Table 2.

The average MISE and AVSE results of the four different estimation methods over 100 repetitions for the Lotka-Volterra model.

	MISE Results
	ℱa	${ℱ}_a^c$	ℱb	${ℱ}_b^c$	ℱc	${ℱ}_c^c$	ℱd	${ℱ}_d^c$	H	L
BIC	0.0003	0.0004	0.0001	0.0001	0.0003	0.0004	0.0003	0.0003	0.0686	0.2256
AIC	0.0003	0.0005	0.0003	0.0003	0.0004	0.0005	0.0005	0.0006	0.0753	0.3286
GCV	0.0004	0.0004	0.0004	0.0004	0.0005	0.0005	0.0005	0.0006	0.0769	0.3379
Method II	2.0791	0.0243	0.2595	0.0111	0.1354	0.0021	0.0091	0.0014	0.7312	2.4234
Method III	15.092	6.2885	0.6572	0.3224	1.6878	0.8086	0.1592	0.1568	67.461	319.75
Method IV	0.0020	0.0172	0.0005	0.0105	0.0010	0.0018	0.0004	0.0049	1.1003	4.1468
	AVSE Results
	ℱa	${ℱ}_a^c$	ℱb	${ℱ}_b^c$	ℱc	${ℱ}_c^c$	ℱd	${ℱ}_d^c$	H	L
BIC	0.0012	0.0032	0.0013	0.0032	0.0012	0.0035	0.0013	0.0037	0.0095	0.0239
AIC	0.0013	0.0033	0.0013	0.0033	0.0012	0.0035	0.0013	0.0039	0.0096	0.0243
GCV	0.0012	0.0032	0.0015	0.0032	0.0013	0.0038	0.0014	0.0036	0.0098	0.0241
Method II	0.3178	0.0563	0.0974	0.0424	0.0496	0.0137	0.0139	0.0113	0.1648	0.2645
Method III	0.9365	0.9365	0.2106	0.2106	0.3479	0.3479	0.1043	0.1043	0.9214	1.6795
Method IV	0.0124	0.0440	0.0063	0.0309	0.0085	0.0162	0.0056	0.0200	0.1963	0.3553