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I have a few data points (12) that look like a pareto distribution. When I try to find the MLE parameters in R, (using How do I fit a set of data to a Pareto distribution in R?), the parameter $\alpha$ comes out as 0.008 or so. Then, to verify that those parameters are correct, I want to generate a few pareto distributions with these parameters, but when I type: 

rpareto(x,xm,alpha)

I get an error saying s must be >1

The package for rpareto is rmutil

Is there a different way to estimate $\alpha$ with a small sample? or to generate data with a small $\alpha$?

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  • $\begingroup$ maybe $rpareto()$ use a different parameterization than is used for the MLE-estimation. Pls. state from which package the function is otherwise it is difficult to answer. $\endgroup$
    – Jesper for President
    Commented Nov 25, 2019 at 16:38
  • $\begingroup$ From rmutil. I edited my question to reflect this. $\endgroup$
    – fiacobelli
    Commented Nov 25, 2019 at 17:26

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