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

Table 4

MSEs of BLUE and WMEs of the location parameter 𝜃 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	0.047455	0.043392*	0.047048	0.046523	0.045351	0.914382
	3	5	2	1	0.047910	0.046756*	0.049381	0.047447	0.048703	0.975913
	3	5	1	2	0.048516	0.046415*	0.048644	0.047332	0.047459	0.956695
	2	5	3	1	0.048501	0.043917*	0.047599	0.046681	0.046598	0.905486
	2	5	1	3	0.046475	0.043009*	0.046365	0.046338	0.044072	0.925422
	1	5	3	2	0.046091	0.040401*	0.045429	0.046284	0.043109	0.876549
	1	5	2	3	0.045630	0.039876*	0.045084	0.045986	0.041846	0.873899
	4	5	1	1	0.051705	0.050038	0.051508	0.048829*	0.051088	0.944386
	1	3	7	1	0.047423	0.041238*	0.047731	0.050815	0.045522	0.861855
	1	5	1	4	0.045836	0.039504*	0.044303	0.045540	0.040560	0.861855
Middle	0	3	6	0	0.043759	0.039707*	0.043286	0.052436	0.043286	0.907402
					BLUE	WME5	WME6	WME7	WME8	WME/BLUE
Right	0	0	0	8	0.047960*	0.048812	0.049585	0.048812	0.04907	1.017765
Left	8	3	0	0	0.078955	0.066628*	0.066628*	0.076515	0.076515	0.843873
Doubly	7	3	0	2	0.062959	0.060392*	0.061361	0.068265	0.064084	0.959227

∗The smallest MSE among the proposed WMEs and BLUE.