alpha_poisson: Obtain alpha for a Poisson offspring distribution

In reconhub/branchr: R Estimation from Cluster Sizes

Description

If the transmission can be charaterised by a Poisson offspring distribution, the function alpha.poisson(R) compute alpha for a given R. alpha is linked to probability of extinction and allow us, for any Rl>1, to find an Rs<1 guaranteeing that conditional on extinction, outbreak properties starting from Rs or Rl are exactly the same.

Usage

alpha_poisson(R)

Arguments

R	is the reproduction number, i.e. the average number of secondary cases due to a single case. This can be any positive number. if R is a vector, then the length of R must be 'n' (see below).

Value

The function returns alpha assuming a Poisson offspring distribution.

Author(s)

Pierre Nouvellet ([e-mail])

Examples

x <- alpha_poisson(c(1.5,.5))
x

reconhub/branchr documentation built on May 27, 2019, 4:01 a.m.