Table 1.

Mean, Median, and Standard Deviation (SD) of the square root of the average squared errors (RASEs) defined in (22) for the estimated varying coefficients θ̂_D(w), θ̂_S(w) and θ̂_A(w) in 1000 simulation replicates by using the proposed parameter cascading method (PC) and the two-stage method (TS). Here a is the standard deviation of ε in (2), θ_D(·) is the diffusion rate, θ_S(·) is the drift rate, θ_A(·) is the reaction rate.

		σ = 0.05		σ = 0.02
		PC	TS	PC	TS
RMSE of θ̂D(w)	Mean ×102	1.54	22.76	1.29	15.85
	Median ×102	1.53	22.55	1.28	15.88
	SD ×103	3.53	40.22	1.58	21.29
RMSE of θ̂S(w)	Mean ×103	1.86	14.94	1.09	10.03
	Median ×103	1.85	14.50	1.10	9.90
	SD ×104	6.08	43.58	2.78	21.09
RMSE of θ̂A(w)	Mean ×103	1.88	3.46	1.87	2.22
	Median ×103	1.88	3.38	1.87	2.19
	SD ×104	0.30	7.19	0.11	1.85