classification of probability distributions

#1
Hi,
I wonder if there is a classification of probability distributions or so called 'controlled vocabulary' or 'ontology'?
So far I could find following classification patterns
1. Parametric
a. continuous with a probability density function
b. discrete with a probability mass function

2. Non-parametric
a. empirical distribution
b. histogram distribution
c. smooth-kernel distribution

I am sure there is more out there, so any comments would be highly appreciated,
Maciek