This paper aims to collect a set of properties of bilateral phase type (BPH) distributions
that helps their practical use. Similar to the relation of the phase type (PH) and
the acyclic phase type (APH) distributions, it turns out that restricting the underlying
Markov chain to be acyclic results in a more tractable class of distributions, the
acyclic bilateral phase type (ABPH) distributions. Here we present a canonical representation,
moment bounds and moment matching methods for ABPH distributions. Copyright 2007 ICST.