![inverse cdf inverse cdf](https://demonstrations.wolfram.com/TheMethodOfInverseTransforms/img/popup_1.png)
The Pareto distribution is mathematically an exponential-gamma mixture. For example, the gamma distribution is derived from the gamma function. The above table categorizes the distributions according to how they are mathematically derived.
![inverse cdf inverse cdf](https://discuss.pytorch.org/uploads/default/original/3X/2/e/2e481d69d19f215dced3306dff86c5e2209d4a92.png)
They are all potential candidates for models of severity in insurance applications and in other actuarial applications. The number of parameters in these models ranges from one to two, and in a small number of cases three.
![inverse cdf inverse cdf](https://valelab4.ucsf.edu/svn/3rdpartypublic/boost/libs/math/doc/sf_and_dist/graphs/survival_inv.png)
Various parametric continuous probability models have been presented and discussed in this blog.