Skip to main content
. 2025 Aug 22;25:2884. doi: 10.1186/s12889-025-24186-x

Table 2.

The hazard and cumulative hazard functions of the common parametric distributions

Distribution Inline graphic Inline graphic Parameter space
Exponential Inline graphic Inline graphic Inline graphic
Weibull Inline graphic Inline graphic Inline graphic
Gompertz Inline graphic Inline graphic Inline graphic
log-normal Inline graphic Inline graphic Inline graphic
log-logistic Inline graphic Inline graphic Inline graphic

Inline graphic and Inline graphic respectively denote the probability density and cumulative hazard functions for each of these distributions