How to code the equation to fit a Super-Poissonian Distribution in MatLab and/or OriginLab

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First I have to say that I am not that code-savvy. With that out of the way, I have these data sets that look Gaussian, but they're not. With some literature review, other people have found that they fit a super-Poissonian distribution. So, I have been trying to code in Matlab and OriginLab an equation to describe a super-Poissonian distribution. I have found that the are two ways, but the easiest one seems to be to multiply a factor of alpha to the distribution and the resulting random variable. You can see a very quick and nice description here: https://math.stackexchange.com/questions/1245024/is-there-a-analytical-formula-for-super-and-sub-poissonian-distributions

The result from all this is that none of the programs are able to fit, it says the fit doesn't converge. Any help will be greatly appreciated.

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