2-EPT Probability Density Functions are defined as the class of Probability Density Functions with strictly proper rational Characteristic Functions. 2-EPT densities can be represented by the triple (A, b, c) called the realization of the density.  Much of the literature assumes the use of minimal realizations.  Unlike phase-type distributions or matrix analytic functions the 2-EPT density functions are defined on the whole real line. It can be seen that the class of 2-EPT densities is closed under many operations. 2-EPT distributions form a flexible class of density functions which can be generalised to include a pointmass at zero. Under a certain parameter restriction the Variance Gamma density is shown to be 2-EPT. Examples in the literature demonstrate the benefits of adopting a 2-EPT approach for financial modelling purposes.

This website is designed to serve as a source for literature and computational software related to EPT functions.

Please contact the site administrator Conor Sexton at hcsexton@2-ept.com with any queries or suggestions.