Inference of Process Capability Index for 3-Burr-XII Distribution Based on Progressive Type-II Censoring

Table 6

True value of and its classical and the Bayes estimates using different methods of estimation along with their MSEs (in parentheses) when .

		()		Classical estimates of			Bayes estimates of
				MLE	Boot-p	Boot-t	Prior-0	Prior-I
20	10		0.8180	0.9869	0.9920	0.9922	0.9602	0.8216
				(0.0285)	(0.0275)	(0.0265)	(0.0202)	(0.0200)
			0.8180	0.9028	0.8365	0.8365	0.8784	0.8418
				(0.0072)	(0.0065)	(0.0060)	(0.0036)	(0.0006)
20	15		0.8180	0.9806	0.9554	0.9905	0.9644	0.7805
				(0.0264)	(0.0250)	(0.0241)	(0.0214)	(0.0014)
			0.8180	0.9368	0.9262	0.9262	0.9200	0.9306
				(0.0141)	(0.0117)	(0.0112)	(0.0104)	(0.0101)
40	15		0.8180	0.8236	0.8365	0.8382	0.8110	0.8348
				(0.0009)	(0.0007)	(0.0006)	(0.0003)	(0.0001)
			0.8180	0.8208	0.8030	0.8035	0.8022	0.7999
				(0.0007)	(0.0006)	(0.0004)	(0.0002)	(0.0001)
40	30		0.8180	0.9870	0.9812	0.9795	0.9575	0.8167
				(0.0228)	(0.0222)	(0.0218)	(0.0195)	0.0002
			0.8180	0.8870	0.8750	0.8751	0.8791	0.9731
				(0.0048)	(0.0043)	(0.0040)	(0.0037)	(0.0027)
60	30		0.8180	0.8922	0.9100	0.9129	0.8813	0.7453
				(0.0055)	(0.0045)	(0.0042)	(0.0040)	(0.0053)
			0.8180	0.8873	0.8860	0.8862	0.8794	0.8321
				(0.0024)	(0.0023)	(0.0020)	(0.0019)	(0.0002)
60	40		0.8180	0.8161	0.8255	0.8252	0.8102	0.8248
				(0.0006)	(0.0005)	(0.0003)	(0.0002)	(0.0001)
			0.8180	0.7428	0.7360	0.7358	0.7359	0.8374
				(0.0028)	(0.0024)	(0.0021)	(0.0018)	(0.0002)
80	40		0.8180	0.9559	0.9599	0.9598	0.9500	0.8430
				(0.0095)	(0.0092)	(0.0089)	(0.0087)	(0.0003)
			0.8180	0.7865	0.7768	0.7760	0.7829	0.7459
				(0.0005)	(0.0004)	(0.0003)	(0.0002)	(0.0001)
80	50		0.8180	0.8543	0.8744	0.8733	0.8469	0.8165
				(0.0013)	(0.0011)	(0.0010)	(0.0008)	(0.0005)
			0.8180	0.8848	0.8788	0.8784	0.8803	0.8433
				(0.0022)	(0.0020)	(0.0017)	(0.0014)	(0.0006)
100	60		0.8180	0.8094	0.8189	0.8185	0.8053	0.7262
				(0.0009)	(0.0007)	(0.0006)	(0.0004)	(0.0002)
			0.8180	0.8789	0.8771	0.8763	0.8745	0.8107
				(0.0037)	(0.0034)	(0.0033)	(0.0032)	(0.0001)
100	80		0.8180	0.8815	0.8820	0.8817	0.8778	0.7649
				(0.0041)	(0.0038)	(0.0035)	(0.0031)	(0.0028)
			0.8180	0.8103	0.7284	0.8042	0.8081	0.8103
				(0.0016)	(0.0012)	(0.0010)	(0.0008)	(0.0001)