I have a data set which is a set of continuous distances from some origin. I originally modeled this as a negative binomial distribution by rounding the data and using it as an input in the Matlab function, nbinfit:
nbReg = nbinfit(round(data));
Using the output from nbinfit, I created the following CDF:
Here are the corresponding QQ Plots
Is it valid to use a negative binomial distribution to model a continuous distribution? Is there any documentation in the literature where negative binomial was used to model continuous data?
It is possible to have a similarly distributed continuous distribution
(you can remove the x == round(x) condition in nbinpdf to get a continuous distribution)?
The CDF fits very well, but is there a "better" distribution you would recommend?**