Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring

Table 1

The bias and MSE values (MSE in parentheses) of estimators for .

				Prior	MLE	Lindley	MC	MCMC
10	10	10	10	Conjugate	0.011339 (0.015528)	0.010107 (0.012152)	0.010295 (0.012573)	0.006669 (0.006495)
				Jeffreys	—	0.010822 (0.014271)	0.011231 (0.014295)	0.007375 (0.007236)
		9	8	Conjugate	0.009474 (0.021751)	0.003927 (0.016272)	0.007728 (0.016904)	0.005395 (0.008246)
				Jeffreys	—	0.004289 (0.019732)	0.007793 (0.019736)	0.004971 (0.009175)
		8	8	Conjugate	-0.000753 (0.021541)	-0.000852 (0.016715)	-0.000681 (0.017157)	-0.000596 (0.008737)
				Jeffreys	—	-0.000815 (0.019670)	-0.000749 (0.019676)	-0.000502 (0.008889)
10	30	10	30	Conjugate	-0.015306 (0.010153)	0.010855 (0.008091)	-0.006733 (0.008151)	-0.005904 (0.004985)
				Jeffreys	—	0.009125 (0.009500)	-0.006959 (0.009400)	-0.006247 (0.005666)
		9	28	Conjugate	-0.003033 (0.009196)	0.024440 (0.007826)	0.004501 (0.007476)	0.002187 (0.004340)
				Jeffreys	—	0.024301 (0.009185)	0.006082 (0.008662)	0.003254 (0.004896)
		8	27	Conjugate	-0.017882 (0.016928)	0.015887 (0.013174)	-0.006873 (0.013339)	-0.005408 (0.007667)
				Jeffreys	—	0.013523 (0.015708)	-0.007212 (0.015539)	-0.006585 (0.008730)
30	30	30	30	Conjugate	0.007389 (0.004586)	0.007087 (0.004188)	0.007466 (0.004211)	0.006229 (0.003175)
				Jeffreys	—	0.007269 (0.004444)	0.007113 (0.004477)	0.006013 (0.003299)
		29	27	Conjugate	0.000869 (0.004186)	-0.000089 (0.003779)	0.000583 (0.003835)	0.001015 (0.002807)
				Jeffreys	—	-0.000090 (0.004044)	0.000408 (0.004046)	0.001044 (0.002948)
		27	27	Conjugate	-0.002992 (0.005576)	-0.002802 (0.005017)	-0.002798 (0.005059)	-0.002345 (0.003726)
				Jeffreys	—	-0.002939 (0.005384)	-0.002854 (0.005423)	-0.002606 (0.003900)