dpol

<code>dpol</code> returns the PMF at x for the Zipf-polylog distribution with parameters (alpha, theta). The distribution is reduced to the discrete power law when theta = 1.

The dependencies of CRAN packages can be analysed in a network fashion. For each package we can obtain the packages that it depends, imports, suggests, etc. By iterating this procedure over a number of packages, we can build, visualise, and analyse the dependency network, enabling us to have a bird's-eye view of the CRAN ecosystem. One aspect of interest is the number of reverse dependencies of the packages, or equivalently the in-degree distribution of the dependency network. This can be fitted by the power law and/or an extreme value mixture distribution <doi:10.1111/stan.12355>, of which functions are provided.

Clement Lee

crandep

Network Analysis of Dependencies of CRAN Packages

dpol function

<dl><dt>x</dt>
<dd>Vector of positive integers</dd>
<dt>alpha</dt>
<dd>Real number greater than 1</dd>
<dt>theta</dt>
<dd>Real number in (0, 1]</dd>
<dt>x_max</dt>
<dd>Scalar (default 100000), positive integer limit for computing the normalising constant</dd></dl>

Arguments

Probability mass function (PMF) of Zipf-polylog distribution — dpol

<dl>

<dt>x</dt>
<dd>Vector of positive integers</dd>


<dt>alpha</dt>
<dd>Real number greater than 1</dd>


<dt>theta</dt>
<dd>Real number in (0, 1]</dd>


<dt>x_max</dt>
<dd>Scalar (default 100000), positive integer limit for computing the normalising constant</dd>

</dl>

dpol: Probability mass function (PMF) of Zipf-polylog distribution

Description

Usage

Value

Arguments

Details

See Also

Examples