Table 3 Some distributions of Y with corresponding QY(p) and support of T
From: The T–R {Y} power series family of probability distributions
Standardized distributions of the random variable Y | The quantile function QY(p) | Support of T |
|---|---|---|
Exponential | − log(1 − p) | 0 < T < ∞ |
Logistic | log(p/(1 − p)) | − ∞ < T < ∞ |
Extreme value | log(− log(1 − p)) | − ∞ < T < ∞ |
log logistic | p/(1 − p) | 0 < T < ∞ |
uniform | p | 0 < T < 1 |