Table 4.

Compare the MSSREs of different models when solving the QR problem.

$ϵ(t)$	Model	MSSRE with NF	MSSRE with CN	MSSRE with PN	MSSRE with RN
${ϵ}_1(t)$	OZND	$3.90\times {10}^{-3}$	$2.64\times {10}^2$	$9.72\times {10}^1$	$3.20\times {10}^2$
	NZND	$1.65\times {10}^{-4}$	$7.65\times {10}^0$	$7.18\times {10}^0$	$7.82\times {10}^0$
	VPZND	$7.62\times {10}^{-4}$	$1.44\times {10}^{-1}$	$6.05\times {10}^{-2}$	$6.06\times {10}^{-2}$
	NTZND	$1.67\times {10}^{-2}$	$8.50\times {10}^{-1}$	$1.42\times {10}^0$	$9.51\times {10}^{-1}$
	DPZND	Divergent	Divergent	Divergent	Divergent
	DVPEZND	Divergent	Divergent	Divergent	Divergent
	AREND	$\mathbf{5.35}\times {\mathbf{10}}^{-\mathbf{6}}$	$\mathbf{5.16}\times {\mathbf{10}}^{-\mathbf{2}}$	$\mathbf{5.32}\times {\mathbf{10}}^{-\mathbf{2}}$	$\mathbf{5.32}\times {\mathbf{10}}^{-\mathbf{2}}$
${ϵ}_2(t)$	OZND	$2.2\times {10}^{-3}$	$4.00\times {10}^2$	$1.38\times {10}^2$	$4.86\times {10}^2$
	NZND	$1.36\times {10}^{-4}$	$8.56\times {10}^0$	$8.44\times {10}^0$	$8.79\times {10}^0$
	VPZND	$8.03\times {10}^{-5}$	$1.23\times {10}^{-1}$	$1.19\times {10}^{-1}$	$1.19\times {10}^{-1}$
	NTZND	$1.98\times {10}^{-2}$	$2.47\times {10}^0$	$2.54\times {10}^0$	$3.35\times {10}^0$
	DPZND	Divergent	Divergent	Divergent	Divergent
	DVPEZND	Divergent	Divergent	Divergent	Divergent
	AREND	$\mathbf{3.71}\times {\mathbf{10}}^{-\mathbf{6}}$	$\mathbf{4.96}\times {\mathbf{10}}^{-\mathbf{2}}$	$\mathbf{2.32}\times {\mathbf{10}}^{-\mathbf{2}}$	$\mathbf{2.32}\times {\mathbf{10}}^{-\mathbf{2}}$

NF, CN, PN, and RN signify the noises free, constant noises, period noises, and random noises, respectively. The bold font denotes the best result in the corresponding item