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Table 3 Some distributions of Y with corresponding QY(p) and support of T

From: The TR {Y} power series family of probability distributions

Standardized distributions of the random variable YThe quantile function QY(p)Support of  T
Exponential− log(1 − p)0 < T < ∞
Logisticlog(p/(1 − p))− ∞  < T < ∞
Extreme valuelog(− log(1 − p))− ∞  < T < ∞
log logisticp/(1 − p)0 < T < ∞
uniformp0 < T < 1