From: A monotonic relationship between the variability of the infectious period and final size in pairwise epidemic modelling
Distribution
Parameters
Mean
Variance
Fixed
3/2
0
Uniform
U(1,2)
1/12 = 0.08(3)
Gamma
scale = 0.5, shape = 3
0.75
Exponential
2/3
9/4 = 2.25
Lognormal
σ = 1, μ = ln(3/2)−1/2
3.866
Weibull
scale = 1, shape = 0.6014
6.914