[R] density vs. mass for discrete probability functions

[Stefan Schreiber]

Thank you Peter and Spencer. That clears things up. Also since no one
responded the second part of my question, I'm still wondering if it was
noted that there is a hyperlink in the dbinom help file (?dbinom) that
isn't directing correctly?

Stefan

On Fri, Mar 15, 2019, 07:37 peter dalgaard, <pdalgd using gmail.com> wrote:

> Mathematically, you can bring discrete and continuous distributions on a
> common footing by defining probability functions as densities wrt. counting
> measure. You don't really need Radon-Nikodym derivatives to understand the
> idea, just the fact that sums can be interpreted as integrals wrt counting
> measure, hence sum_{x in A} f(x) and int_A f(x) dx are essentially the same
> concept.
>
> -pd
>
> > On 15 Mar 2019, at 01:43 , Stefan Schreiber <sschreib using ualberta.ca>
> wrote:
> >
> > Dear R users,
> >
> > While experimenting with the dbinom() function and reading its
> > documentation (?dbinom) it reads that "dbinom gives the density" but
> > shouldn't it be called "mass" instead of "density"? I assume that it
> > has something to do with keeping the function for "density" consistent
> > across discrete and continuous probability functions - but I am not
> > sure and was hoping someone could clarify?
> >
> > Furthermore the help file for dbinom() function references a link
> > (http://www.herine.net/stat/software/dbinom.html) but it doesn't seem
> > to land where it should. Maybe this could be updated?
> >
> > Thank you,
> > Stefan
> >
> > ______________________________________________
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>
> --
> Peter Dalgaard, Professor,
> Center for Statistics, Copenhagen Business School
> Solbjerg Plads 3, 2000 Frederiksberg, Denmark
> Phone: (+45)38153501
> Office: A 4.23
> Email: pd.mes using cbs.dk  Priv: PDalgd using gmail.com
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