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I have some empirical data which appeared to be best fit to a log-normal, but upon making a histogram of log(x) with 50 bins I got this result which appears to have some skew:

enter image description here

What is the proper distribution to use for data whose log looks like the plot above? Some sort of "log-normal with skew"? How would I fit the data in this case?

Note: I believe this question is a similar one, but with no answer yet.

AAC
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  • (1) All log-normal distributions are right-skewed. (2) Most real-life distributions do not exactly fit any of the well-know theoretical distributions – Henry Jun 07 '19 at 07:28
  • the histogram represents log(data), I will add labels to make it more clear – AAC Jun 07 '19 at 07:33
  • What is the source of your data? Anyway, if you wanna know, if the given data is distributed according to some function, you should perform a $\chi^2$-test... – denklo Jun 07 '19 at 07:33

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