Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

Figure 6.

Figure 7.

Figure 8.

Log-likelihood and AIC values for different models
| Model | ln(L(θ)) | AIC |
|---|---|---|
| M1 | -286.1956 | 576.3911 |
| M2 | -201.5358 | 411.0715 |
MCMC sampling results for model M1 parameters
| Parameter | Mean | Standard Deviation | MC Error | 95% credible interval |
|---|---|---|---|---|
| μ | 2.574E-6 | 4.022E-7 | 1.142E-9 | (1.782E-6,3.376E-6) |
| σ | 5.725E-4 | 4.868E-5 | 1.516E-7 | (4.87E-4,6.776E-4) |
MCMC sampling results for model M2 parameters
| Parameter | Mean | Standard Deviation | MC Error | 95% credible interval |
|---|---|---|---|---|
| μμ1 | 6.79E-4 | 5.059E-5 | 2.316E-7 | (5.815E-4,7.817E-4) |
| σβ1 | 4.455E-5 | 6.103E-6 | 3.656E-8 | (2.793E-5,4.987E-5) |
| σ1 | 8.551E-4 | 3.427E-5 | 1.356E-7 | (7.732E-4,8.983E-4) |
| a1 | 0.7467 | 0.003256 | 1.766E-5 | (0.738,0.7499) |