[SciPy-user] nonlinear fit with non uniform error?
massimo sandal
massimo.sandal at unibo.it
Thu Jun 21 06:31:55 EDT 2007
Matthieu Brucher ha scritto:
> In which sense not Gaussian? In the sense that for each point, the
> uncertainity is not Gaussian distributed? It should at least with good
> approximation be. If it is in another sense, please explain...
>
>
> If the error is not Gaussian (normally distributed, ...), least squares
> is not the "most likely" optimization (maximizing likelyhood on gaussian
> data is the same as least squares), you should use more robust cost
> functions.
I guess you refer to the distribution of the error for *each single
point*, not the distribution of the average error in the dataset for
different points. In this case yes, it is Gaussian, so there should be
no problem.
My question was different, anyway: each point can have a different error
size (i.e. sigma of gaussian distribution) respect to its neighbours.
m.
--
Massimo Sandal
University of Bologna
Department of Biochemistry "G.Moruzzi"
snail mail:
Via Irnerio 48, 40126 Bologna, Italy
email:
massimo.sandal at unibo.it
tel: +39-051-2094388
fax: +39-051-2094387
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