One quandary a Quality Engineer faces is the selection of a sampling distribution to model a particular problem. Often, this depends on characteristics of the problem. The paper, Selecting Discrete Sampling Distributions explains how to select the right distribution. The paper uses a flow chart, with some question, to lead the user to the right distribution. The paper also contains a short explanation of each distribution and an example.
A subsequent paper examines the methods to describe discrete distributions such as the probability mass function, the mean, the variance, etc. In addition, other papers provide detailed explanations of each distribution.
Readers can find the articles in the Statistical Distributions section of the Ombu Library.