Classical Estimation of the Index and Its Confidence Intervals for Power Lindley Distributed Quality Characteristics

Table 12

Estimates and widths of BCIs of the indices and [, , , and ].

Data set	Methods of estimation	Estimates of and	Widths of BCIs
			-boot	-boot	-boot
I	MLE	= 0.65844	0.41386	0.39799	0.39767
		= 0.16141	0.13449	0.11676	0.11673
	OLSE	= 0.63071	0.41402	0.40805	0.39788
		= 0.15569	0.13452	0.11678	0.11675
	WLSE	= 0.65470	0.41392	0.39777	0.39772
		= 0.16117	0.13451	0.11677	0.11673
	CME	= 0.63736	0.41391	0.39778	0.39773
		= 0.15755	0.13450	0.11678	0.11674
	MPSE	= 0.65378	0.41390	0.39776	0.39773
		= 0.16111	0.13452	0.11677	0.11674
	ADE	= 0.64574	0.41393	0.39781	0.39777
		= 0.15902	0.13453	0.11679	0.11677
	RADE	= 0.62084	0.41392	0.39781	0.39778
		= 0.15301	0.13454	0.11680	0.11677
II	MLE	= 0.42365	0.27087	0.24350	0.24347
		= 0.12387	0.09233	0.08653	0.08651
	OLSE	= 0.42765	0.27097	0.24351	0.24346
		= 0.12422	0.09233	0.08655	0.08652
	WLSE	= 0.42856	0.27093	0.24351	0.24347
		= 0.12439	0.09234	0.08655	0.08653
	CME	= 0.42298	0.27095	0.24350	0.24349
		= 0.12356	0.09235	0.08654	0.08653
	MPSE	= 0.42278	0.27095	0.24351	0.24348
		= 0.12343	0.09235	0.08656	0.08653
	ADE	= 0.42861	0.27103	0.24353	0.24350
		= 0.12444	0.09239	0.08658	0.08656
	RADE	= 0.42859	0.27103	0.24354	0.24350
		= 0.12442	0.09240	0.08659	0.08656