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

Table 4

BCIs (AWs, CPs, and RCs) of PCIs and using LSEs of α and β.

PCIs	n	-boot			-boot			-boot
Parameters		AWs	CPs	RCs	AWs	CPs	RCs	AWs	CPs	RCs
= 0.60004	10	0.41211	0.834	2.02373	0.39177	0.836	2.13390	0.39173	0.835	2.13157
α = 1.50	20	0.38322	0.887	2.31459	0.35232	0.888	2.52043	0.35224	0.888	2.52100
β = 0.50	30	0.35312	0.909	2.57419	0.33255	0.911	2.73943	0.33243	0.910	2.73741
	50	0.33407	0.925	2.76888	0.32317	0.926	2.86536	0.31398	0.926	2.94923
= 0.13973	10	0.14321	0.840	5.86551	0.12221	0.841	6.88159	0.12214	0.840	6.87735
α = 1.50	20	0.12467	0.890	7.13884	0.10322	0.890	8.62236	0.10316	0.890	8.62737
β = 0.50	30	0.11311	0.912	8.06294	0.09246	0.912	9.86372	0.09227	0.911	9.87319
	50	0.09409	0.925	9.83101	0.07333	0.926	12.62784	0.07315	0.926	12.65892
= 0.65709	10	0.42813	0.835	1.95034	0.40999	0.837	2.04151	0.40896	0.836	2.04420
α = 2.00	20	0.38922	0.889	2.28405	0.35692	0.890	2.49355	0.35677	0.889	2.49180
β = 0.50	30	0.36248	0.910	2.51048	0.32248	0.910	2.82188	0.32217	0.910	2.82459
	50	0.32825	0.926	2.82102	0.30904	0.927	2.99961	0.30895	0.928	3.00372
= 0.15609	10	0.14589	0.840	5.75776	0.12684	0.841	6.63040	0.12677	0.840	6.62617
α = 2.00	20	0.12498	0.889	7.11313	0.10478	0.890	8.49398	0.10463	0.891	8.51572
β = 0.50	30	0.11941	0.910	7.62080	0.09626	0.911	9.46395	0.09618	0.911	9.47182
	50	0.10127	0.926	9.14387	0.07576	0.927	12.23600	0.07563	0.927	12.25704
= 0.52232	10	0.38334	0.835	2.17822	0.36783	0.837	2.27550	0.36777	0.836	2.27315
α = 2.50	20	0.35387	0.889	2.51222	0.33244	0.888	2.67115	0.33228	0.889	2.67545
β = 0.75	30	0.32379	0.909	2.80737	0.30879	0.910	2.94698	0.30866	0.910	2.94822
	50	0.30957	0.925	2.98801	0.28579	0.926	3.24014	0.28574	0.927	3.24420
= 0.14535	10	0.12389	0.839	6.77213	0.10664	0.841	7.88634	0.10657	0.840	7.88214
α = 2.50	20	0.10944	0.890	8.13230	0.09236	0.890	9.63620	0.09228	0.890	9.64456
β = 0.75	30	0.09144	0.910	9.95188	0.07467	0.912	12.21374	0.07458	0.911	12.21507
	50	0.06939	0.926	13.3448	0.05585	0.927	16.59803	0.05574	0.928	16.64872
= 1.00322	10	0.66283	0.840	1.26729	0.64575	0.838	1.29771	0.64571	0.839	1.29934
α = 7.50	20	0.61477	0.891	1.44932	0.58999	0.890	1.50850	0.58994	0.890	1.50862
β = 0.25	30	0.56341	0.912	1.61871	0.54306	0.911	1.67531	0.54304	0.911	1.67759
	50	0.52228	0.929	1.77873	0.50448	0.927	1.83753	0.50444	0.927	1.83768
= 0.27863	10	0.21791	0.842	3.86398	0.19444	0.841	4.32524	0.19439	0.842	4.33149
α = 7.50	20	0.17899	0.893	4.98910	0.15453	0.892	5.77234	0.15450	0.892	5.77436
β = 0.25	30	0.14340	0.912	6.35983	0.12674	0.911	7.18794	0.12671	0.911	7.18964
	50	0.11653	0.927	7.95503	0.08908	0.926	10.39515	0.08906	0.927	10.40871