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. 2018 Feb 22;72(2):126–156. doi: 10.1111/stan.12124

Table 1.

Means of point estimates and actual coverage of interval estimates for the parameters of model (Equation (16)) according to four different experimental setups. The results are based on 500 simulation runs. The observations are generated according to Yj=ξ0exp(θ0tj)+ϵj, where t j∈{0(0.5)10} (n=21), or t j∈{0(0.2)10} (n=51 ) and ϵj∼N(0,0.052),j=1…,n. The point estimates are given by Equation 6; the interval estimates are defined in Equation 15

One‐step NLS
Setup Mean Coverage Mean Coverage
n = 21 A ξ0 0.500 0.501 0.942 0.501 0.942
θ0 −1.000 −1.002 0.946 −1.002 0.946
B ξ0 0.500 0.500 0.928 0.500 0.928
θ0 1.000 1.000 0.938 1.000 0.938
C ξ0 1.000 0.999 0.932 0.999 0.932
θ0 −1.000 −0.997 0.940 −0.997 0.940
D ξ0 1.000 1.000 0.944 1.000 0.944
θ0 1.000 1.000 0.948 1.000 0.948
n = 51 A ξ0 0.500 0.500 0.944 0.500 0.944
θ0 −1.000 −0.998 0.944 −0.998 0.944
B ξ0 0.500 0.500 0.946 0.500 0.946
θ0 1.000 0.999 0.958 0.999 0.958
C ξ0 1.000 0.999 0.932 0.999 0.932
θ0 −1.000 −0.999 0.938 −1.000 0.938
D ξ0 1.000 1.000 0.948 1.000 0.948
θ0 1.000 1.001 0.952 1.001 0.952

Note: NLS, non‐linear least squares.