Table 3:

Single change point detection for Case 2 with Σ = Σ* under various dimensions and change point locations. The numerical results are based on 100 replications.

			dimension p
	${\tilde{\tau }}_1$	method	200	300	400
Number	0.5	SGL	1.14 ∣ 32	1.30 ∣ 41	1.52 ∣ 40
Mean∣Rate(%)		VPWBS	1.02 ∣ 98	1.04 ∣ 96	1.03 ∣ 98
		DPA	1.01 ∣ 99	1.00 ∣ 100	1.00 ∣ 100
		BSA	1.00 ∣ 100	1.00 ∣ 100	1.00 ∣ 100
	0.7	SGL	0.72 ∣ 20	1.16 ∣ 26	1.14 ∣36
		VPWBS	0.97 ∣ 97	1.01 ∣ 99	1.05 ∣ 96
		DPA	1.00 ∣ 100	1.02 ∣98	1.01 ∣ 99
		BSA	0.99 ∣ 99	1.00 ∣98	1.01 ∣ 99
Location	0.5	SGL	-	-	-
Mean∣MSE		VPWBS	0.504 ∣ 5.056	0.495 ∣ 3.146	0.498 ∣ 3.572
		DPA	0.498 ∣ 2.145	0.502 ∣ 1.423	0.499 ∣ 3.670
		BSA	0.493 ∣ 5.897	0.498 ∣ 3.347	0.498 ∣ 4.326
		FSA	0.495 ∣ 12.21	0.489 ∣ 20.10	0.492 ∣ 9.374
	0.7	SGL	-	-	-
		VPWBS	0.694 ∣ 5.959	0.694 ∣ 7.297	0.701 ∣ 6.950
		DPA	0.690 ∣ 5.748	0.690 ∣ 6.411	0.691 ∣ 12.75
		BSA	0.689 ∣ 9.419	0.694 ∣ 3.973	0.688 ∣ 11.44
		FSA	0.689 ∣ 22.41	0.683 ∣ 24.20	0.676 ∣ 27.66