---
myst:
    substitutions:
        bloc:
            stocha:
                python: 6-12
                cpp: 5-11
            trunc:
                python: "14"
                cpp: "13"
---
```{include} /../core/dataserver/attribute/introducing_tstochastic_attribute/weibull_equation.md
```

Both $\lambda$ and $k$ should be greater than 0.0001.

{{ uranie }} code to simulate a Weibull random variable is:

{{
    "```{literalinclude} " + parent_dir 
    + "/roottest/uranie/doc/dataserver/attribute/" + language + "/weibull." + extension + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + bloc["stocha"][language] + "\n"
    + "```"
}}

```{include} /../core/dataserver/attribute/introducing_tstochastic_attribute/weibull_figure.md
```

Is it also possible to set boundaries to the infinite span of this distribution to create a 
truncated Weibull law. This can be done by calling the following method:

{{
    "```{literalinclude} " + parent_dir 
    + "/roottest/uranie/doc/dataserver/attribute/" + language + "/weibull." + extension + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + bloc["trunc"][language] + "\n"
    + "```"
}}

The resulting PDF, CDF and inverse CDF, with and without truncation, can be seen, in this case, in 
{numref}`dataserver_tweibull_trunc_distribution` for a given set of parameters and 
various boundaries.

{{
    "```{" "figure" "} " + parent_dir +
        "/roottest/build/uranie/doc/dataserver/attribute/python/TWeibullTruncatedDistribution.png\n"
    ":align: center\n"
    ":name: dataserver_tweibull_trunc_distribution\n"
    + figure_scale + "\n"
    "\n"
    "Example of PDF, CDF and inverse CDF for a Weibull truncated distribution.\n"
    "```"
}}