October 2017
Intermediate to advanced
624 pages
17h 24m
English
Included here are two tables, Table A2.1 for continuous distributions and Table A2.2 for discrete distributions. They list, in alphabetical order, all the distributions described in this book. Their purpose is to assist the reader in shortlisting the distributions that might be considered for a given dataset.
Table A2.1 Summary of continuous distributions
| distribution | lower bound | upper bound | CDF | QF | shape parameters | μ | σ | γ | κ | alternative names | Excel function | |
| Amoroso | α | ∞ | ✓ | α, β, δ1, δ2 | ✓ | ✓ | ✓ | ✓ | ||||
| anglit | μ − πβ/4 | μ + πβ/4 | ✓ | ✓ | ✓ | μ, β | μ | ✓ | 0 | ✓ | ||
| arcsine (first kind) | 0 | 1 | ✓ | ✓ | ✓ | 0.5 | 0.125 | 0 | −1.5 | |||
| arcsine (second kind) | −1 | 1 | ✓ | 0 | ||||||||
| arctangent | α | ∞ | ✓ | ✓ | ✓ | α, β, δ | 0 | |||||
| asymmetric Laplace | −∞ | ∞ | ✓ | ✓ | α, β, δ | ✓ | ✓ | ✓ | ✓ | |||
| Balding–Nichols | 0 | 1 | ✓ | μ, p | μ | ✓ | ✓ | ✓ | ||||
| Bates | 0 | 1 | ✓ | n | ✓ | ✓ | 0 | ✓ | ||||
| Benini | xmin | ∞ | ✓ | ✓ | xmin, α, β | |||||||
| Benktander‐I | 0 | ∞ | ✓ | ✓ | λ, δ | ✓ | ||||||
| Benktander‐II | 0 | ∞ | ✓ | ✓ | λ, δ | ✓ | ||||||
| beta rectangular | −∞ | ∞ | ✓ | δ1, δ2, δ3 | ||||||||
| beta‐I | 0 | 1 | ✓ | δ1, δ2 | ✓ | ✓ | ✓ | ✓ | Feller–Pareto | BETA.DIST | ||
| beta‐II | 0 | β | ✓ | β, δ1, δ2, δ3 | ✓ | ✓ | ✓ | ✓ | beta primeinverted beta | |||
| beta‐IV | xmin | xmax | ✓ | xmin, xmax, δ1, δ2 | ✓ | ✓ | ✓ | ✓ | beta subjective PERT | BETA.DIST | ||
| Birnbaum–Saunders | α | ✓ | ✓ | α, β, δ | ✓ | ✓ | ✓ | ✓ | fatigue life | |||
| bounded Pareto‐I | xmin | xmax | ✓ | ✓ | ✓ | xmin, xmax, δ | ✓ | ✓ | ||||
| Bradford | xmin | xmax | ✓ | ✓ | xmin, xmax, λ | ✓ | ✓ | |||||
| Burr‐I | −∞ | ∞ | uniform | |||||||||
| Burr‐II | generalised logistic | |||||||||||
| Burr‐III | α | ∞ | ✓ | ✓ | ✓ | α, β, δ1, δ2 | ||||||
| Burr‐IV | −α |