Statistical Analysis of a Weibull Extension with Bathtub-Shaped Failure Rate Function

Table 5

Width comparison of interval estimations for 1000 simulations.

		Wu’s exact	MOM pivot	MIM pivot
		(coverage probability)	(coverage probability)	(coverage probability)
10	8	2.2189 (0.956)	2.4262 (0.962)	1.6850 (0.951)
	9	1.8699 (0.953)	2.0865 (0.960)	1.4650 (0.954)
	10	1.5398 (0.954)	1.8407 (0.957)	1.2372 (0.952)
15	12	1.5989 (0.946)	1.6231 (0.958)	1.2542 (0.956)
	13	1.5036 (0.946)	1.5421 (0.946)	1.1714 (0.955)
	14	1.3415 (0.956)	1.3138 (0.949)	1.0601 (0.953)
	15	1.1966 (0.956)	1.2606 (0.951)	0.9537 (0.949)
20	16	1.3577 (0.956)	1.2771 (0.952)	1.0681 (0.950)
	17	1.2709 (0.951)	1.2150 (0.961)	1.0018 (0.963)
	18	1.1948 (0.956)	1.1268 (0.953)	0.9360 (0.955)
	19	1.1022 (0.950)	1.0185 (0.943)	0.8821 (0.960)
	20	1.0075 (0.950)	1.0016 (0.947)	0.8100 (0.950)
25	20	1.1918 (0.942)	1.0922 (0.943)	0.9306 (0.948)
	21	1.1425 (0.946)	1.0411 (0.959)	0.8896 (0.950)
	22	1.0779 (0.949)	0.9787 (0.954)	0.8455 (0.953)
	23	1.0166 (0.945)	0.9380 (0.954)	0.8025 (0.955)
	24	0.9526 (0.946)	0.8832 (0.948)	0.7578 (0.960)
	25	0.8863 (0.951)	0.8644 (0.943)	0.7149 (0.953)
30	24	1.0806 (0.950)	0.9752 (0.954)	0.8420 (0.949)
	25	1.0350 (0.946)	0.9187 (0.945)	0.8086 (0.956)
	26	0.9881 (0.951)	0.8959 (0.951)	0.7785 (0.956)
	27	0.9465 (0.955)	0.8407 (0.955)	0.7454 (0.961)
	28	0.9022 (0.956)	0.8212 (0.945)	0.7150 (0.951)
	29	0.8543 (0.943)	0.7807 (0.941)	0.6792 (0.954)
	30	0.8039 (0.955)	0.7714 (0.947)	0.6438 (0.948)