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. 2010 Jul;83(1):183–188. doi: 10.4269/ajtmh.2010.09-0782

Table 1.

Survival distributions

Distribution Probability density function f(t) Survival function S(t)* Parameters With covariates
Exponential λeλt eλt λ = rate Inline graphic
Gamma Inline graphic Inline graphic λ = rate v = shape Inline graphic
Weibull Inline graphic Inline graphic λ = rate v = shape Inline graphic
Log-normal Inline graphic Inline graphic μ = mean τ = precision Inline graphic
*

Φ is the standard normal cumulative distribution function, and γ is the lower incomplete gamma function.