 (29.3828, 80.4223)59.4016
503.90681.1731(2.0377, 12.2449)3.90669.97 (3.8868, 3.9259)3.9306
48.491613.8929(18.7758, 74.7383)48.49151.09 (48.4720, 48.5111)48.4911

Note: ACI: asymptotic confidence interval, Parm.: parameter, Schs.: scheme, and St.E: standard error.