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

Table 8

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

PCIs	n	-boot			-boot			-boot
Parameters		AWs	CPs	RCs	AWs	CPs	RCs	AWs	CPs	RCs
= 0.60004	10	0.41851	0.837	1.99995	0.39615	0.839	2.11788	0.39606	0.839	2.11836
α = 1.50	20	0.38813	0.889	2.29046	0.35466	0.890	2.50944	0.35454	0.890	2.51029
β = 0.50	30	0.35744	0.914	2.55707	0.33463	0.914	2.73137	0.33457	0.915	2.73485
	50	0.33941	0.928	2.73415	0.32507	0.929	2.85784	0.31848	0.930	2.92012
= 0.13973	10	0.14884	0.838	5.63020	0.12787	0.839	6.56135	0.12782	0.840	6.57174
α = 1.50	20	0.12779	0.888	6.94890	0.10698	0.889	8.30996	0.10689	0.890	8.32631
β = 0.50	30	0.11908	0.911	7.65031	0.09599	0.912	9.50098	0.09584	0.913	9.52629
	50	0.09504	0.927	9.75378	0.07904	0.927	11.72823	0.07888	0.928	11.76470
= 0.65709	10	0.42936	0.836	1.94708	0.40917	0.839	2.05049	0.40903	0.840	2.05363
α = 2.00	20	0.39134	0.888	2.26912	0.35698	0.890	2.49313	0.35685	0.890	2.49404
β = 0.50	30	0.37138	0.911	2.45301	0.32483	0.913	2.81070	0.32471	0.913	2.81173
	50	0.33145	0.927	2.79680	0.30964	0.928	2.99702	0.30933	0.929	3.00326
= 0.15609	10	0.14722	0.840	5.70574	0.12699	0.842	6.63044	0.12691	0.842	6.63462
α = 2.00	20	0.12589	0.889	7.06172	0.10484	0.891	8.49866	0.10475	0.891	8.50596
β = 0.50	30	0.12136	0.911	7.50659	0.09641	0.913	9.46997	0.09634	0.914	9.48723
	50	0.10511	0.928	8.82884	0.07589	0.929	12.24140	0.07584	0.930	12.26265
= 0.52232	10	0.38536	0.837	2.17199	0.36797	0.839	2.28007	0.36787	0.839	2.28069
α = 2.50	20	0.35521	0.888	2.49992	0.33258	0.890	2.67604	0.33244	0.890	2.67717
β = 0.75	30	0.32577	0.912	2.79952	0.30897	0.914	2.95821	0.30886	0.914	2.95926
	50	0.31133	0.928	2.98075	0.28604	0.929	3.24779	0.28589	0.930	3.25299
= 0.14535	10	0.12533	0.841	6.71028	0.10676	0.842	7.88684	0.10664	0.842	7.89572
α = 2.50	20	0.11146	0.889	7.97595	0.09254	0.891	9.62826	0.09244	0.891	9.63868
β = 0.75	30	0.09308	0.912	9.79802	0.07473	0.915	12.24407	0.07462	0.915	12.26212
	50	0.06961	0.928	13.33141	0.05596	0.929	16.60114	0.05584	0.930	16.65472
= 1.00322	10	0.66291	0.838	1.26412	0.64569	0.837	1.29628	0.64566	0.837	1.29634
α = 7.50	20	0.61474	0.892	1.45101	0.58994	0.890	1.50862	0.58992	0.890	1.50867
β = 0.25	30	0.56336	0.912	1.61885	0.54300	0.911	1.67771	0.54298	0.911	1.67777
	50	0.52222	0.926	1.77319	0.50441	0.925	1.83382	0.50440	0.926	1.83584
= 0.27863	10	0.21783	0.842	3.86539	0.19436	0.841	4.32702	0.19434	0.841	4.32746
α = 7.50	20	0.17896	0.892	4.98435	0.15451	0.891	5.76661	0.15450	0.891	5.76699
β = 0.25	30	0.14342	0.912	6.35894	0.12669	0.911	7.19078	0.12666	0.911	7.19248
	50	0.11651	0.927	7.95639	0.08898	0.925	10.39559	0.08897	0.925	10.39910