# APPENDIXA

# Miscellaneous Definitions and List of Distributions

## A.1 Indicator Function

The often used indicator symbol _{{.}} is defined as

In addition on occasion we will also utilise [·].

## A.2 Gamma Function

The standard gamma function Γ(*α*) is defined as

## A.3 Discrete Distributions

### A.3.1 POISSON DISTRIBUTION

A Poisson distribution function is denoted as *Poisson*(λ). The random variable *N* has a Poisson distribution, denoted as *N* ~ *Poisson*(*λ*), if its probability mass function is

for all *k* ∈ {0, 1, 2, . . . }. Expectation, variance and variational coefficient of a random variable *N* ~ *Poisson*(*λ*) are

### A.3.2 BINOMIAL DISTRIBUTION

The Binomial distribution function is denoted as *Binomial*(*n, p*). The random variable *N* has a Binomial distribution, denoted as *N* ~ *Binomial*(*n, p*), if its probability mass function is

for all *k* ∈ {0, 1, 2, . . . , *n*}. Expectation, variance and variational coefficient of a ...