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

Table 9

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

PCIs	n	-boot			-boot			-boot
Parameters		AWs	CPs	RCs	AWs	CPs	RCs	AWs	CPs	RCs
= 0.60004	10	0.41882	0.837	1.99847	0.39619	0.840	2.12019	0.39609	0.840	2.12073
α = 1.50	20	0.38844	0.889	2.28864	0.35469	0.890	2.50923	0.35456	0.890	2.51015
β = 0.50	30	0.35776	0.912	2.54919	0.33466	0.915	2.73411	0.33460	0.914	2.73161
	50	0.33973	0.928	2.73158	0.32511	0.929	2.85749	0.31850	0.930	2.91993
= 0.13973	10	0.14912	0.838	5.61963	0.12789	0.840	6.56814	0.12784	0.841	6.57853
α = 1.50	20	0.12811	0.888	6.93154	0.10702	0.889	8.30685	0.10692	0.890	8.32398
β = 0.50	30	0.11935	0.912	7.64139	0.09603	0.915	9.52827	0.09587	0.914	9.53374
	50	0.09537	0.928	9.73052	0.07908	0.929	11.74759	0.07891	0.930	11.78557
= 0.65709	10	0.42964	0.837	1.94814	0.40919	0.840	2.05283	0.40907	0.841	2.05588
α = 2.00	20	0.39167	0.889	2.26976	0.35702	0.890	2.49285	0.35688	0.890	2.49383
β = 0.50	30	0.37171	0.913	2.45621	0.32485	0.915	2.81668	0.32474	0.914	2.81455
	50	0.33177	0.928	2.79711	0.30969	0.929	2.99977	0.30937	0.930	3.00610
= 0.15609	10	0.14755	0.841	5.69976	0.12704	0.842	6.62783	0.12693	0.842	6.63357
α = 2.00	20	0.12624	0.889	7.04214	0.10488	0.891	8.49542	0.10477	0.891	8.50434
β = 0.50	30	0.12173	0.913	7.50020	0.09644	0.915	9.48776	0.09636	0.915	9.49564
	50	0.10537	0.928	8.80706	0.07590	0.930	12.25296	0.07586	0.930	12.25942
= 0.52232	10	0.38561	0.838	2.17318	0.36799	0.840	2.28267	0.36789	0.840	2.28329
α = 2.50	20	0.35553	0.888	2.49767	0.33260	0.890	2.67588	0.33246	0.891	2.68002
β = 0.75	30	0.32593	0.914	2.80428	0.30901	0.915	2.96106	0.30889	0.916	2.96545
	50	0.31150	0.929	2.98234	0.28608	0.929	3.24734	0.28592	0.930	3.25265
= 0.14535	10	0.12549	0.841	7.53111	0.10679	0.842	7.88463	0.10667	0.842	7.89350
α = 2.50	20	0.11167	0.889	7.96095	0.09257	0.891	9.62514	0.09246	0.891	9.63659
β = 0.75	30	0.09333	0.913	9.78249	0.07477	0.914	12.22415	0.07465	0.915	12.25720
	50	0.06979	0.928	13.29703	0.05599	0.929	16.59224	0.05587	0.930	16.64578
= 1.00322	10	0.66294	0.838	1.26406	0.64573	0.837	1.29620	0.64569	0.837	1.29628
α = 7.50	20	0.61478	0.892	1.45092	0.58997	0.890	1.50855	0.58994	0.890	1.50862
β = 0.25	30	0.56339	0.912	1.61877	0.54303	0.911	1.67762	0.54299	0.911	1.67774
	50	0.52225	0.926	1.77309	0.50446	0.925	1.83364	0.50443	0.925	1.83375
= 0.27863	10	0.21786	0.842	3.86486	0.19439	0.841	4.32635	0.19438	0.841	4.32657
α = 7.50	20	0.17899	0.892	4.98351	0.15454	0.891	5.76549	0.15451	0.891	5.76661
β = 0.25	30	0.14347	0.912	6.35672	0.12674	0.911	7.18794	0.12671	0.911	7.18964
	50	0.11653	0.927	7.95503	0.08898	0.925	10.39559	0.08896	0.925	10.39793