| name | Exponential distribution |
| \lambda e^{-\lambda k} | |
| CDF | 1 - e^{-\lambda k} |
| mean | 1/\lambda |
| var | 1/\lambda^2 |
| median | \ln(2)/\lambda |
| mode | 0 |
| MGF | \frac{\lambda}{\lambda-t} |
| notes | |
| Tags |
| name | Gamma distribution |
| \frac{\beta^{\alpha}}{\Gamma(\alpha)} x^{\alpha-1}e^{-\beta x} | |
| CDF | \frac{1}{\Gamma(\alpha)} \gamma(\alpha, \beta x) |
| mean | \alpha/\beta |
| var | \alpha \ \beta^2 |
| median | |
| mode | (\alpha-1)/\beta |
| MGF | (1-\frac{t}{\beta})^{-\alpha} |
| notes | |
| Tags |
| name | Geometric distribution |
| pq^{k-1} | |
| CDF | 1-q^k |
| mean | 1/p |
| var | \frac{q}{p^2} |
| median | |
| mode | 1 |
| MGF | |
| notes | p=1-q |
| Tags |