Calculate f0 for Different Components

This function calculates the value of f0 based on the component, where the components represent the transmission routes: Co-Primary (CP), Primary-Secondary (PS), Primary-Tertiary (PT), and Primary-Quaternary (PQ) and beyond. We split the PS, PT, PQ (and higher) routes into two parts, such that

component 1: CP route
components 2+3: PS route
components 4+5: PT route
components 2i + (2i+1): route i+1

Usage

f0(x, mu, sigma, comp, dist = "normal", wind = 1)

Arguments

x: numeric; the value at which to evaluate the function.
mu: numeric; the mean value.
sigma: numeric; the standard deviation.
comp: integer; the component number. Component 1 is Co-Primary. Even components 2i are positive routes, odd components 2i+1 are negative routes (normal only).
dist: string; assumed distribution of the serial interval; takes "normal" or "gamma"; defaults to "normal"
wind: The window censure interval

Value

The calculated value of f0.

Details

If the dist = gamma, then the mean ($\mu$) and standard deviation (sigma) are converted into the shape (k) and scale (theta) parameters for the gamma distribution, such that the mean ($\mu$ ) and variance ($\sigma^2$) are given by: $$\mu = k \times \theta$$ $$\sigma^2 = k \times \theta^2$$.

Examples

if (FALSE) { # \dontrun{
# Basic example with normal distribution
f0(x = 0.5, mu = 12, sigma = 3, comp = 2, dist = "normal")

# Same parameters with gamma distribution
f0(x = 0.5, mu = 12, sigma = 3, comp = 2, dist = "gamma")
} # }