Table 6.
Means of point estimates and actual coverage of interval estimates for the parameters of model (Equation (20)), where the initial value ξ is zero and the parameters are θ1=0.4577×10−5 and θ2=0.2797×10−3. The results are based on 500 simulation runs. There are 21 observations given on a uniform grid on [0,40], and the errors are normal with zero expectation and σ2=0.25. The one‐step point estimates are given by Equation 6, while the interval estimates are defined in Equation 15
One‐step | NLS | |||||
---|---|---|---|---|---|---|
Setup | Mean | Coverage | Mean | Coverage | ||
n = 21 | ξ1 | 0 | 1.491e‐02 | 0.938 | 7.960e‐03 | 0.942 |
θ1 | 4.577e‐06 | 4.576e‐06 | 0.954 | 4.577e‐06 | 0.952 | |
θ2 | 2.797e‐04 | 2.788e‐04 | 0.932 | 2.798e‐04 | 0.930 |
Note: NLS, non‐linear least squares.