What methods could be used to fit to this case?
Sun, 04/14/2013 - 08:28 am
How should I set up the fitting for this problem?
My first approach will be to fit each curve separately in order to get first-guess parameters for K, A, and ro. I would very much like to take advantage of the statistical improvements in K and A that would come from doing a combined fit on the N sets for these two parameters only, in the meantime allowing ro to vary.
I had an idea to concatenate the N data sets and create one general purpose fitting equation. The form of the fitting equation would end with N + 2 parameters (K, A, and ro[1 .. N]). I suspect this should work, though I hesitate to think about inconsistencies at boundaries or the enormity of the fitting equation as N gets large. Right now, N ~ 10.
Does a different and more elegant method exist to tackle such a problem?