Fitting Distribution to set of data

Hi everyone,

I have a vector A represented by the histrogram attached in the image. I'd like to fit a normal, Gaussian, and Poisson distribution to see which one fits best. Is there a function in MATLAB that would allow me to do that? Thank you

[Walter Roberson]

https://www.mathworks.com/help/curvefit/gaussian.html#bs41yzj-1

Answer 1

[Image Analyst]

In my opinion, you should not fit either of those two. Because your distribution is not symmetrical you will have trouble fitting a Gaussian. I've had trouble before (MATLAB threw warnings) while trying to fit a Gaussian that was basically just the side slope of a Gaussian hump like you have. Likewise a Poisson expects in most cases a peak with lower values at the origin. I think a better equation to describe your equation would be an exponential decay, and I'm attaching a variety of demos for you.

Answer 2

[Bjorn Gustavsson]

If you have the statistics toolbox you have the function fitdist, that should do the job. Just check the help and documentation to that function.

HTH