Research Article

Estimation for Parameters of Life of the Marshall-Olkin Generalized-Exponential Distribution Using Progressive Type-II Censored Data

Table 17

The 95% asymptotic/credible interval estimates [with their CLs] under data sets I and II.

SchemeParameterACI-NAACI-NLBCIHPD

Data-I
(0.0000, 0.8595) [0.8582](0.0198, 3.0176) [2.9978](0.2382, 0.2501) [0.0118](0.2382, 0.2501) [0.0118]
(296.14, 307.82) [11.680](296.19, 307.88) [11.691](302.81, 302.83) [0.0117](302.81, 302.83) [0.0117]
(0.0073, 0.0239) [0.0166](0.0092, 0.0265) [0.0173](0.0127, 0.0188) [0.0061](0.0126, 0.0187) [0.0060]
(0.8588, 0.9999) [0.1411](0.8628, 0.9999) [0.1371](0.9260, 0.9620) [0.0360](0.9280, 0.9636) [0.0356]
(0.0000, 0.0022) [0.0022](0.0003, 0.0036) [0.0033](0.0006, 0.0015) [0.0009](0.0006, 0.0015) [0.0009]
(0.0000, 1.6033) [1.6033](0.1515, 2.8051) [2.6536](0.6460, 0.6578) [0.0118](0.6461, 0.6579) [0.0118]
(0.0000, 11.286) [11.286](0.1239, 61.137) [61.137](2.7463, 2.7581) [0.0118](2.7465, 2.7583) [0.0118]
(0.0000, 0.0118) [0.0118](0.0019, 0.0166) [0.0147](0.0041, 0.0075) [0.0034](0.0041, 0.0075) [0.0034]
(0.4251, 0.9067) [0.4816](0.4638, 0.9560) [0.4922](0.5889, 0.7407) [0.1518](0.5900, 0.7417) [0.1516]
(0.0007, 0.0070) [0.0063](0.0017, 0.0088) [0.0071](0.0027, 0.0053) [0.0026](0.0026, 0.0052) [0.0026]
(0.0000, 1.9375) [1.9375](0.3163, 2.7428) [2.4264](0.9296, 0.9335) [0.0039](0.9295, 0.9334) [0.0039]
(0.0000, 5.6043) [5.6043](0.0001, 8244.3) [8244.3](0.5237, 0.5276) [0.0039](0.5237, 0.5276) [0.0039]
(0.0000, 0.0219) [0.0219](0.0001, 4.0602) [4.0601](0.0019, 0.0036) [0.0017](0.0019, 0.0036) [0.0017]
(0.3956, 0.8159) [0.4203](0.4282, 0.8569) [0.4287](0.5170, 0.6866) [0.1696](0.5164, 0.6854) [0.1690]
(0.0004, 0.0082) [0.0078](0.0017, 0.0107) [0.0090](0.0033, 0.0056) [0.0023](0.0033, 0.0056) [0.0023]

Data-II
(1.3811, 7.1292) [5.7481](2.1656, 8.3608) [6.1952](4.0952, 4.4105) [0.3153](4.0955, 4.4107) [0.3152]
(0.0000, 2.0101) [2.0101](0.0019, 56.228) [56.226](0.2136, 0.4867) [0.2731](0.2147, 0.4873) [0.2726]
(0.0000, 2.4250) [2.4250](0.1338, 5.4104) [5.2765](0.7269, 0.9931) [0.2662](0.7294, 0.9952) [0.2659]
(0.6137, 0.9066) [0.2929](0.6270, 0.9216) [0.1371](0.6563, 0.8470) [0.1906](0.6664, 0.8539) [0.1875]
(0.1854, 1.2424) [1.0570](0.3405, 1.4967) [1.1562](0.4684, 1.0015) [0.5331](0.4530, 0.9793) [0.5263]
(0.7840, 9.1933) [8.4093](2.1475, 11.588) [9.4409](4.6080, 5.3856) [0.7776](4.6064, 5.3816) [0.7752]
(0.0000, 5.5587) [5.5587](0.0057, 147.40) [147.39](0.6005, 1.3118) [0.7113](0.5975, 1.3079) [0.7103]
(0.0000, 2.9362) [2.9362](0.1862, 6.1331) [5.9469](0.8663, 1.3248) [0.4585](0.8644, 1.3219) [0.4574]
(0.7667, 0.9680) [0.2013](0.7723, 0.9741) [0.2018](0.7776, 0.9269) [0.1494](0.7851, 0.9325) [0.1474]
(0.1468, 0.6964) [0.5496](0.2197, 0.8090) [0.5894](0.2458, 0.6759) [0.4301](0.2370, 0.6642) [0.4272]
(0.4469, 8.2488) [7.8018](1.7726, 10.664) [8.8915](3.7588, 4.9459) [1.1871](3.7527, 4.9383) [1.1856]
(0.0000, 6.4795) [6.4795](0.0794, 32.851) [32.772](1.0759, 2.2085) [1.1326](1.0858, 2.2128) [1.1270]
(0.2788, 2.5505) [2.2717](0.6338, 3.1576) [2.5238](1.1212, 1.7705) [0.6493](1.1070, 1.7542) [0.6472]
(0.6373, 0.9463) [0.3090](0.6515, 0.9624) [0.3109](0.6612, 0.8832) [0.2220](0.6740, 0.8934) [0.2194]
(0.1165, 1.0548) [0.9383](0.2629, 1.3048) [1.0419](0.3420, 0.9462) [0.6042](0.3258, 0.9194) [0.5936]