zipf

A very short function that reproduces Zipf's law: a harmonic rank-probability
distribution, formally
$$p(i)=\frac{i^{-1}}{\sum_{i=1}^{N} i^{-1}},\qquad i=1,\ldots,N$$
The volleyball dataset might reasonably be assumed to be zipf, but one
can reject this hypothesis at $5\%$, see the examples.

A suite of routines for the hyperdirichlet distribution
and reified Bradley-Terry; supersedes the 'hyperdirichlet' package;
uses 'disordR' discipline <doi:10.48550/ARXIV.2210.03856>. To cite
in publications please use Hankin 2017 <doi:10.32614/rj-2017-061>,
and for Generalized Plackett-Luce likelihoods use Hankin 2024
<doi:10.18637/jss.v109.i08>.

Robin K S Hankin

hyper2

The Hyperdirichlet Distribution, Mark 2

zipf function

<dl>
<dt>n</dt>
<dd>Integer; if a hyper2 object is supplied this is
 interpreted as <code>size(n)</code></dd>
</dl>

Arguments

Author

A very short function that reproduces Zipf's law: a harmonic rank-probability
distribution, formally
$$p(i)=\frac{i^{-1}}{\sum_{i=1}^{N} i^{-1}},\qquad i=1,\ldots,N$$
The volleyball dataset might reasonably be assumed to be zipf, but one
can reject this hypothesis at $5\%$, see the examples.

zipf: Zipf's law

Description

Usage

Value

Arguments

Author

See Also

Examples