Before lauching the Metroposlis-Hasting Algorithm, we should make sure that we already found a mode of posterior. Furthermore, the Hesseian matrix should be possitive.
In my model, I use mode_compute = 9 to find the mode of log posterior distribution. After finding the mode, dynare reports the positive Hessian matrix, then the MH algorithm is lauched.
However, I have a look at the mode_plot check, I found a strange thing as following:
Allmost figures (the attached file below) reache the mode of log posterior density, except figure4. In particular, the plot check for parameter (rpie) in figure4, it seems that rpie does not reach the mode of posterior density.However, Dynare still reports that Hessian matrix is positive, then It lauches the MH algorithm after that.
Could anyone can explain this stituation for me?
List of mode check plot figure5.pdf (7.2 KB)
figure4.pdf (10.5 KB)
figure3.pdf (7.7 KB)
Figure1.pdf (7.5 KB)
Figure2.pdf (7.7 KB)