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

Table 6

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

PCIs	n	-boot			-boot			-boot
Parameters		AWs	CPs	RCs	AWs	CPs	RCs	AWs	CPs	RCs
= 0.60004	10	0.41832	0.834	1.99368	0.39613	0.837	2.11294	0.39602	0.836	2.11100
α = 1.50	20	0.38803	0.889	2.29105	0.35460	0.889	2.50705	0.35448	0.889	2.50789
β = 0.50	30	0.35733	0.911	2.54946	0.33458	0.913	2.72879	0.33447	0.914	2.73268
	50	0.33929	0.927	2.73217	0.32504	0.928	2.85503	0.31841	0.929	2.91762
= 0.13973	10	0.14876	0.840	5.64667	0.12784	0.841	6.57853	0.12777	0.841	6.58213
α = 1.50	20	0.12769	0.890	6.97000	0.10692	0.892	8.34268	0.10685	0.892	8.34815
β = 0.50	30	0.11903	0.910	7.64513	0.09592	0.911	9.49749	0.09581	0.913	9.52927
	50	0.09498	0.928	9.77047	0.07902	0.928	11.74386	0.07887	0.929	11.77887
= 0.65709	10	0.42930	0.837	1.94968	0.40912	0.837	2.04585	0.40901	0.838	2.04884
α = 2.00	20	0.39034	0.888	2.27493	0.35694	0.888	2.48781	0.35681	0.889	2.49152
β = 0.50	30	0.36924	0.911	2.46722	0.32477	0.911	2.80506	0.32469	0.912	2.80883
	50	0.32941	0.927	2.81412	0.30959	0.927	2.99428	0.30927	0.928	3.00061
= 0.15609	10	0.14712	0.841	5.71642	0.12695	0.842	6.63253	0.12689	0.842	6.63566
α = 2.00	20	0.12583	0.888	7.05714	0.10475	0.890	8.49642	0.10469	0.890	8.50128
β = 0.50	30	0.12133	0.911	7.50844	0.09639	0.913	9.47193	0.09629	0.913	9.48177
	50	0.10509	0.927	8.82101	0.07585	0.928	12.23467	0.07579	0.929	12.25755
= 0.52232	10	0.38471	0.836	2.17306	0.36793	0.837	2.27488	0.36786	0.837	2.27532
α = 2.50	20	0.35541	0.888	2.49852	0.33251	0.890	2.67661	0.33242	0.890	2.67733
β = 0.75	30	0.32611	0.912	2.79660	0.30893	0.914	2.95859	0.30877	0.913	2.95689
	50	0.31162	0.927	2.97477	0.28595	0.929	3.24881	0.28587	0.929	3.24972
= 0.14535	10	0.12522	0.840	6.70819	0.10673	0.840	7.87032	0.10661	0.841	7.88856
α = 2.50	20	0.11134	0.889	7.98455	0.09248	0.891	9.63451	0.09239	0.891	9.64390
β = 0.75	30	0.09306	0.912	9.80012	0.07467	0.914	12.24052	0.07458	0.913	12.24188
	50	0.06964	0.928	13.32567	0.05592	0.929	16.61659	0.05579	0.929	16.65172
= 1.00322	10	0.66290	0.839	1.26565	0.64569	0.838	1.29783	0.64564	0.838	1.29793
α = 7.50	20	0.61471	0.891	1.44946	0.58993	0.889	1.50695	0.58989	0.890	1.50875
β = 0.25	30	0.56332	0.912	1.61897	0.54298	0.911	1.67777	0.54291	0.911	1.67799
	50	0.52223	0.927	1.77507	0.50445	0.926	1.83566	0.50443	0.926	1.83573
= 0.27863	10	0.21787	0.842	3.86468	0.19439	0.841	4.32635	0.19438	0.841	4.32657
α = 7.50	20	0.17893	0.892	4.98518	0.15452	0.891	5.76624	0.15447	0.892	5.77458
β = 0.25	30	0.14339	0.912	6.36027	0.12671	0.911	7.18964	0.12668	0.911	7.19134
	50	0.11649	0.927	7.95776	0.08899	0.925	10.39442	0.08896	0.926	10.40917