With poweRlaw library, and once computed alpha
and xmin
with estimate_xmin
, which formula the script uses to compute the fitted values?
I mean, assuming that y=C·x^(-alpha), my question is how the script computes the normalization constant from alpha
and xmin
.
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The normalising constant is fairly easy to calculate. See the Clauset et al's powerlaw paper (in particular table 2.1). For the continuous case, C = (alpha-1) xmin^(alpha-1), the discrete case involves calculating the diagamma function.
You can also examine the R code:

csgillespie
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Thank you very much for your concise answer. – Alvaro May 04 '14 at 19:25