Research Article
Estimation for Parameters of Life of the Marshall-Olkin Generalized-Exponential Distribution Using Progressive Type-II Censored Data
Table 16
The frequentist and bayes estimates (with their SEs) under data sets I and II.
| Scheme | Parameter | MLE | SEL | LL | | −2 | −0.02 | 2 |
| Data-I | | | 0.2442 (0.3133) | 0.2441 (1.10) | 0.2442 (2.38) | 0.2442 (3.33) | 0.2442 (9.16) | | 302.82 (2.9810) | 302.82 (1.09) | 302.82 (1.14) | 302.82 (5.71) | 302.82 (1.19) | | 0.0156 (0.0042) | 0.0157 (9.77) | 0.0157 (5.05) | 0.0157 (4.90) | 0.0157 (4.75) | | 0.9471 (0.0451) | 0.9462 (5.84) | 0.9463 (6.21) | 0.9462 (6.75) | 0.9461 (7.29) | | 0.0010 (0.0006) | 0.0009 (1.54) | 0.0010 (2.24) | 0.0010 (2.23) | 0.0010 (2.23) | | | 0.6520 (0.4854) | 0.6520 (1.90) | 0.6520 (3.68) | 0.6519 (1.94) | 0.6520 (7.68) | | 2.7522 (4.3540) | 2.7521 (1.89) | 2.7521 (4.54) | 2.7522 (1.02) | 2.7521 (1.59) | | 0.0057 (0.0031) | 0.0057 (5.44) | 0.0057 (2.06) | 0.0057 (2.02) | 0.0057 (1.97) | | 0.6659 (0.1229) | 0.6646 (2.45) | 0.6661 (5.21) | 0.6646 (4.17) | 0.6661 (1.37) | | 0.0039 (0.0016) | 0.0039 (4.16) | 0.0039 (2.52) | 0.0039 (2.49) | 0.0039 (2.47) | | | 0.9315(0.5133) | 0.9315 (6.31) | 0.9315 (1.10) | 0.9315 (1.16) | 0.9315 (1.23) | | 0.5257 (2.5912) | 0.5257 (6.29) | 0.5257 (1.36) | 0.5257 (1.42) | 0.5257 (1.48) | | 0.0026 (0.0098) | 0.0027 (2.81) | 0.0027 (8.15) | 0.0027 (8.13) | 0.0027 (8.12) | | 0.6057 (0.1072) | 0.5974 (2.75) | 0.5993 (5.39) | 0.5974 (6.59) | 0.5955 (7.79) | | 0.0043(0.0020) | 0.0044 (3.69) | 0.0044 (9.90) | 0.0044 (9.88) | 0.0044 (9.86) |
| Data-II | | | 4.2551 (1.4664) | 4.2535 (5.09) | 4.2600 (3.12) | 4.2536 (9.42) | 4.2471 (5.09) | | 0.3270 (0.8587) | 0.3455(4.39) | 0.3504 (1.48) | 0.3456 (1.17) | 0.3407 (8.69) | | 0.8510 (0.8031) | 0.8586 (4.28) | 0.8632 (7.69) | 0.8586 (4.82) | 0.8540 (1.90) | | 0.7602 (0.0747) | 0.7600 (3.06) | 0.7623 (1.39) | 0.7600 (6.12) | 0.7576 (1.58) | | 0.7139 (0.2696) | 0.7119 (8.57) | 0.7310 (1.07) | 0.7121 (1.18) | 0.6942 (1.25) | | | 4.9887 (2.1453) | 4.9941 (1.25) | 5.0334 (2.83) | 4.9945 (3.63) | 4.9548 (2.14) | | 0.9138 (2.3699) | 0.9500 (1.15) | 0.9835 (4.41) | 0.9503 (2.31) | 0.9173 (2.20) | | 1.0688 (0.9528) | 1.0867 (7.30) | 1.1002 (1.98) | 1.0868 (1.14) | 1.0735 (2.98) | | 0.8674 (0.0514) | 0.8619 (2.42) | 0.8633 (2.57) | 0.8619 (3.47) | 0.8604 (4.42) | | 0.4216 (0.1402) | 0.4359 (6.97) | 0.4485 (1.70) | 0.4360 (9.14) | 0.4242 (1.64) | | | 4.3478 (1.9903) | 4.3514 (1.92) | 4.4437 (6.07) | 4.3523 (2.83) | 4.2601 (5.55) | | 1.6147 (2.4821) | 1.6355 (1.82) | 1.7195 (6.63) | 1.6363 (1.37) | 1.5536 (3.86) | | 1.4146 (0.5795) | 1.4307 (1.04) | 1.4583 (2.77) | 1.4310 (1.04) | 1.4042 (6.55) | | 0.7918 (0.0788) | 0.7835 (3.61) | 0.7867 (3.23) | 0.7835 (5.24) | 0.7802 (7.35) | | 0.5857 (0.2394) | 0.6097 (9.78) | 0.6348 (3.11) | 0.6099 (1.53) | 0.5869 (7.61) |
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