# Simple calculations

# Distributions for Bernoulli processers

### Binomial distribution: bin_{(n,p)}(x)

### Negative binomial distribution: nb_{(k,p)}(x)

### β distribution: β_{(a,b)}(x)

### Beta-binomial distribution: βb_{(a,b,n)}(x)

### Beta negative binomial distribution: βnb_{(a,b,k)}(x)

# Distributions for Poisson processes

### Poisson distribution: pois_{λ}(x)

### Gamma distribution: γ_{(k,λ)}(x)

(special forms are Erlang, Eksponential and χ^{2} distribution)

### Gamma-gamma distribution: gγ_{(k,κ,λ)}(x)

(also known as the Beta II distribution)

### Negative binomial distribution: nb_{(k,p)}(x)

# Gaussian processes

### Normal distribution: φ_{(μ,σ)}(x)

(the notation N is often used instead of φ)

### Gamma distribution: γ_{(k,λ)}(x)

(the special form χ^{2} is often used for gaussian processes)

### Student's t distribution: t_{(μ,σ,ν)}(x)

# Other distributions

### Weibull-fordeling: weib_{(k,λ)}(x)