Appendix D
Probability and Density Functions
| Bernoulli distribution | p(y, p) = py(1 − p)1 − y, 0 < p < 1, y = 0, 1 |
| Binomial distribution |  0 < p < 1; y = 0, ..., n |
| Multinomial distribution |  |
| Exponential family (canonical form) |  |
| Uniform distribution in [a,b] |  , a < b, a ≤ y ≤ b |
| Hypergeometric distribution |
 y ∈ {0, … , N}; M ≤ N integer |
| Normal distribution |
 ;− ∞ < μ, y < ∞ , σ > 0 |
| Poisson distribution | p(y, λ)= , λ > 0, y = 0, 1, 2, … |
| Gamma distribution |  |
| Box‐Cox transformation |  |
| Exponential distribution |  |
| Beta‐distribution | 
 |
| Matern‐variogram |  ,  |
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