Weighted Moments Estimators of the Parameters for the Extreme Value Distribution Based on the Multiply Type II Censored Sample

Table 2

MSEs of BLUE and WMEs of the scale parameter 𝜎 at 𝑁=25, 𝜎=1.0, and 𝜃=1.

Censoring scheme type II	𝑟	𝑘	𝑙	𝑠	The simulated MSEs of BLUE and exact MSEs of WMEs
					BLUE	WME1	WME2	WME3	WME4	WME/BLUE
Multiply	2	5	2	2	0.033049	0.033973	0.032609	0.032605*	0.033950	0.986562
	3	5	2	1	0.034131	0.034709	0.034021*	0.034042	0.034667	0.996789
	3	5	1	2	0.036422	0.037066	0.035446*	0.035476	0.036991	0.973205
	2	5	3	1	0.038106	0.031840	0.031332	0.031300*	0.031862	0.821384
	2	5	1	3	0.034793	0.036526	0.034272	0.034250*	0.036474	0.984403
	1	5	3	2	0.030754	0.031121	0.030042	0.029959*	0.031178	0.974163
	1	5	2	3	0.031932	0.033203	0.031209	0.031211*	0.033194	0.977406
	4	5	1	1	0.041570	0.037365	0.036608	0.036605*	0.037358	0.880563
	1	3	7	1	0.030205	0.029124	0.028682*	0.028727	0.029052	0.949578
	1	5	1	4	0.033436	0.035586	0.032923	0.032814*	0.035537	0.981404
Middle	0	3	6	0	0.026008	0.025694*	0.025757	0.025694*	0.025757	0.987927
					BLUE	WME5	WME6	WME7	WME8	WME/BLUE
Right	0	0	0	8	0.038026	0.058844	0.046303	0.058844	0.037562*	0.987798
Left	8	3	0	0	0.060523	0.048114*	0.048114*	0.069671	0.069671	0.794971
Doubly	7	3	0	2	0.056175	0.053227	0.049471*	0.09685	0.064317	0.880659

∗The smallest MSE among the proposed WMEs and BLUE.