Cutom Curve Fit for mixed plot

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Hi, I am trying to fit a custom equation to my data. Using cuve fitting tool box the closest was exp1 fit but it is still not a good fit. I tried the other available fits as well and it did not turned out good. As you see from the attached file at the beginning it is a linear , in the middle it is like exp and at the end it is different than linear and exp fit.
What are your recommendation as an equation to fit that curve.
Thank you
  3 个评论
Star Strider
Star Strider 2022-1-18
What process created those data?
To fit the data, create a methematical model of the process that created them, then fit the parameters of the model.
Sam Chak
Sam Chak 2022-1-18
Looks like it is plotted on a logarithmic scale. Since the exponential decay model does not fit, and you don't know the process (can be static or dynamic) that creates the data, then you can try the following:
The above suggestions may not solve your problem, but they are based on my experience with certain functions that display the asymptotic convergence behavior.

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回答(1 个)

Abhiroop Rastogi
Abhiroop Rastogi 2022-2-23
Hi Birsen,
The data shown in the figure looks like it is representing a Weibull Distribution. You can try the inbuilt fittype "weibull" for fitting the curve using the command:
fitCurve = fit(xData,yData,'weibull');
Another fit-type that can be used for the data is "cubicspline" which does a piecewise computation for fitting the curve.
You can use the following command for cubicspline fitting.
fitCurve = fit(xData,yData,'cubicspline');
You can see the resulted plots in the figures attached.

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