[R] Multi-dimensional non-linear fitting - advice on best method?

From: Julian Gilbey <julian_at_d-and-j.net>
Date: Sun, 24 Apr 2011 01:38:13 +0100


Hello!

I have a set of data of the form (x, y1, y2) where x is the independent variable and (y1, y2) is the response pair. The model is some messy non-linear function:

  (y1, y2) = f(x; param1, param2, ..., paramk) + (y1error, y2error)

where the parameters param1, ..., paramk are to be estimated, and I'll assume the errors to be normal for sake of simplicity.

If there were only one response per input, I would use the nls() function, but what can I do in this case?

Many thanks,

   Julian



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