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IncubationPeriodModels implements flexible Burr-family distributions for modelling incubation periods and other epidemiological delay distributions.

The package provides density, distribution, quantile, and random generation functions for several Burr-family distributions and a derived Burr-like distribution. These models offer flexible parametric representations of positive-valued event times and can accommodate a wide range of skewness, tail behaviour, and hazard shapes.

Such flexibility makes Burr distributions useful for modelling incubation periods and other delay distributions encountered in epidemiology where heavy tails and asymmetric shapes are common.

Implemented distributions

The package currently provides implementations of:

  • Burr Type III
  • Burr Type X
  • Burr Type XII
  • Derived Burr distribution

All distributions follow the standard R distribution interface:

Function Purpose
d* density
p* cumulative distribution
q* quantile
r* random generation

Installation

Install the development version from GitHub:

```r # install.packages(“pak”) pak::pak(“NyallJamieson/IncubationPeriodModels”)