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Instant-use add-on functions for the Wolfram Language

Function Repository Resource:

 ARGUSDistribution

Source Notebook

Use a continuous probability distribution common in statistics, particularly in the field of particle physics

Contributed by: Arnoud Buzing

ResourceFunction["ARGUSDistribution"][χ]

returns a continuous probability distribution with shape parameter χ.

ResourceFunction["ARGUSDistribution"][χ,c]

returns a continuous probability distribution with shape parameters χ and c.

Details

The ARGUS distribution is primarily used in statistical analysis in particle physics.
The distribution is defined over the interval [0, 1].
The parameters χ and c influence the shape of the distribution.

Examples

Basic Examples (5) 

The ARGUS distribution with a shape parameter of χ:

In[1]:=
ResourceFunction["ARGUSDistribution"][\[Chi]]
Out[1]=

Compute the PDF symbolically:

In[2]:=
pdf = PDF[ResourceFunction["ARGUSDistribution"][\[Chi]], x] /. \[Chi] -> 1
Out[2]=

Plot the PDF of this distribution:

In[3]:=
Plot[pdf, {x, 0, 1}]
Out[3]=

Compute the CDF symbolically:

In[4]:=
cdf = CDF[ResourceFunction["ARGUSDistribution"][\[Chi]], x] /. \[Chi] -> 1
Out[4]=

Plot the CDF of this distribution:

In[5]:=
Plot[cdf, {x, 0, 1}]
Out[5]=

Scope (1) 

Sample from the distribution with RandomVariate:

In[6]:=
Histogram[ RandomVariate[ResourceFunction["ARGUSDistribution"][1], 10000]]
Out[6]=

Publisher

Arnoud Buzing

Requirements

Wolfram Language 14.0 (January 2024) or above

Version History

  • 1.0.0 – 19 December 2024

Related Resources

License Information