Combinatorial Methods in Discrete Distributions provides the necessary combinatorial methods in the theory of discrete distributions, including basic enumerative techniques, finite differences, Stirling numbers, and partition polynomials. Exploiting the method of reduction of the joint distribution of the random occupancy numbers to the joint distribution of independent random variables, given their sum, the book presents elaborate and systematic treatment of occupancy distributions, convolutions of truncated discrete distributions and compound (generalized) discrete distributions.

A self-contained study of the various applications and developments of discrete distribution theory

Written by a well-known researcher in the field, Discrete q-Distributions features an organized presentation of discrete q-distributions based on the stochastic model of a sequence of independent Bernoulli trials. In an effort to keep the book self-contained, the author covers all of the necessary basic q-sequences and q-functions.

The book begins with an introduction of the notions of a q-power, a q-factorial, and a...