Probability – How to Handle Distributions Bounded on Both Sides

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Common name for distributions that are bounded on one side

I am looking for common name or an exhaustive list of which distributions are bounded on both sides [0,1]. This is because my data is similar to this (cannot be less than 0 and greater than 100). I need to fit a distribution to this data. In order to do this, I need to firs find a list of distributions that are bounded on both sides and try them one by one to see which distribution closely resembles my data.

Best Answer

There's no one universal list, and there can't be an exhaustive list. However, you can find a list of some continuous densities with bounds in wiki: https://en.wikipedia.org/wiki/List_of_probability_distributions#Supported_on_a_bounded_interval

Also, remember that you can take any distribution and bound it in an interval. These are called truncated distributions, e.g. see truncated normal.

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