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Selwyn
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Fitting of parameters of function with discrete / integer argument

Asked by Selwyn
on 26 Jun 2015
Latest activity Answered by Adam Hug on 30 Jun 2015
Could somebody help me find the proper way to find the parameters for a function with integer arguments? I've conducted a series of measurement:
p_1 , p_2 , p_3 , (p_1+p_2)/2 , (p_2+p_3)/2 , (p_1+p_3)/2, (p_1+p_2+p_3)/3 , ....
(and so on, up to 10 parameters). Each measurement has its own measurement error and I would like to find the proper way to find parameters p_1 , p_2 , p_3, with standard deviation...
Thanks in advance!

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1 Answer

Answer by Adam Hug on 30 Jun 2015

Based on your question, I am assuming that you are trying to fit a discrete curve. This is a hard problem in general but you can obtain a reasonable solution by using the "lsqnonlin" function in the Optimization Toolbox. More information can be found here:
In the context of least squares, residual is a more sensible metric than standard deviation. You could calculate the R^2 metric for the fit using the residual returned from "lsqnonlin".

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