dmix2

<code>dmix2</code> returns the PMF at x for the 2-component discrete extreme value mixture distribution. The components below and above the threshold u are the (truncated) Zipf-polylog(alpha,theta) and the generalised Pareto(shape, sigma) distributions, respectively.

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

dmix2 function

<dl><dt>x</dt>
<dd>Vector of positive integers</dd>
<dt>u</dt>
<dd>Positive integer representing the threshold</dd>
<dt>alpha</dt>
<dd>Real number, first parameter of the Zipf-polylog component</dd>
<dt>theta</dt>
<dd>Real number in (0, 1], second parameter of the Zipf-polylog component</dd>
<dt>shape</dt>
<dd>Real number, shape parameter of the generalised Pareto component</dd>
<dt>sigma</dt>
<dd>Real number, scale parameter of the generalised Pareto component</dd>
<dt>phiu</dt>
<dd>Real number in (0, 1), exceedance rate of the threshold u</dd></dl>

Arguments

Probability mass function (PMF) of 2-component discrete extreme value mixture distribution — dmix2

<dl>

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


<dt>u</dt>
<dd>Positive integer representing the threshold</dd>


<dt>alpha</dt>
<dd>Real number, first parameter of the Zipf-polylog component</dd>


<dt>theta</dt>
<dd>Real number in (0, 1], second parameter of the Zipf-polylog component</dd>


<dt>shape</dt>
<dd>Real number, shape parameter of the generalised Pareto component</dd>


<dt>sigma</dt>
<dd>Real number, scale parameter of the generalised Pareto component</dd>


<dt>phiu</dt>
<dd>Real number in (0, 1), exceedance rate of the threshold u</dd>

</dl>

dmix2: Probability mass function (PMF) of 2-component discrete extreme value mixture distribution

Description

Usage

Value

Arguments

See Also