Dear Nasser,
Thanks for your comment. The a and b are unknowns and my final goal is to find the best fit of a and b. I don't know what supposed to be the expected best estimation values of a and b, but I can know whether the obtained a and b are good or not by doing validation.
For my study, those a and b are runoff parameters to estimate/ to simulate runoff.
I know the real value of runoff from the observation data (observed runoff). So if I have a pair of a and b, I can simulate the runoff and then overplotted the simulated runoff with the observed runoff. The smallest discrepancy (error) between the simulated runoff and observed runoff is the best.
So my plan is to obtain all of the possible estimation values of a and b by doing combination method or any kind of methods.
After obtaining so many pairs of a and b, I am not considering to simulate runoff and to validate it one by one by using each pair of a and b.
Thus the next step is I need to think of another method to get a single value of a and b. For example, if I have 100 pairs of a and b, then I can plot a and b separately using those 100 values. Maybe I can plot the Gaussian distribution then I can obtain the mean value of a and b. But I am not sure. I dont know how the plotting result will look like.
I am still thinking what to do next after obtaining many pairs of a and b in order to get the best single values of a and b.
So I am looking forward to hear further comments from you. Thanks for your attention.
Best Regards,
Intan