From: The generalized Cauchy family of distributions with applications
Y
Q Y (p)
(a) Uniform
p
(b) Exponential
−log(1−p)
(c) Log-logistic
p / (1−p)
(d) Logistic
log[p /(1−p)]
(e) Extreme value
log[−log(1−p)]
(f) Fréchet
−1/log(1−p)