Probability that n initial cases lead to an outbreak that lasts at least g generations of transmission AND has exactly j total cases after generation g

Probability that n initial cases lead to an outbreak that lasts at least g generations of transmission AND has exactly j total cases after generation g

Usage

pSizeAtGen(g, n, j, R, k)

Arguments

g

Number of generations of transmission

n

Number of initial cases

j

Total size of outbreak after generation g

R

Reproduction number: mean of negative binomial offspring distribution

k

Dispersion parameter of negative binomial offspring distribution

Value

The probability of the given outbreak size at the given generation

Author

Damon Toth

Examples

#Probability that 10 initial cases leads to an outbreak lasting at least
# 3 transmission generations and is of exact size 30 after 3 generations  
pSizeAtGen(g=3,n=10,j=30,R=2,k=0.5)
#> [1] 0.002039269