Estimation of Generalized Gompertz Distribution Parameters under Ranked-Set Sampling

Table 7

Coverage probability (CP) and half length (HL) of the confidence intervals of the parameters using normal approximation and bootstrapping methods of the MLE estimates under RSS and SRS for different sample sizes and different set sizes when , , and .

Normal		Bottstrapping		Normal		Bootstrapping		Normal		Bootstrapping
	Sampling		CP	HL	CP	HL	CP	HL	CP	HL	CP	HL	CP	HL
	SRS		0.818	2.297	0.993	2.113	0.979	3.368	0.948	4.197	0.931	0.68	0.992	1.122
	RSS	2	0.839	2.083	0.994	1.915	0.984	3.01	0.93	3.956	0.934	0.6	0.992	0.858
		5	0.833	1.642	0.989	1.448	0.983	2.524	0.908	3.094	0.928	0.443	0.98	0.545
	SRS		0.874	1.438	0.969	1.278	0.986	1.743	0.917	1.938	0.95	0.371	0.973	0.417
	RSS	2	0.885	1.314	0.968	1.154	0.982	1.622	0.905	1.813	0.946	0.337	0.969	0.366
		5	0.886	1.095	0.958	0.961	0.976	1.42	0.906	1.541	0.945	0.277	0.975	0.284
	SRS		0.92	0.856	0.971	0.775	0.97	0.902	0.93	0.914	0.957	0.21	0.96	0.21
	RSS	2	0.925	0.787	0.957	0.713	0.969	0.858	0.91	0.878	0.955	0.194	0.964	0.193
		5	0.934	0.674	0.96	0.626	0.969	0.778	0.935	0.788	0.955	0.164	0.958	0.161
	SRS		0.929	0.593	0.953	0.558	0.961	0.596	0.934	0.593	0.959	0.144	0.964	0.141
	RSS	2	0.943	0.551	0.947	0.522	0.963	0.571	0.939	0.563	0.96	0.133	0.955	0.133
		5	0.947	0.471	0.956	0.45	0.958	0.523	0.932	0.517	0.955	0.114	0.949	0.112