Smix

Scalar, positive integer threshold

Scalar, shape parameter for values below or equal to u

Scalar, shape parameter of integer generalised Pareto distribution (IGPD), for values above u

Scalar, scale parameter of IGPD, for values above u

Boolean. If 'TRUE', the geometric distribution is used for the values below u. If 'FALSE', the discrete power law is used.

Scalar, exceedance probability of u, between 0.0 and 1.0 exclusive

Boolean (default 'FALSE'), whether the survival function should be returned on the log scale.

<code>Smix</code> returns the survival function at x for the discrete extreme value mixture distribution.

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 <arXiv:2008.03073>, of which functions are provided.

Clement Lee

crandep

Network Analysis of Dependencies of CRAN Packages

Smix function

<dl><dt>x</dt>
<dd>Vector of positive integers</dd>
<dt>u</dt>
<dd>Scalar, positive integer threshold</dd>
<dt>xi1</dt>
<dd>Scalar, shape parameter for values below or equal to u</dd>
<dt>xi2</dt>
<dd>Scalar, shape parameter of integer generalised Pareto distribution (IGPD), for values above u</dd>
<dt>sig</dt>
<dd>Scalar, scale parameter of IGPD, for values above u</dd>
<dt>geo</dt>
<dd>Boolean. If 'TRUE', the geometric distribution is used for the values below u. If 'FALSE', the discrete power law is used.</dd>
<dt>phi</dt>
<dd>Scalar, exceedance probability of u, between 0.0 and 1.0 exclusive</dd>
<dt>log</dt>
<dd>Boolean (default 'FALSE'), whether the survival function should be returned on the log scale.</dd></dl>

Arguments

Survival function of discrete extreme value mixture distribution — Smix

<dl>

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


<dt>u</dt>
<dd>Scalar, positive integer threshold</dd>


<dt>xi1</dt>
<dd>Scalar, shape parameter for values below or equal to u</dd>


<dt>xi2</dt>
<dd>Scalar, shape parameter of integer generalised Pareto distribution (IGPD), for values above u</dd>


<dt>sig</dt>
<dd>Scalar, scale parameter of IGPD, for values above u</dd>


<dt>geo</dt>
<dd>Boolean. If 'TRUE', the geometric distribution is used for the values below u. If 'FALSE', the discrete power law is used.</dd>


<dt>phi</dt>
<dd>Scalar, exceedance probability of u, between 0.0 and 1.0 exclusive</dd>


<dt>log</dt>
<dd>Boolean (default 'FALSE'), whether the survival function should be returned on the log scale.</dd>

</dl>

Smix: Survival function of discrete extreme value mixture distribution

Description

Usage

Value

Arguments

See Also

Examples