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)