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I know that a lot of work has been done characterizing the first four moments of monthly hedge fund returns across a variety of fund types and strategies, and that work indicates that the higher moments are likely important.

I am wondering if there are papers that tries to fit the distribution of a hedge fund monthly return to probability distributions such as normal, t, etc..

I am performing statistical analysis on hedge funds returns and therefore fitting them to a distribution would be really helpful.

Thank you very much!

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