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Table 1 Functional forms for f(t),S(t), h(t) & H(t) in log-logistic distribution [17,18,19]

From: Analyzing factors associated with time to age at first marriage among women in Ethiopia: log logistic-gamma shared frailty model

Baseline distribution

f(t)

S(t)

h(t)

H(t)

Parameter space

Log-logistic

(λγtγ−1)/(1 + λtγ)2

1/(1 + λtγ)

(λγtγ−1)/(1 + λtγ)

Ln[1 + (t/λ)γ]

λϵR, γ > 0

  1. f(t) = probability density at a time t, S(t) = Survival at a time t, h(t) = hazard at a time t, H(t) = cumulative hazard at a time t