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

Table 3

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

PCIs	n	-boot			-boot			-boot
Parameters		AWs	CPs	RCs	AWs	CPs	RCs	AWs	CPs	RCs
= 0.60004	10	0.41186	0.837	2.03224	0.39172	0.837	2.13417	0.39169	0.836	2.13434
α = 1.50	20	0.38221	0.889	2.32594	0.35226	0.888	2.52086	0.35221	0.889	2.52406
β = 0.50	30	0.35267	0.911	2.58315	0.33249	0.910	2.73692	0.33238	0.911	2.74083
	50	0.33355	0.926	2.77619	0.32313	0.926	2.86571	0.31394	0.927	2.95279
= 0.13973	10	0.14273	0.842	5.89925	0.12217	0.841	6.88385	0.12211	0.841	6.88723
α = 1.50	20	0.12399	0.891	7.18606	0.10316	0.890	8.62737	0.10311	0.891	8.64125
β = 0.50	30	0.11256	0.912	8.10234	0.09244	0.911	9.85504	0.09223	0.912	9.88832
	50	0.09383	0.928	9.89022	0.07328	0.927	12.65010	0.07308	0.926	12.67104
= 0.65709	10	0.42786	0.837	1.95624	0.40992	0.837	2.04186	0.40893	0.837	2.04680
α = 2.00	20	0.38836	0.889	2.28911	0.35689	0.888	2.48816	0.35672	0.889	2.49215
β = 0.50	30	0.36112	0.911	2.52270	0.32245	0.910	2.82214	0.32213	0.911	2.82805
	50	0.32778	0.926	2.82506	0.30898	0.926	2.99695	0.30893	0.927	3.00067
= 0.15609	10	0.14522	0.842	5.79809	0.12681	0.841	6.63196	0.12674	0.841	6.63563
α = 2.00	20	0.12468	0.891	7.14629	0.10472	0.890	8.49885	0.10461	0.891	8.51735
β = 0.50	30	0.11883	0.912	7.67482	0.09622	0.911	9.46788	0.09614	0.912	9.48616
	50	0.09947	0.928	9.32944	0.07570	0.927	12.24570	0.07558	0.926	12.25191
= 0.52232	10	0.38283	0.837	2.18634	0.36780	0.837	2.27569	0.36773	0.837	2.27612
α = 2.50	20	0.35362	0.889	2.51399	0.33237	0.888	2.67172	0.33223	0.889	2.67585
β = 0.75	30	0.32316	0.911	2.81903	0.30873	0.910	2.94755	0.30864	0.911	2.95165
	50	0.30891	0.926	2.99763	0.28573	0.926	3.24082	0.28568	0.927	3.24488
= 0.14535	10	0.12332	0.842	6.82776	0.10659	0.841	7.89004	0.10652	0.841	7.89523
α = 2.50	20	0.10897	0.891	8.17656	0.09230	0.890	9.64247	0.09223	0.891	9.66063
β = 0.75	30	0.08974	0.912	10.16269	0.07461	0.911	12.21015	0.07452	0.912	12.23832
	50	0.06874	0.927	13.48559	0.05581	0.927	16.60992	0.05572	0.926	16.61880
= 1.00322	10	0.66274	0.838	1.26445	0.64568	0.837	1.29631	0.64562	0.837	1.29642
α = 7.50	20	0.61472	0.890	1.44781	0.58994	0.888	1.50523	0.58988	0.889	1.50708
β = 0.25	30	0.56332	0.912	1.61897	0.54297	0.911	1.67780	0.54291	0.911	1.68078
	50	0.52221	0.926	1.77323	0.50442	0.925	1.83378	0.50437	0.926	1.83595
= 0.27863	10	0.21782	0.841	3.86098	0.19436	0.840	4.32187	0.19433	0.841	4.32769
α = 7.50	20	0.17894	0.892	4.98491	0.15447	0.891	5.76811	0.15442	0.891	5.76997
β = 0.25	30	0.14337	0.911	6.35418	0.12668	0.910	7.18345	0.12664	0.910	7.18572
	50	0.11645	0.926	7.95191	0.08896	0.925	10.39793	0.08895	0.926	10.41034