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fitnlm problem- the SE is very small

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W_Elsa
W_Elsa 2019-1-25
Hello all, I am using 'fitnlm' to fit a non-linear model, however, the SE in mdl.Coeffficients is very small, in the order of e-16~e-30.
E{7Q`2A20)@LD1R`_4B18_U.png
The model for sure cannot fit perfectly to the data, if I feed the data into the curve fitting toolbox using the same initial value, I can get reasonable boundary for the model coefficients.
General model:
f(x) = 1-a*x^b-c*x^d
Coefficients (with 95% confidence bounds):
a = 0.002713 (0.001471, 0.003956)
b = 0.6173 (0.5348, 0.6998)
c = 9.554e-20 (-6.96e-19, 8.871e-19)
d = 6.375 (5.121, 7.629)
Their goodness of fittting are both good.
Did anyone meet similar problems? Thank you.

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