On Thu, Aug 24, 2017 at 12:57 PM, <josef.p...@gmail.com> wrote: > > > On Thu, Aug 24, 2017 at 10:56 AM, Renato Fabbri <renato.fab...@gmail.com> > wrote: > >> On Thu, Aug 24, 2017 at 11:47 AM, Nathan Goldbaum <nathan12...@gmail.com> >> wrote: >> >>> The latest version of numpy is 1.13. >>> >>> In this case, as described in the docs, a power function distribution is >>> one with a probability desnity function of the form ax^(a-1) for x between >>> 0 and 1. >>> >> >> ok, let's try ourselves to relate the terms. >> Would you agree that the "power function distribution" is a "power-law >> distribution" >> in which the domain is restricted to be [0,1]? >> > > I would phrase it weaker. The emphasis for power-law distribution is often > or commonly on the tail behavior. > > The functional form of the pdf is the same as the power-law distribution > but restricted to a finite interval [0,1] > or > The power function distribution can be considered as a truncated power-law > distribution. > > (I looked at it maybe 9 years ago, but gave up on the similarity because > the purpose is very different, at least based on what I looked at at the > time. The similarity in name also got me confused initially.) >
Based on what I start to remember: The power function distribution can have increasing pdf. Because of the truncation it does not need the same parameter restriction as the power law distribution in order to integrate to a finite value so it can be normalized to a proper distribution. Josef > > Josef > > > > > >> >> >> >> >>> >>> On Thu, Aug 24, 2017 at 9:41 AM, Renato Fabbri <renato.fab...@gmail.com> >>> wrote: >>> >>>> Thanks for the reply. >>>> >>>> But the question remains: >>>> how are the terms "power function distribution" >>>> and "power-law distribution" related? >>>> >>>> The documentation link you sent have no information on this. >>>> ( >>>> And seems the same as I get here >>>> In [6]: n.version.full_version >>>> Out[6]: '1.11.0' >>>> ) >>>> >>>> On Thu, Aug 24, 2017 at 11:07 AM, Pauli Virtanen <p...@iki.fi> wrote: >>>> >>>>> to, 2017-08-24 kello 10:53 -0300, Renato Fabbri kirjoitti: >>>>> > numpy.random.power.__doc__ >>>>> > >>>>> > uses only the term "power function distribution". >>>>> >>>>> The documentation in the most recent Numpy version seems to be more >>>>> explicit, see the Notes section for the PDF: >>>>> >>>>> https://docs.scipy.org/doc/numpy/reference/generated/numpy.r >>>>> andom.power >>>>> .html >>>>> <https://docs.scipy.org/doc/numpy/reference/generated/numpy.random.power.html> >>>>> >>>>> > BTW. how is this list related to numpy-discuss...@scipy.org? >>>>> >>>>> That's the old address of this list. >>>>> The current address is numpy-discussion@python.org and it should be >>>>> used instead. >>>>> >>>>> -- >>>>> Pauli Virtanen >>>>> _______________________________________________ >>>>> NumPy-Discussion mailing list >>>>> NumPy-Discussion@python.org >>>>> https://mail.python.org/mailman/listinfo/numpy-discussion >>>>> >>>> >>>> >>>> >>>> -- >>>> Renato Fabbri >>>> GNU/Linux User #479299 >>>> labmacambira.sourceforge.net >>>> >>>> _______________________________________________ >>>> NumPy-Discussion mailing list >>>> NumPy-Discussion@python.org >>>> https://mail.python.org/mailman/listinfo/numpy-discussion >>>> >>>> >>> >>> _______________________________________________ >>> NumPy-Discussion mailing list >>> NumPy-Discussion@python.org >>> https://mail.python.org/mailman/listinfo/numpy-discussion >>> >>> >> >> >> -- >> Renato Fabbri >> GNU/Linux User #479299 >> labmacambira.sourceforge.net >> >> _______________________________________________ >> NumPy-Discussion mailing list >> NumPy-Discussion@python.org >> https://mail.python.org/mailman/listinfo/numpy-discussion >> >> >
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